Question

Which graph shiws the parent function f(x)= 2(0.5)^x

Answer 1

A graph that shows the parent exponential function include the following: A. graph A.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

`f(x) = a(b)^x`

Where:

• a represents the initial value or y-intercept.
• x represents x-variable.
• b represents the rate of change, common ratio, or base.

Based on the information provided above, we can logically deduce the following equation;

`f(x)= 2(0.5)^x\\\\f(0)= 2(0.5)^0\\\\f(0)= 2`

In this context, the y-intercept for the graph of this parent exponential function must have a y-intercept at (0, 2) as correctly depicted by graph A only.