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Which one of the following equations could describe the above graph?OA. Y=1.5^(x+2)-3OB. Y=2^x+6Oc. = y=(1/2)^x+6D. Y= 3^(x-1)

Which One Of The Following Equations Could Describe The Above GraphOA Y15x23OB Y2x6Oc Y12x6D Y 3x1 class=

Sagot :

Given:

The points lie on the graph are (1,1) and (2,3).

Required:

We need to find the equation of the given graph.

Explanation:

Consider the individual equation.

A.

[tex]y=1.5^{(x+2)}-3[/tex]

Substitute x =1 and y =1 in the equation.

[tex]1=1.5^{(1+2)}-3[/tex][tex]1=0.375[/tex]

This is not true,

This is not a required equation.

B.

[tex]y=2^x+6[/tex]

Substitute x =1 and y =1 in the equation.

[tex]1=2^1+6[/tex][tex]1=8[/tex]

This is not true,

This is not a required equation.

C.

[tex]y=(\frac{1}{2})^x+6[/tex]

Substitute x =1 and y =1 in the equation.

[tex]1=(\frac{1}{2})^1+6[/tex][tex]1=6.5[/tex]

This is not true,

This is not a required equation.

D.

[tex]y=3^{(x-1)}[/tex]

Substitute x =1 and y =1 in the equation.

[tex]1=3^{(1-1)}[/tex][tex]1=1[/tex]

This is true.

Substitute x =2 and y =3 in the equation.

[tex]3=3^{(2-1)}[/tex][tex]3=3[/tex]

This is true.

This is a required equation.

Final answer:

[tex]y=3^{(x-1)}[/tex]

View image ZydenF50904
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