Question

Graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function.

f(x) = 4x
g(x) = 4x2

The 2 in the 2nd equation is supposed to be an exponent btw

Answer 1

Hi,

The answer is (-0.383,1) and (2,∞).

Explanation:

See the attachment.

g(x) is a parabolic function, and the Image is always ≥ 0.

f(x) is a exponential function, and the Image is always ≥ 0.

At x = -0.383 , g(x) = 0.588 and f(x) = 0.588.

For x=(-0.383, 1), g(x) is greater than f(x).

At x = 1, g(x) = 1 and f(x) = 1.

For x=(1, 2), f(x) is greater than g(x).

At x= 2, g(x) = 16 and f(x) = 16

For x=(2,∞), g(x) is greater than f(x)