Question

1. for which of the functions below, does ( f(-3)=20 )? show work under each choice. circle all that apply.

a. ( f(x)=x+(-17) ) b. ( f(x)=x^{2}+11 ) c. ( f(x)=5x + 5 )

Explanation:

Step1: Substitute \(x = - 3\) into function \(a\)

For \(f(x)=x+( - 17)\), when \(x=-3\), we have \(f(-3)=-3+( - 17)\)

$$f(-3)=-3 - 17=-20$$

Step2: Substitute \(x = - 3\) into function \(b\)

For \(f(x)=x^{2}+11\), when \(x = - 3\), we use the formula \((a)^{2}=a\times a\). So \(f(-3)=(-3)^{2}+11\)

$$f(-3)=9 + 11=20$$

Step3: Substitute \(x=-3\) into function \(c\)

For \(f(x)=5x + 5\), when \(x=-3\), we have \(f(-3)=5\times(-3)+5\)

$$f(-3)=-15 + 5=-10$$

Answer:

B. \(f(x)=x^{2}+11\)