Question

given the function $f(x) = 4x^2 - 5x + 4$. calculate the following values: $f(-2) = $ $f(-1) = $ $f(0) = $ $f(1) = $ $f(2) = $ question help: video message instructor calculator

Explanation:

Step1: Substitute $x=-2$ into $f(x)$

$f(-2)=4(-2)^2 -5(-2)+4$

Step2: Simplify the expression

$f(-2)=4(4)+10+4=16+10+4=30$

Step3: Substitute $x=-1$ into $f(x)$

$f(-1)=4(-1)^2 -5(-1)+4$

Step4: Simplify the expression

$f(-1)=4(1)+5+4=4+5+4=13$

Step5: Substitute $x=0$ into $f(x)$

$f(0)=4(0)^2 -5(0)+4$

Step6: Simplify the expression

$f(0)=0-0+4=4$

Step7: Substitute $x=1$ into $f(x)$

$f(1)=4(1)^2 -5(1)+4$

Step8: Simplify the expression

$f(1)=4(1)-5+4=4-5+4=3$

Step9: Substitute $x=2$ into $f(x)$

$f(2)=4(2)^2 -5(2)+4$

Step10: Simplify the expression

$f(2)=4(4)-10+4=16-10+4=10$

Answer:

$f(-2)=30$
$f(-1)=13$
$f(0)=4$
$f(1)=3$
$f(2)=10$