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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)

Select The Correct Phrase In The Dropdown Menu To Complete The Sentence For The First Job Down You Have G1the Answer Can Be Either Greater Than H1 Or Equal To H class=

Sagot :

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:

[tex]g(-1)=-2[/tex]

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

[tex]\begin{gathered} h(-1)=-3(-1)+8 \\ h(-1)=3+8 \\ h(-1)=11 \end{gathered}[/tex]

Therefore, since:

[tex]11>-2[/tex]

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

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

[tex]g(1)=5[/tex]

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

[tex]\begin{gathered} h(1)=-3(1)+8 \\ h(1)=-3+8 \\ h(1)=5 \end{gathered}[/tex]

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

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