Chapter 3: Q. 3.96 (page 322)

For the function $f (x) = 2 x^{2} + 4 x - 3$ , evaluate the function.
$f (2)$
$f (- 3)$
$f (h)$

Short Answer

Expert verified

Part (a) $f (2) = 13$

Part (b) $f (- 3) = 3$

Part (c) $f (h) = 2 h^{2} + 4 h - 3$

Step by step solution

Part (a) Step 1.

Substitute $x = 2$ in $f (x) = 2 x^{2} + 4 x - 3$ ,

$\begin{array}{rcl} f (2) & = & 2 {(2)}^{2} + 4 (2) - 3 \\ = & 2 (4) + 8 - 3 \\ = & 8 + 5 \\ = & 13 \end{array}$

Part (b) Step 1.

Substitute $x = - 3$ in localid="1644633261905" $f (x) = 2 x^{2} + 4 x - 3$ ,

$f (- 3) = 2 {(- 3)}^{2} + 4 (- 3) - 3 f (- 3) = 18 - 12 - 3 f (- 3) = 3$

Part (c) Step 1.

Substitute $x = h$ inlocalid="1644633275522" $f (x) = 2 x^{2} + 4 x - 3$ ,

localid="1644633469575" $\begin{array}{rcl} f (h) & = & 2 {(h)}^{2} + 4 (h) - 3 \\ = & 2 h^{2} + 4 h - 3 \end{array}$

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For the function $f (x) = 2 x^{2} + 4 x - 3$ , evaluate the function.
$f (2)$
$f (- 3)$
$f (h)$

Short Answer

Step by step solution

Part (a) Step 1.

Part (b) Step 1.

Part (c) Step 1.

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