Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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graph the parabola: $y = (x - 1)^2 - 5$ plot five points on the parabol…
Points to plot: 1. Vertex: $(1, -5)$ 2. Left of vertex: $(-1, -1)$, $(0, -4)$ 3. Right of vertex: $(2, -4)$, $(3, -1)$ Connect these points to graph the parabola.
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graph the parabola. \\( y=(x-2)^{2}+1 \\) plot five points on the parab…
Five points to plot: 1. Vertex: $(2, 1)$ 2. Left point 1: $(0, 5)$ 3. Left point 2: $(1, 2)$ 4. Right point 1: $(3, 2)$ 5. Right point 2: $(4, 5)$ Connect these points to graph th…
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(\frac{21}{168})
\(\frac{1}{8}\)
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calculate \\(\\frac{2,4}{2,9 - 1,4}\\)
\( 1.5 \)
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0,6·(-10)³ + 50
\(-550\)
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in the following graph, which represents the following exponential equa…
The graph representing \( y = -2^x \) is the one that is a decreasing exponential curve passing through \( (0, - 1) \) with horizontal asymptote \( y = 0 \) (the specific option, …
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2 select the correct answer dan uses a remote control to make his drone…
C. The drone is on the ground at 0 and 4 seconds.
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select the correct answer. if ( g(x) = f(4x) ), which statement is true…
C. The graph of function \( f \) is compressed horizontally by a scale factor of \( \frac{1}{4} \) to create the graph of function \( g \)
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select the correct answer consider the graph of function g graph of a p…
B. \( g(x) = 3f(x) \)
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4. determine the interval(s) on which the function is decreasing enter …
$(0, 5)$
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the graph of f(x) and a line tangent to the curve at x = 4 are shown. i…
# Explanation: ## Step1: Find \( f(4) \) and \( f'(4) \) From the graph, the tangent line at \( x = 4 \) passes through \( (0, 5) \) and \( (7, 0) \). The slope of the tangent lin…
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concentric zone model and bid - rent curve cost apartment buildings sub…
E. The model does not show the cost - to - distance effects of multiple suburban central business districts and the pattern of residential areas that surround them.
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attempt 1: 10 attempts remaining. given the function $f(x) = 7x - 6$, c…
s: - \( f(a) = 7a - 6 \) - \( f(a + h) = 7a + 7h - 6 \) - \( \frac{f(a + h) - f(a)}{h} = 7 \)
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write an equation for the function graphed below (graph of a function w…
$y=\frac{-x^2}{(x+4)(x-3)}$ or expanded $y=\frac{-x^2}{x^2+x-12}$
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write an equation for the function graphed below. question help: submit…
$y=\frac{4(x-3)}{(x+3)(x-4)}$
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final exam (calculus 1) score: 30/31 answered: 31/31 question 13 score …
\( f^\prime(x)=-\frac{9}{2\sqrt{x}}-\frac{60}{x^{11}} \)
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value: 3 identify if the graph is even, odd, or neither. graph with x-a…
Even
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identify if the graph is even, odd, or neither.
Neither
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x | y 0 | -3 1 | -6 4 | -12 9 | -18 16 | -27 x | y 0 | 1 1 | -2 4 | -5 …
The table with the following (x,y) pairs: (-1, 0), (0, -3), (3, -6), (8, -9), (15, -12) (the bottom-left table)
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13 our congress is the voice of the people in our government. the indiv…
A. The Great Compromise ### Question 2
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13. explain how finances can be a barrier to keeping physically fit.
Finances act as a barrier to physical fitness in these key ways: 1. High costs for gym memberships, classes, equipment, and personal training exclude those with limited income fro…
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find the sum. 3.5 + (-4.5) = \\square
\(-1\)
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approximate the following number using a calculator. $6^{-1.3}$ $6^{-1.…
$6^{-1.3} \approx 0.095$
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approximate the number using a calculator. $8^{1.7}$ $8^{1.7} \\approx …
$8^{1.7} \approx 22.944$
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if a ball is thrown into the air at 96 feet per second from the top of …
a. B. (The graph starting at 105 ft, peaking, then falling to near 0 at t=8) b. - Height at 2 seconds: 233 ft; Height at 4 seconds: 233 ft - Correct explanation: B. These two valu…
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graph the function with a graphing calculator using a standard viewing …
A. [The upward-opening parabola graph with vertex below the x-axis] The graph has a turning point in the standard viewing window.
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complete the table of values for the following function and then plot t…
| $x$ | $f(x)=4x-2$ | |-----|--------------| | $-2$ | $-10$ | | $-1$ | $-6$ | | $0$ | $-2$ | | $1$ | $2$ | | $2$ | $6$ |
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for a function that is strictly decreasing, a right hand riemann sum is…
Overestimate
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score: 11/12 answered: 11/12 question 12 0/1 pt let ( a(x) ) represent …
\( A(1)=\frac{3}{2} \) (or \( 1.5 \)), \( A(2)=3 \), \( A(3)=\frac{9}{2} \) (or \( 4.5 \)), \( A(4)=6 \)
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what does this picture represent? left riemann sum 1 right riemann sum …
1. Left Riemann Sum
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what does this picture represent? left riemann sum right riemann sum mi…
1. Left Riemann Sum
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what is the slope of the line with the equation $y = -\frac{3}{2}x + 4$…
B. $-\frac{3}{2}$
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(18, -19) (1, -19) what is the slope of the line that passes through th…
zero
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write an equation for the function whose graph is shown to the right. t…
$y=\sqrt{x+1}-1$
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identify the graph of the given function: $y = \\frac{3x}{5} - 3$
C. The graph with positive shallow slope, crossing y-axis at (0, -3) and x-axis at (5, 0)
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fill in each blank so that the resulting statement is true. the graph o…
The graph of \(y = f(6x)\) is obtained by a horizontal shrink of the graph of \(y = f(x)\) by dividing each of its x-coordinates by 6.
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the graph of $y = f(6x)$ is obtained by a ______ shrink of the graph of…
First blank: horizontal Second blank: horizontal
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complete the sentence below suppose that the graph of a function f is k…
horizontal; to the right
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inés makes a wooden tongue drum with her brother. the top of the drum i…
The thickness of the thicker tongue is $\frac{7}{8}$ inch and the thickness of the thinner tongue is $\frac{5}{8}$ inch.
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5) what is $7^2 + 5^2$?
74
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graph this function. y = 9^x plot two points to graph the function.
Plot the points $(0, 1)$ and $(1, 9)$ on the coordinate grid, then draw a smooth exponential curve passing through them (the curve approaches the x-axis as $x$ approaches negative…
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graph the line with the equation $y = 2x - 2$.
To graph \( y = 2x-2 \): 1. Plot the y - intercept \( (0,-2) \). 2. Use the slope \( m = 2 \) to find another point (e.g., from \( (0,-2) \), move up 2, right 1 to get \( (1,0) \)…
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look at this graph: write the equation of the line.
\( y = 50 \)
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type the correct answer in each box. use numerals instead of words. wha…
\( h(x) = \boldsymbol{-2}(x + \boldsymbol{3})(x - \boldsymbol{1}) \)
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evaluate the function graphically. find ( f(7) )
\(-8\)
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evaluate the function graphically. find ( f(7) )
\(-8\)
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graph the equation $y = 2x - 3$.
A straight line passing through the points $(0, -3)$ and $(1, -1)$ (and extended in both directions on the provided coordinate grid).
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which function has a discontinuity when $x = -2$? - $f(x) = \\frac{x + …
$f(x)=\begin{cases}2x-1, & x < -2 \\x^2+2, & x > -2\end{cases}$
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which statement best describes the domain and range of the function $f(…
The domain consists of all real numbers such that $x eq 1$, while the range consists of all real numbers such that $y eq \frac{2}{3}$.
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use the graphs to evaluate the expressions below. $f(g(5)) = \\square$ …
$f(g(5)) = 3$ $g(f(2)) = 3$ $f(f(4)) = 5$ $g(g(1)) = 1$
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look at this graph: write the equation of the line.
\( y = 50 \)
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look at this graph: a coordinate grid with x and y axes from -10 to 10,…
\( y=-7 \)
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which statement is true regarding the functions on the graph? \\( f(6) …
B. $f(3) = g(3)$
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if $f(x) = 6x - 4$, what is $f(x)$ when $x = 8$? ○ 2 ○ 16 ○ 44 ○ 52
C. 44
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which statement is true regarding the graphed functions?\ options: $f(0…
$f(0) = g(0)$
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what is the inverse of the function $f(x) = \\frac{1}{9}x + 2$? $\\circ…
B. $h(x) = 9x - 18$
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which represents the inverse of the function $f(x) = 4x$? $h(x) = x + 4…
D. $h(x)=\frac{1}{4}x$
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the function f(x) is given by the set of ordered pairs. {(1,0), (-10,2)…
\( f(0) = 6 \) (the option corresponding to \( f(0)=6 \))
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which parent functions have negative y-values? □ absolute value □ linea…
B. Linear, C. Greatest Integer, D. Cubic, F. Rational
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graph the function f(x) = cos(x - π).
The graph of $f(x)=\cos(x - \pi)$ (which is equivalent to $y =-\cos x$) is a cosine - shaped curve with amplitude $1$, period $2\pi$, passing through points like $(0,-1),(\frac{\p…
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which parent functions have extrema? square root greatest integer expon…
Quadratic, Absolute Value
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differentiate $6x^{\\frac{2}{3}}$. a. $6x^{\\frac{1}{3}}$ b. $4x^{\\fra…
d. $4x^{-1/3}$
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differentiate $6x^{\\frac{1}{3}}$. a. $6x^{\\frac{1}{3}}$ b. $4x^{\\fra…
d. $4x^{-\frac{1}{3}}$
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the graph of quadratic function m is shown on the grid. if $p(x) = x^2$…
$-3$
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quadratic transformatl... charish coleman 18 of 20 next if $k(x) = x^2$…
$3$
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if $t(x) = x^2$ and $w(x) = t(x - n)$, what is the value of $n$? the gr…
$-5$
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#22 a student graphed the linear parent function $f$ and $h(x) = \\frac…
The graph of $h$ is less steep than the graph of $f$.
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function w is in the form $y = ax^2 + c$. if the value of $a$ is less t…
The top-left parabola (opens downward, has a $y$-intercept at positive $y=3$)
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given $y = x^2 + 10x + 8$, determine the turning point. a. $(-5,17)$ b.…
d. (-5,-17)
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differentiate $6x^{\\frac{2}{3}}$. a. $6x^{\\frac{1}{3}}$ b. $4x^{\\fra…
d. $4x^{-1/3}$
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the graph of $f(x) = x^2$ is reflected over the x-axis and compressed h…
The top-left (green) graph
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the graph of $f(x)=x^2$ was transformed to create $g(x)=(x + 3.5)^2 - 4…
B. A vertical shift down 4 units D. A horizontal shift to the left 3.5 units
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give the slope and y-intercept for the graph of the function $f(x) = \\…
The slope is \(\frac{1}{3}\) The \(y\) - intercept is \(-6\)
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look at this graph: what are the coordinates of the vertex? ( , ) submit
(0, 8) Wait, no, maybe the vertex is at (0, 8). Wait, perhaps the graph's vertex is at (0, 8). So the answer is (0, 8).
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suppose a ball thrown into the air has its height (in feet) given by th…
a. \(h(1)=159\); this is the height of the ball (159 feet) 1 second after it is thrown. b. \(h(5)=415\) feet c. The ball stops climbing at \(t=5\) seconds. Testing \(t=6\) gives \…
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the profit from the production and sale of music players is given by th…
a. $P(500)=395500$. This means the profit from producing and selling 500 music players is 395500 (in the relevant currency unit). b. $P(8000)=395500$
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find the domain of the function. $f(x) = \\frac{x + 3}{6 - x}$
All real numbers except $x=6$, or in interval notation: $(-\infty, 6) \cup (6, \infty)$
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u5, l10: dividing decimals by decimals: algorithm homework 1. here is h…
The product equals 31.59, so Han's answer is correct. # 2. Step-by-Step Format: ## Step1: Rewrite division to eliminate decimals Multiply numerator and denominator by 10: $\frac{3…
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u5, l10: dividing decimals by decimals: algorithm exit ticket: the quot…
1. $368 \div 23$ (other equivalent expressions like $3680 \div 230$ are also valid) 2. $16$
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a car weighs 2321 pounds. if 375 pounds of old parts are removed and re…
2379
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find the value of the sum \\(\\sum\\limits_{j=1}^{32} (4j^2 - 8j + 2)\\…
$41600$
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find the value of the sum \\(\\sum\\limits_{i=5}^{7} \\frac{8}{i - 1}\\…
$\frac{74}{15}$
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write the following sum using sigma notation. $7 - \\frac{7}{2} + \\fra…
$\sum_{n=1}^{46} (-1)^{n+1}\frac{7}{n}$
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let $f(x) = \\begin{cases} 3x + 5 & \\text{if } x < -3 \\\\ x^2 + 1 & \…
\(x=-3\)
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attempt 1: 10 attempts remaining. find the limit of the function: \\(\\…
\(0\)
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attempt 1: 10 attempts remaining. determine the x-values where f(x) is …
\( 1,3 \)
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attempt 1: 10 attempts remaining. determine the x-values where f(x) is …
\( 1,3 \)
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the function f(x) is graphed above. find the equations of the vertical …
First vertical asymptote: \( x = -10 \) Second vertical asymptote: \( x = 10 \) (Wait, but maybe the asymptotes are at \( x = -10 \) and \( x = 10 \). So the answers are \( x = -1…
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attempt 1: 10 attempts remaining. find the limit of the function: \\(\\…
\( 1 \)
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attempt 1: 10 attempts remaining. find the limit of the function at the…
\( 160 \)
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handwritten step-by-step work legibly and boxed your answer. please sho…
Remaining factors: $(x-5)(x+3)$ All zeros: $x=-3$, $x=5$, $x=6$ Fully factored polynomial: $g(x)=(x+3)(x-5)(x-6)$ ### Graph Notes: - The cubic polynomial has a positive leading co…
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3. if $f(x)=x^2 + 4x + 4$, then the domain of $y = \\frac{1}{f(x)}$ is …
B. $\{x|x eq -2, x \in \mathbb{R}\}$ --- ### Question 4
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sketch each the graph of each function. approximate each real zero, rel…
Real zeros: $x\approx-0.7$, $x\approx-1.8$ Relative maximum: $(0.3, 3.2)$ Relative minima: $(-1.7, -3.6)$, $(1.3, 1.7)$ (Graph: A quartic opening upwards, crossing the x-axis at t…
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mandy has a credit score of 450. which of the following judgments would…
A. She is a poor credit risk.
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3 multiple choice 5 points king kong wanted the people of skull island …
3. D. innovation 4. True
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7 multiple choice 10 points when a nation or individual concentrates it…
7. A. Specialization 8. B. False
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7 14 8 4 -16 ---- 68 2. 4 16 5 6 -18 ---- 38
Both subtraction problems are solved correctly. 1. $84 - 16 = 68$ 2. $56 - 18 = 38$
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activity 3 • distributed practice add. 1. \\begin{array}{r} 237 \\\\ + …
1. $1135$ 2. $1061$ 3. $1410$ 4. $1311$ 5. $1021$ 6. $751$
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select the correct answer. the function ( g(x) = x^2 ) is transformed t…
B. The graph of \( h \) is the graph of \( g \) horizontally shifted right 3 units.
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explain why the function is discontinuous at the given number a. (selec…
The correct option is: \( f(3) \) is defined and \( \lim_{x ightarrow3}f(x) \) is finite, but they are not equal.