Question

Which of the following equals 8 when you evaluate f(2) ? Select all that apply

A) f(x)=2x+1

B) f(x)=3x-2

C) f(x)=x(5x-2)

D) f(x)=3x-2x+4

E) f(x)=|x-8|+2

Answer 1

Answer:

E) $f(x)=|x-8|+2$

Step-by-step explanation:

We will check each of the given choices by finding $f(2)$ of the given functions.

In order to find $f(2)$, we plugin $x=2$ in the function.

A) $f(x)=2x+1$

$f(2)=2(2)+1$

$f(2)=4+1$

$f(2)=5$

B) $f(x)=3x-2$

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

$f(2)=6-2$

$f(2)=4$

C) $f(x)=x(5x-2)$

$f(2)=2(5(2)-2)$

$f(2)=2(10-2)$

$f(2)=2(8)$

$f(2)=16$

D) $f(x)=3x-2x+4$

$f(2)=3(2)-2(2)+4$

$f(2)=6-4+4$

$f(2)=6$

E) $f(x)=|x-8|+2$

$f(2)=|2-8|+2$

$f(2)=|-6|+2$

$f(2)=6+2$   [Since absolute value of any number is positive]

$f(2)=8$

So, the function in E has value =8 for $f(2)$