Question

Graph f(x)=2•4^x-2
A
B
C
D
E

Answer 1

The correct graph for the function f(x)=2•4^x-2 is D.

The graph of an exponential equation

The graph of an exponential equation can be generally represent as
`f(x) = a* b ^x` where the constants are a and b, and b is not equal to 1. The graph of an exponential equation always pass through the y-axis while the x-axis is at zero i.e. (0, p).

where;

• p = any y-values.

From the given function;

`f(x) = 2 * 4^((x-2))`

The graph of the given exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0. The x-intercept is none and the y-intercept is (0, 0.125).