Question

1. let $f(x) = x^3$. from the list below, select the three statements that are true.

a. $f(0)=0$ - true
b. $f(1)=8$ - false
c. $f(-2)=-8$ - true
d. $f(2)=8$ - true
e. $f(-3)=27$ - false
f. $f(5)=75$ - false

Explanation:

Step1: Evaluate f(0)

$f(0) = 0^3 = 0$

Step2: Evaluate f(1)

$f(1) = 1^3 = 1$

Step3: Evaluate f(-2)

$f(-2) = (-2)^3 = -8$

Step4: Evaluate f(2)

$f(2) = 2^3 = 8$

Step5: Evaluate f(-3)

$f(-3) = (-3)^3 = -27$

Step6: Evaluate f(5)

$f(5) = 5^3 = 125$

Answer:

A. $f(0)=0$
C. $f(-2)=-8$
D. $f(2)=8$