Question

unit 1.2 functions and graphs day 1 homework date:

1. given that $g(x) = x^3$, find each of the following:

a. $g(3)$ b. $g(-2)$
c. $g(-x)$ d. $g(4z)$

1. given that $f(x) = -2x^2 + x - 1$, find each of the following:

a. $f(0)$ b. $f(2)$
$f(-2)$ d. $f(-q)$

Explanation:

Problema 1: $g(x) = x^3$

Step1: Sustituir $x=3$

$g(3) = 3^3 = 27$

Step2: Sustituir $x=-2$

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

Step3: Sustituir $x=-x$

$g(-x) = (-x)^3 = -x^3$

Step4: Sustituir $x=4z$

$g(4z) = (4z)^3 = 64z^3$

Problema 2: $f(x) = -2x^2 + x - 1$

Step1: Sustituir $x=0$

$f(0) = -2(0)^2 + 0 - 1 = -1$

Step2: Sustituir $x=2$

$f(2) = -2(2)^2 + 2 - 1 = -2(4) + 1 = -8 + 1 = -7$

Step3: Sustituir $x=-2$

$f(-2) = -2(-2)^2 + (-2) - 1 = -2(4) - 3 = -8 - 3 = -11$

Step4: Sustituir $x=-q$

$f(-q) = -2(-q)^2 + (-q) - 1 = -2q^2 - q - 1$

Answer:

1. a. $27$

b. $-8$
c. $-x^3$
d. $64z^3$

1. a. $-1$

b. $-7$
c. $-11$
d. $-2q^2 - q - 1$