Question

question 17 | lesson 1 - 3 review
text alternative
use the graph of y = f(x) to
a. determine f(-2).
b. determine f(3).
c. find all x for which f(x)= - 1.
d. find all x for which f(x)= - 4.
e. determine the x - intercept(s).
f. determine the y - intercept.
g. determine the domain of f.
h. determine the range of f.

Explanation:

a. Step1: Locate x=-2 on graph

Find x=-2 on x-axis.

a. Step2: Read y-value at x=-2

y=-2, so f(-2)=-2.

b. Step1: Locate x=3 on graph

Find x=3 on x-axis.

b. Step2: Read y-value at x=3

y=-1, so f(3)=-1.

c. Step1: Locate y=-1 on graph

Find y=-1 on y-axis.

c. Step2: Find x where y=-1

x=-1 and x=3.

d. Step1: Locate y=-4 on graph

Find y=-4 on y-axis.

d. Step2: Find x where y=-4

x=-4.

e. Step1: Locate y=0 on graph

Find y=0 (x-axis).

e. Step2: Find x where y=0

x=0 and x=2.

f. Step1: Locate x=0 on graph

Find x=0 on x-axis.

f. Step2: Read y-value at x=0

y=0, so y-intercept=0.

g. Step1: Check x-range of graph

Graph spans all x.

g. Step2: Domain is all real numbers

(-∞, ∞).

h. Step1: Check y-range of graph

Max y=1, min y→-∞.

h. Step2: Range is y≤1

(-∞, 1].

Answer:

a. -2
b. -1
c. x=-1, x=3
d. x=-4
e. x=0, x=2
f. 0
g. (-∞, ∞)
h. (-∞, 1]