Math Problem Statement

solve

Complete the function table for h(x) = 2x + 5.

Solution

To solve the function table for h(x)=2x+5h(x) = 2x + 5, substitute each xx value into the function:

  1. x=5x = -5 h(5)=2(5)+5=10+5=5h(-5) = 2(-5) + 5 = -10 + 5 = -5

  2. x=4x = -4 h(4)=2(4)+5=8+5=3h(-4) = 2(-4) + 5 = -8 + 5 = -3

  3. x=0x = 0 h(0)=2(0)+5=0+5=5h(0) = 2(0) + 5 = 0 + 5 = 5

  4. x=1x = 1 h(1)=2(1)+5=2+5=7h(1) = 2(1) + 5 = 2 + 5 = 7

  5. x=4x = 4 h(4)=2(4)+5=8+5=13h(4) = 2(4) + 5 = 8 + 5 = 13

The completed function table is:

\hline x & h(x) \\ \hline -5 & -5 \\ -4 & -3 \\ 0 & 5 \\ 1 & 7 \\ 4 & 13 \\ \hline \end{array}$$

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Tables

Formulas

h(x) = 2x + 5

Theorems

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Suitable Grade Level

Grade 7-8