- a) Yes, f(x) = 5^x is an exponential function because the variable x is in the exponent.
- b) No, g(x) = x^6 is not an exponential function; it is a power function because the variable x is the base.
- c) No, h(x) = (-4)^x is not a standard exponential function because the base is negative, which leads to undefined or complex values for many real exponents.
- d) Yes, r(x) = (3/4)^x is an exponential function with a fractional base between 0 and 1.
- e) Technically yes, but trivially: f(x) = 1^x equals 1 for all x, so it is a constant function, which can be considered a degenerate exponential function.
- f) Yes, f(x) = 7^(-x) is an exponential function; it can be rewritten as (1/7)^x.
- g) Yes, f(x) = 9^(2x) is an exponential function; it can be rewritten as (81)^x.
- h) Yes, f(x) = 2^(-3x) is an exponential function; it can be rewritten as (1/8)^x.
Parent Tip: Review the logic above to help your child master the concept of exponential function worksheet.
