Question

1. what is the zero of the function below?

$f(x)=3x - 15$
a. -15
b. 0
c. 5
d. 3

1. which of the following relations represents a function.

i.

x	y
-3	9
-2	4
2	4
3	9

ii.
(oval with 1,2,3,4 and oval with 6,7; 1→6, 2→6, 3→7, 4→7)
iii.
(graph with points)
a. i only
b. i and iii
c. ii and iii
d. i, ii, and iii

1. given the function below, find $f(-7)$

$f(x) = -2x - 1$
a. 3
b. 13
c. 4
d. -15

1. which function has the values of $f(1)=8$ and $f(7)= -10$

a. $f(x) = -3x + 11$
b. $f(x) = -2x + 10$
c. $f(x) = -3x + 25$
d. $f(x) = 3x - 24$

1. find the slope of the line passing through the points $(-6,1)$ and $(4,-4)$

a. $\frac{1}{2}$
b. 2
c. $-\frac{1}{2}$
d. -2

1. what is the slope of the line $2x + 5y = 15$

a. 2
b. -2
c. $\frac{2}{5}$
d. $-\frac{2}{5}$

1. what is the x - intercept of the line below?

$10x - 2y = 20$
a. 2
b. 5
c. 10
d. -10

1. what is the equation of the line below in slope intercept form?

$x - 3y = 6$
a. $y = \frac{1}{3}x - 2$
b. $y = 3x - 2$
c. $y = -\frac{1}{3}x - 2$
d. $y = -3x - 2$

1. what is the slope of the following equation?

$y = -\frac{1}{2}x + 7$
a. 2
b. $-\frac{1}{2}$
c. 7
d. $\frac{7}{2}$

1. which is true given the linear equation below?

$3x + 4y = 4$
a. it has a positive slope
b. the x intercept is 3
c. the y intercept is 1
d. it passes through the point $(-1,2)$

Explanation:

Question 9

Step1: Set function to zero

$3x - 15 = 0$

Step2: Solve for x

$3x = 15 \implies x = 5$

Question 10

Step1: Check relation I

Each x has unique y (valid function)

Step2: Check relation II

x=1 maps to 2 y-values (invalid)

Step3: Check relation III

Vertical line test passes (valid function)

Question 11

Step1: Substitute x=-7

$f(-7) = -2(-7) - 1$

Step2: Calculate result

$14 - 1 = 13$

Question 12

Answer:

C. 5