Question

given a polynomial function f(x) = -x^2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have in common

Answer 1

This shows that both functions have the same y-intercept

Polynomial and exponential functions

Given the following functions as shown:

f(x) = -x^2 + 2x + 1

g(x) = 2^x

The y-intercept occurs at x = 0

For f(x) =  -x^2 + 2x + 1

f(0) =  -0^2 + 2(0) + 1

f(0) = 1

For the g(x),  the y intercept is caculated as:

g(0) = 2^0
g(0) = 1

This shows that both functions have the same y-intercept

Learn more on intercept here: brainly.com/question/1884491