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Answer :

Given:

[tex]y=4^x+1[/tex]

When x=0,

[tex]y=4^0+1[/tex][tex]y=2[/tex]

When x=1,

[tex]\begin{gathered} y=4+1 \\ y=5 \end{gathered}[/tex]

When x=2,

[tex]\begin{gathered} y=4^2+1 \\ y=17 \end{gathered}[/tex]

When x=-1,

[tex]\begin{gathered} y=4^{-1^{}}+1 \\ y=\frac{1}{4}+1 \\ y=1.25 \end{gathered}[/tex]

When x=-2,

[tex]\begin{gathered} y=4^{-2}+1 \\ y=\frac{1}{4^2}+1 \\ y=1.0625 \end{gathered}[/tex]

Option A is the correct answer.

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