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, compute g(x)

Select $x=-2,-1,0,1,2$:

• $x=-2$: $g(-2)=2^{-2}=\frac{1}{4}=0.25$
• $x=-1$: $g(-1)=2^{-1}=\frac{1}{2}=0.5$
• $x=0$: $g(0)=2^{0}=1$
• $x=1$: $g(1)=2^{1}=2$
• $x=2$: $g(2)=2^{2}=4$

Step2: List coordinate points

Points: $(-2, 0.25), (-1, 0.5), (0, 1), (1, 2), (2, 4)$

Step3: Plot points, draw curve

Plot the points on the grid, then draw a smooth increasing curve through them, approaching the x-axis (y=0) as $x\to-\infty$.

Answer:

The five points to plot are $(-2, 0.25)$, $(-1, 0.5)$, $(0, 1)$, $(1, 2)$, $(2, 4)$. Draw a smooth exponential curve through these points that approaches the x-axis for negative x-values and rises steeply for positive x-values.