Question

Given a polynomial function f(x) = 2x2 – 3x 5 and an exponential function g(x) = 2x – 5, what key features do f(x) and g(x) have in common? both f(x) and g(x) have the same domain of ([infinity], -[infinity]). both f(x) and g(x) have the same range of [0, -[infinity]). both f(x) and g(x) have the same x-intercept of (2, 0). both f(x) and g(x) increase over the interval of [-4 , [infinity]).

Answer 1

The key features that f(x) = 2x^2 - 3x + 5 and g(x) = 2^x - 5 have in common.

Step-by-step explanation:

Both the polynomial function f(x) = 2x^2 - 3x + 5 and the exponential function g(x) = 2^x - 5 have the same domain of (-∞, ∞). This means that any real number can be plugged into both functions.

Both f(x) and g(x) have different ranges. The range of f(x) is [5,∞), while the range of g(x) is (-∞,-5].

Neither f(x) nor g(x) have an x-intercept of (2,0). However, they can have x-intercepts at different values.

Both f(x) and g(x) increase over the interval [-4, ∞). This means that as x increases, both functions will also increase.