Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph the exponential function. ( g(x) = 2^x ) plot five points on the …

Question

graph the exponential function.
( g(x) = 2^x )
plot five points on the graph of the function. then click on the graph - a - function button.

Explanation:

Step1: Choose x-values

Select x-values like -2, -1, 0, 1, 2.

Step2: Calculate y for x=-2

For \( x = -2 \), \( g(-2) = 2^{-2} = \frac{1}{4} = 0.25 \). Point: (-2, 0.25)

Step3: Calculate y for x=-1

For \( x = -1 \), \( g(-1) = 2^{-1} = \frac{1}{2} = 0.5 \). Point: (-1, 0.5)

Step4: Calculate y for x=0

For \( x = 0 \), \( g(0) = 2^{0} = 1 \). Point: (0, 1)

Step5: Calculate y for x=1

For \( x = 1 \), \( g(1) = 2^{1} = 2 \). Point: (1, 2)

Step6: Calculate y for x=2

For \( x = 2 \), \( g(2) = 2^{2} = 4 \). Point: (2, 4)

Answer:

Five points are (-2, 0.25), (-1, 0.5), (0, 1), (1, 2), (2, 4). Plot these on the graph.