Question

Select the correct phrase in the drop-down menu to complete the sentence for the first job down you have G(-1)____the answer can be either greater than h(-1) or equal to h(-1) or less than h(-1) . For the second drop down answer it has G(1)____ the answer can be either greater than h(1) or equal to h(1) or less than h(1)

Answer 1

We are given the graph of a parabola represented by g(x) and the linear function h(x). To determine the value of g(-1) we go to the graph of the function and determine that the value is:

`g(-1)=-2`

To determine the value of h(-1) we replace the value of "x" in h(x) for -1:

`\begin{gathered} h(-1)=-3(-1)+8 \\ h(-1)=3+8 \\ h(-1)=11 \end{gathered}`

Therefore, since:

`11>-2`

we have that g(-1) is less than h(-1).

We do a similar procedure to determine g(1) from the graph:

`g(1)=5`

And we replace x = 1 in h(x) to get h(1):

`\begin{gathered} h(1)=-3(1)+8 \\ h(1)=-3+8 \\ h(1)=5 \end{gathered}`

Since we get the same value this means that g(1) is equal to h(1).