Question

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

f(x) = 4^x
g(x) = 4x^2

x = -1
x = 0
x = 1
x = 2

Answer 1

x=0 is answer your welcome

Answer 2

x = 0

Explanation:

Here, the given functions are,

`f(x)=4^x`

`g(x)=4x^2`

Function f(x) is an exponential function that having y-intercept (0,1) and horizontal asymptote is x-axis,

Function g(x) is a upward parabola along y-axis that having vertex (0,0),

And, axis of symmetry is x = 0,

By making the graph of both f(x) and g(x),

We found that,

The intersection point of f(x) and g(x) is (-0.383, 0.588 ),

Hence, the x-value in which the exponential function surpasses the polynomial function is 0.