Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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eoc prep for attributes of quadratic functions 4 of 17 possible points:…
$h(2)=1.4$ This means 2 seconds after Jennifer leaves the diving board, her height above the water is 1.4 meters.
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what are the equations of the asymptotes of the graph of $f(x)=\frac{3}…
A. $y=9$, D. $x=2$
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what are the domain and range of the function? $f(x) = \\frac{3}{5x^5}$…
Domain: \( (-\infty, 0)\cup(0, \infty) \) Range: \( (-\infty, 0)\cup(0, \infty) \) (corresponding to the option "Domain: \( (-\infty, 0)\cup(0, \infty) \), Range: \( (-\infty, 0)\…
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expression | quotient 8÷2 | 4 8÷1 | 8 8÷(1/2) | 16 8÷(1/3) | 24 (a) com…
never
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find the quotients. expression | quotient --- | --- $8\\div2$ | $4$ $8\…
1. The completed table quotients are already provided: 4, 8, 16, 24 2. The answer to each division problem was **never** less than 8.
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which equation is represented by the graph below? options: ○ ( y = ln x…
\( y = e^x \) (the third option in the given choices)
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lets find \\(\\frac{1}{2} + \\frac{3}{7}\\). first write the addition w…
$\frac{1}{2} + \frac{3}{7} = \frac{7}{14} + \frac{6}{14} = \frac{13}{14}$
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enter the correct numbers in the boxes. enter the correct values in the…
# Explanation: ## Step1: Identify the parent function and transformation The parent cube root function is \( y = \sqrt[3]{x} \), which has a point \((0,0)\) (the inflection point)…
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state a function of the form $g(x) = sqrt3{\frac{1}{b}(x - h)} + k$ tha…
# Explanation: ## Step1: Identify the parent function and transformation The parent function of the cube root function is \( y = \sqrt[3]{x} \), which passes through \((0,0)\), \(…
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find \\(\\frac{2}{5} \\times 3\\). find the product. \\(\\frac{2}{5} \\…
$\frac{6}{5}$ or $1\frac{1}{5}$
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find the product. \\(\frac{2}{5} \\times 4 = \frac{8}{?}\\)
$\frac{8}{5}$
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find the product. \\(\frac{2}{5} \\times 4 = \\) ?
$\frac{8}{5}$ or $1\frac{3}{5}$
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find the product. \\(\frac{3}{4} \\times 5 = \frac{?}{?}\\)
$\frac{15}{4}$
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find \\(\\frac{3}{5} \\times 10\\). find the product. \\(\\frac{3}{5} \…
6
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find \\(\\frac{5}{9} \\times 2\\). which expression is equivalent to \\…
$\frac{10}{9}$; A. $5 \times \frac{2}{9}$
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find the derivative of the function. $f(t) = \\text{arccsc}(-t^2)$ $f(t…
$\boldsymbol{\frac{2}{t\sqrt{t^4 - 1}}}$
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find y $y = \\frac{3}{x^2 + 9}$ find the slope of the line tangent to t…
$y = \frac{1}{6}(x - 3) + \frac{\pi}{4}$
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question fully simplify. $(sqrt{3})(5sqrt{-10})$ answer attempt 1 out o…
$5i\sqrt{30}$
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(i) identify the critical numbers of ( f ). (enter your answers as a co…
### (ii) Increasing: \((-1, 1), (3, \infty)\) Decreasing: \((-\infty, -1), (1, 3)\) ### (iii) relative minimum \(x = -1, 3\) relative maximum \(x = 1\)
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(i) identify the critical numbers of ( f ). (enter your answers as a co…
relative minimum $x = 1$ relative maximum $x = 0, 2$
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(b) (1) identify the critical numbers of ( f ). (enter your answers as …
(i) $x=-1$ (ii) increasing: $(-1, \infty)$ decreasing: $(-\infty, -1)$
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2 which of the following is a limitation of twin studies? a. the studie…
C. The samples are not representative.
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9y + 2x = 2(9 + x) step 1 of 2: find the x - and y - intercepts, if pos…
x-intercept: absent y-intercept: $(0, 2)$
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solve the logarithmic equation. be sure to reject any value of x that i…
$e^2=\sqrt{x + 7}$
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solve the following logarithmic equation. be sure to reject any value o…
Exact answer: \(x = e^{-\frac{1}{8}}\) Decimal approximation: \(x\approx0.88\)
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chapter 1.1 1. given $f(x) = 2x^2 - 3x$. evaluate and simplify $dfrac{f…
\( 4x + 2h - 3 \)
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if $f(x)=6+\frac{4}{x}+\frac{3}{x^2}$, find $f(x)$. find $f(4)$. questi…
$f'(x) = -\frac{4}{x^2} - \frac{6}{x^3}$ $f'(4) = -\frac{11}{32}$ --- ### For the second problem ($f(x) = 3 + \frac{4}{x} + \frac{4}{x^2}$):
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graph the absolute value equation that represents the given situation, …
The points where the river bottom is 20 feet below the surface are $(10, -20)$ and $(490, -20)$. The absolute value graph has a vertex at $(250, -50)$, with one ray going from $(2…
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consider the end behavior of the function $g(x) = -\frac{1}{3}|x| + 9$ …
As x approaches negative Infinity, $g(x)$ approaches **negative** Infinity. As x approaches positive Infinity, $g(x)$ approaches **negative** Infinity.
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which function is represented by this graph? options: \\( f(x)=|x + 1| …
$f(x)=|x-1|+2$ (matching the last option)
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select the correct answer. if the graph of $f(x) = |x|$ is compressed v…
$g(x) = \frac{1}{3} | x - 3 |$
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here is a system of equations. \\begin{cases} y = -2x + 1 \\\\ y = \\fr…
(a) (Graph: Draw line 1 through $(0,1)$ and $(0.5,0)$; Draw line 2 through $(0,-2)$ and $(4,-1)$) (b) $(1.3, -1.7)$
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if the graph of $f(x) = |x|$ is stretched vertically by a factor of 5 a…
D. $g(x) = 5|x + 2|$
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consider this graph. replace h and k with the correct values to write t…
The function is $\boldsymbol{y = |x + 4| - 1}$, where $h = -4$ and $k = -1$.
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fill in the table using this function rule. y = -2x + 4 x | y -6 | -3 |…
When \( x = -6 \), \( y = 16 \); when \( x = -3 \), \( y = 10 \); when \( x = 0 \), \( y = 4 \); when \( x = 3 \), \( y = -2 \) The filled table is: | \( x \) | \( y \) | | ---- |…
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select the correct answer from each drop - down menu. complete the stat…
1. maximum 2. decreasing 3. negative
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write the equation for the relationship shown in the graph.
$y=4x$
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write the equation for the relationship shown in the graph.
$y=x+2$
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write the equation for the relationship shown in the graph.
$y = x + 9$
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write the equation for the relationship shown in the graph.
$y = x + 5$
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write the equation for the relationship shown in the graph.
$y=x-6$
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write the equation for the relationship shown in the graph.
$y = \frac{6}{5}x - \frac{54}{5}$
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write the equation for the relationship shown in the graph.
$y=2x$
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calculator to obtain a decimal approximation for the solution. 2^{x + 2…
In terms of logarithms, \(x=\frac{\log(345)}{\log(2)}-2\) (or \(x=\frac{\ln(345)}{\ln(2)}-2\)); the decimal approximation is approximately \(6.43\) (rounded to two decimal places)…
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rite the equation for the relationship shown in the graph.
$y=\frac{1}{2}x$
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for problems 8 - 10, evaluate. 8. $312 - (4 + 1)$ 9. $4cdot|9 - 5| + 6$…
8. $21$ 9. $22$ 10. $3$
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simplify the expression below using order of operations.\\(7^2 - 8 + 8 …
97
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graph this function: y = -2x click to select points on the graph.
Plot the points $(0, 0)$, $(20, -40)$, and $(-20, 40)$ on the grid, then draw a straight line passing through all three points to represent the function $y=-2x$.
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graph this function: ( y = x + 80 ) click to select points on the graph.
Plot the points $(0, 80)$, $(-80, 0)$, and $(20, 100)$, then draw a straight line through them to graph $y=x+80$.
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solve the following exponential equation. express the solution set in t…
In terms of natural logarithms, the solution is \( x = \frac{1-\ln(247)}{6} \), and the decimal approximation is \( x\approx - 0.753 \)
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y = \\frac{5}{3}x click to select points on the graph.
The key points to plot are $(0, 0)$, $(3, 5)$, and $(-3, -5)$; draw a straight line through these points to graph $y=\frac{5}{3}x$.
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graph this function: $y = \\frac{5}{8}x$ click to select points on the …
Plot the points $(0,0)$, $(8,5)$, and $(-8,-5)$, then draw a straight line through them to graph $y=\frac{5}{8}x$.
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llowing system of equations graphically on the set of $y = \\frac{1}{2}…
The solution of the system of equations is \(\boldsymbol{(-4,5)}\)
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graph this function: y = 3x click to select points on the graph.
The graph of $y=3x$ is a straight line passing through the points $(-2, -6)$, $(0, 0)$, and $(2, 6)$.
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solve the exponential equation. express the solution in terms of natura…
In terms of natural logarithms, the solution is \( x = \ln(16.24) \), and the decimal approximation is approximately \( 2.79 \) (or more precisely, using a calculator, \( \ln(16.2…
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graph this function: y = x + 7 click to select points on the graph.
Plot the points $(0, 7)$, $(-7, 0)$, and $(2, 9)$, then draw a straight line passing through them to graph $y=x+7$.
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suppose a brownie recipe calls for $2\\frac{1}{5}$ cups of sugar. each …
\(\frac{22}{5}\) (or \(4\frac{2}{5}\))
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evaluate the expression below. \\(\frac{3}{8} div \frac{1}{8}\\)
3
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evaluate the expression below. (\frac{2}{3} div 2)
\(\frac{1}{3}\)
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model each multiplication problem with an array. 7 × 3 5 × 5 6 × 4
1. Para $7 \times 3$: ``` ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ``` 2. Para $5 \times 5$: ``` ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ``` 3. Para $6 \times 4$: ``` ■…
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debere 1) 12 - 10 + 4 =? 2) 9 - 4 =? 2) 9 + 4 =?
1) $12-10+4 = 6$ 2) $9-4 = 5$ 3) $9+4 = 13$
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let $f(x) = (x^2 - 1)^4$. over what interval is the function decreasing…
$(-1,0)$ and $(1,\infty)$
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2. fill in the blanks to make the following equations true: a. $984 \\d…
$4$
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) is $(-6, 1)$ To plot the lines: 1. For $y = -\frac{1}{2}x - 2$: plot $(0, -2)$ and $(4, -4)$, then draw the line through them. 2. For $x - 6y = -…
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what is an example of a shared standard in society? * ○ everyone speaki…
B. A school schedule with set start and end times ### Second Question: Which of the following is a key principle of multiculturalism?
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complete the table and write the equation for the relationship shown in…
### Completed Table (sample): | $x$ | $y$ | |-----|-----| | 5 | 0 | | 7 | 2 | | 10 | 5 | | 15 | 10 | | 19 | 14 | ### Equation: $y = x - 5$
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which of the following is a drawback of assimilation in society? * it a…
C. Minority cultures may feel excluded or overlooked ### Second Question (Multiculturalism in Schools)
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) is $(-2, 2)$ To plot the lines: 1. For $y=\frac{1}{2}x+3$: click the points $(0, 3)$ and $(2, 4)$ to draw the line. 2. For $3x+y=-4$ (or $y=-3x-4…
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let ( f(x) = (x^2 - 1)^4 ). over what interval is the function decreasi…
\( (-\infty, - 1) \) and \( (0, 1) \) (corresponding to the option: \( (-\infty, -1) \) and \( (0, 1) \))
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multiply or divide. enter your answers in the boxes. 11 × 4 = 11 × 8 = …
$11 \times 4 = 44$ $11 \times 8 = 88$ $11 \div 11 = 1$ $3 \times 11 = 33$
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3. \\(\frac{-7}{5i}\\) 5. \\(\frac{1 + 4i}{2i}\\)
To solve the problem of simplifying complex fractions involving imaginary numbers, we can use the method of multiplying the numerator and denominator by the conjugate of the denom…
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write the equation for the relationship shown in the graph.
$y=x$
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write the equation for the relationship shown in the graph.
$y = x - 1$
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martha likes to walk around a park near her house. the park is square, …
$9\frac{4}{5}$ mi (or $\frac{49}{5}$ mi, or 9.8 mi)
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write the equation for the relationship shown in the graph.
$y = x + 9$
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write the equation for the relationship shown in the graph.
$y=x-8$
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k ( 13\frac{5}{9} - 8\frac{1}{6} ) u ( \frac{3}{4} div \frac{7}{10} ) s…
K: $5\frac{7}{18}$ U: $1\frac{1}{14}$ S: $2\frac{2}{9}$ A: $3\frac{7}{10}$
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graph the equation. $y = 5|x + 6|$
The graph is a V-shaped absolute value curve with vertex at $(-6, 0)$, passing through $(-4, 10)$ and $(-8, 10)$, opening upwards with a slope of $5$ for $x > -6$ and $-5$ for $x …
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15. if $f(x) = -3x + 8$, find $f(x) = -7$
$x = 5$
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suppose that as an object falls from the top of a cliff, its position i…
\(-32 - 16h\) (corresponding to the first option)
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if $h(x) = \\frac{-5x + 2}{3}$, find $h(1)$.
$-1$
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let $f(x) = \\frac{x^2 + x - 6}{x - 2}$. fill out the tables to evaluat…
5
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complete the table and write the equation for the relationship shown in…
### Completed Table (x, y): (0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10), (6, 11), (7, 12), (8, 13), (9, 14), (10, 15), (11, 16), (12, 17), (13, 18), (14, 19), (15, 20) ### Equ…
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determine if each expression is less than 1 or greater than 1. less tha…
- \(1\frac{2}{5}-\frac{4}{5}\): Less than 1 - \(1\frac{9}{12}-\frac{5}{12}\): Greater than 1 - \(1\frac{4}{6}-\frac{2}{6}\): Greater than 1
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complete the table and write the equation for the relationship shown in…
### Completed Table (x, y): (0, 4), (1, 5), (2, 6), (3, 7), (4, 8), (5, 9), (6, 10), (7, 11), (8, 12), (9, 13), (10, 14), (11, 15), (12, 16), (13, 17), (14, 18), (15, 19), (16, 20…
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if $f(x) = -3x + 8$, find $f(5)$.
$-7$
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complete the table and write the equation for the relationship shown in…
### Completed Table (sample key points): | $x$ | $y$ | |-----|-----| | 9 | 0 | | 10 | 1 | | 12 | 3 | | 15 | 6 | | 18 | 9 | | 20 | 11 | ### Equation: $y = x - 9$
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complete the table and write the equation for the relationship shown in…
### Completed Table: | $x$ | $y$ | |-----|-----| | 1 | 0 | | 2 | 1 | | 3 | 2 | | 4 | 3 | | 5 | 4 | | 6 | 5 | | 7 | 6 | | 8 | 7 | | 9 | 8 | | 10 | 9 | | 11 | 10 | ### Equation: $y …
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use the graph to answer the question. describe the continuity of the gr…
The function has a nonremovable discontinuity at x = 3.
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use the graph to answer the question. describe the continuity of the gr…
The function has a removable discontinuity at $x = 3$.
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if $f(x)$ is an odd function and the graph of $f(x)$ includes points in…
It includes points in Quadrant II.
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if $f(x)$ is an even function, which statement about the graph of $f(x)…
It has line symmetry about the \( y \)-axis.
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f(x) = |2x - 4|, find f(x) = -16
There is no real solution for $x$ because the absolute value of an expression cannot be negative.
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f(x) = |2x - 4|, find f( x ) = -16
There is no real solution for $x$ (no real value of $x$ makes $f(x) = -16$).
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which graph represents an even function?
The graph of \( h(x) \) (the third graph, the downward - opening parabola symmetric about the \( y \)-axis) represents an even function.
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select all zeros of the polynomial function. \\( g(x) = x^4 - 9x^2 - 4x…
-2, 1, 3
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if $h(x) = \\frac{-2x + 5}{4}$, find $h(x) = -1.5$
$x = 5.5$
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solve all zeros of the polynomial function. $f(x) = x^4 + 5x^3 - 7x^2 -…
-5, -3
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which graph represents an odd function?
The graph of \( g(x) \) (the first graph) represents an odd function.
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multiply: \\frac{3}{4} \\times \\frac{1}{2} = input box submit
$\frac{3}{8}$