Question

Which ordered pair represent points on the graph of this exponential function?f(x) = 2^x+1A(1, 3)B(-4, -7)C(-2, -3)D(4, 9)

Answer 1

`A(1,3)`

Explanation:

To determine which of the given ordered pairs belongs to the given function, substitute each x-value and see if the y-value is correct.

`\begin{gathered} f(1)=2^1+1 \\ f(1)=3 \\ \\ f(-4)=2^(-4)+1 \\ f(-4)=(17)/(16) \end{gathered}`
`\begin{gathered} f(-2)=2^(-2)+1 \\ f(-2)=(5)/(4) \\ \\ f(4)=2^4+1 \\ f(4)=17 \end{gathered}`

Therefore, the only point that represents points on the given function is A(1,3)