5-6 - Table of Values Complete the table of values for thegiven function.5. g(x) = x – 4x6. h(x) - Зд3 + 2x - 5h(x)(x)6-1-2-1232

Answered: 5-6 - Table of Values Complete the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 11E

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Related questions

Question

5-6 - Table of Values Complete the table of values for the
given function.
5. g(x) = x – 4x
6. h(x) - Зд3 + 2x - 5
h(x)
(x)6
-1
-2
-1
2
3
2

Expert Solution

Step 1

Part (a)

Given function is

$g (x) = x^{2} - 4 x$

Step 2

At $x = - 1$

$\begin{array}{rcl} g (- 1) & = & {(- 1)}^{2} - 4 \times (- 1) \\ = & 1 + 4 \\ = & 5 \end{array}$

At $x = 0$

$\begin{array}{rcl} g (0) & = & {(0)}^{2} - 4 \times 0 \\ = & 0 \end{array}$

At $x = 1$

$\begin{array}{rcl} g (1) & = & {(1)}^{2} - 4 \times 1 \\ = & 1 - 4 \\ = & - 3 \end{array}$

At $x = 2$

$\begin{array}{rcl} g (2) & = & {(2)}^{2} - 4 \times 2 \\ = & 4 - 8 \\ = & - 4 \end{array}$

At $x = 3$

$\begin{array}{rcl} g (3) & = & {(3)}^{2} - 4 \times 3 \\ = & 9 - 12 \\ = & - 3 \end{array}$

i.e.

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5-6 - Table of Values Complete the table of values for the given function. 5. g(x) = x – 4x 6. h(x) - Зд3 + 2x - 5 h(x) (x)6 -1 -2 -1 2 3 2