f(x)=4^x plot five points on the graph of the function, and also draw the asymptote. then click on the graph…

f(x)=4^x plot five points on the graph of the function, and also draw the asymptote. then click on the graph - a - function but

f(x)=4^x plot five points on the graph of the function, and also draw the asymptote. then click on the graph - a - function but

Answer

Explanation:

Step1: Find the y - values for different x - values

When (x=- 2), (y = 4^{-2}=\frac{1}{4^{2}}=\frac{1}{16}) When (x=-1), (y = 4^{-1}=\frac{1}{4}) When (x = 0), (y=4^{0}=1) When (x = 1), (y = 4^{1}=4) When (x = 2), (y=4^{2}=16)

Step2: Determine the asymptote

For an exponential function of the form (y = a^{x}) ((a>0,a\neq1)), the horizontal asymptote is (y = 0)

Answer:

The five points are ((-2,\frac{1}{16}),(-1,\frac{1}{4}),(0,1),(1,4),(2,16)) and the horizontal asymptote is (y = 0)