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question 5 given the function $f(x) = 8x^2 + 3x - 7$. calculate the fol…

Question

question 5
given the function $f(x) = 8x^2 + 3x - 7$. calculate the following values:
$f(0) = -7$
$f(2) = 31$
$f(-2) = -45$

Explanation:

Step1: Substitute $x=0$ into $f(x)$

$f(0)=8(0)^2+3(0)-7$

Step2: Simplify to find $f(0)$

$f(0)=0+0-7=-7$

Step3: Substitute $x=2$ into $f(x)$

$f(2)=8(2)^2+3(2)-7$

Step4: Simplify to find $f(2)$

$f(2)=8(4)+6-7=32+6-7=31$

Step5: Substitute $x=-2$ into $f(x)$

$f(-2)=8(-2)^2+3(-2)-7$

Step6: Simplify to find $f(-2)$

$f(-2)=8(4)-6-7=32-6-7=19$

Answer:

$f(0)=-7$
$f(2)=31$
$f(-2)=19$