Question

Which of the following are equations of exponential functions? (Choose all that apply.)

Option 1: f(x) = x^2+5x−5
Option 2: p(x) = −3^x
Option 3: q(x) = 49⋅7^(4x−2)
Option 4: g(x) = 5^(6−3x)

Answer 1

Option 2 and Option 4 are equations of exponential functions because the variable x appears as an exponent.

Step-by-step explanation:

An exponential function is a type of function where the independent variable appears as an exponent. In other words, the function grows or decays at an exponential rate.

Option 2, p(x) = -3^x, and Option 4, g(x) = 5^(6-3x), are equations of exponential functions. In both options, the variable x appears as an exponent, which is a characteristic of exponential functions.

Option 1, f(x) = x^2+5x-5, and Option 3, q(x) = 49⋅7^(4x-2), are not equations of exponential functions. In Option 1, the variable x appears as a squared term, not an exponent, and in Option 3, the variable x appears as an exponent but is not the only term in the exponent.