Question

the function h is defined by the following rule. h(x)=5x+3 complete the function table. x | h(x) -3 | -2 | 0 | 1 | 4 |

Explanation:

Step1: Substitute \( x = -3 \) into \( h(x) = 5x + 3 \)

\( h(-3)=5\times(-3)+3=-15 + 3=-12 \)

Step2: Substitute \( x = -2 \) into \( h(x) = 5x + 3 \)

\( h(-2)=5\times(-2)+3=-10 + 3=-7 \)

Step3: Substitute \( x = 0 \) into \( h(x) = 5x + 3 \)

\( h(0)=5\times0+3=0 + 3=3 \)

Step4: Substitute \( x = 1 \) into \( h(x) = 5x + 3 \)

\( h(1)=5\times1+3=5 + 3=8 \)

Step5: Substitute \( x = 4 \) into \( h(x) = 5x + 3 \)

\( h(4)=5\times4+3=20 + 3=23 \)

Answer:

When \( x = -3 \), \( h(x)=-12 \); when \( x = -2 \), \( h(x)=-7 \); when \( x = 0 \), \( h(x)=3 \); when \( x = 1 \), \( h(x)=8 \); when \( x = 4 \), \( h(x)=23 \)

So the completed table (from top to bottom for \( h(x) \)) is: \(-12\), \(-7\), \(3\), \(8\), \(23\)