Answer:
Exponential
Table of values: Attachment 1
Graph: Plot points (0, 1) and (1, 4) - Attachment 2
Step-by-step explanation:
Given equation:
[tex]y = 4^x[/tex]
The given equation represents an exponential function.
An exponential function is a mathematical function where the independent variable appears as an exponent, resulting in rapid growth (or decay) as the input changes.
In this case, as x increases, the value of y grows. Conversely, as x decreases, the value of y decreases rapidly, approaching but never quite touching the x-axis.
To fill in the table of values, substitute the given values of x into the equation and solve for the corresponding y-values:
[tex]x= -2 \implies y=4^{-2}=\dfrac{1}{16}\\\\\\x= -1 \implies y=4^{-1}=\dfrac{1}{4}\\\\\\x= 0 \implies y=4^0=1\\\\\\x = 1 \implies y=4^1=4\\\\\\x = 2 \implies y=4^2=16[/tex]
To graph the equation on the given coordinate plane, plot two points from the table, (0, 1) and (1, 4), and click the third "draw graph" button (showing an exponential growth curve passing through two points).
