Question

Given the function f(x) = 7x2 - 4x + 7. Calculate the following values: f(-2) = f(-1) = f(0) = f(1) = f(2)=

Answer 1

To find f(-1), substitute x by -1

$\begin{gathered} f(-1)=7(-1)^2-4(-1)+7 \\ f(-1)=7(1)+4+7 \\ f(-1)=7+4+7 \\ f(-1)=18 \end{gathered}$

To find f(0), substitute x by 0

$\begin{gathered} f(0)=7(0)-4(0)+7 \\ f(0)=0-0+7 \\ f(0)=7 \end{gathered}$

To find f(1), substitute x by (1)

$\begin{gathered} f(1)=7(1)^2-4(1)+7 \\ f(1)=7(1)-4+7 \\ f(1)=7-4+7 \\ f(1)=10 \end{gathered}$

To find f(2), substitute x by 2

$\begin{gathered} f(2)=7(2)^2-4(2)+7 \\ f(2)=7(4)-8+7 \\ f(2)=28-8+7 \\ f(2)=27 \end{gathered}$