graph the exponential function.\n\n$f(x)=4^{x}$\n\nplot five points on the graph of the function, and also…

graph the exponential function.\n\n$f(x)=4^{x}$\n\nplot five points on the graph of the function, and also draw the asymptote. then click on the graph - a - function button.

graph the exponential function.\n\n$f(x)=4^{x}$\n\nplot five points on the graph of the function, and also draw the asymptote. then click on the graph - a - function button.

Answer

Explanation:

Step 1: Identify the horizontal asymptote

For ( f(x) = 4^x ), the horizontal asymptote is ( y = 0 ).

Step 2: Calculate points for ( x = -2 )

Substitute ( x = -2 ): ( f(-2) = 4^{-2} = \frac{1}{16} ). Point: ( (-2, \frac{1}{16}) ).

Step 3: Calculate points for ( x = -1 )

Substitute ( x = -1 ): ( f(-1) = 4^{-1} = \frac{1}{4} ). Point: ( (-1, \frac{1}{4}) ).

Step 4: Calculate points for ( x = 0 )

Substitute ( x = 0 ): ( f(0) = 4^{0} = 1 ). Point: ( (0, 1) ).

Step 5: Calculate points for ( x = 1 )

Substitute ( x = 1 ): ( f(1) = 4^{1} = 4 ). Point: ( (1, 4) ).

Step 6: Calculate points for ( x = 2 )

Substitute ( x = 2 ): ( f(2) = 4^{2} = 16 ). Point: ( (2, 16) ).

Answer:

Five points: ( (-2, \frac{1}{16}) ), ( (-1, \frac{1}{4}) ), ( (0, 1) ), ( (1, 4) ), ( (2, 16) ); Asymptote: ( y = 0 ).