Exponential Growth Functions

The value of an antique plate after x years can be modeled by f(x) = 18(1.05)x. Which graph can be used to approximate the number of years it will take for the plate's value to be $30? (Graph) (graph) (graph)

It's the first graph out of three

Which is an exponential growth function? f(x) = 6(0.25)x f(x) = 0.25(5.25)x f(x) = -4.25x f(x) = (-1.25)x

f(x) = 0.25(5.25)x

graph: f(x)=4^x step 1: calculate the intitial value of the function. f(0)= Step 3: Evaluate the function at two more points f(1)= and f(-1)

1.) 1 2.) 4 and 1/4

Which statements are true about exponential functions? Check all that apply. The domain is all real numbers. The range always includes negative numbers. The graph has a horizontal asymptote at x = 0. The input to an exponential function is the exponent. The base represents the multiplicative rate of change.

1.)The Domain is all real numbers 2.)The input to an exponential function is the exponent 3.)The base represents the multiplicative rate of change

On a coordinate plane, an exponential function that has a horizontal asymptote of y = 0 is shown. The function has points (negative 2, StartFraction 4 Over 81 EndFraction), (negative 1, two-ninths), (0, 1), (1, nine-halves), (2, StartFraction 81 Over 4 EndFraction) What is the multiplicative rate of change of the exponential function shown on the graph? Two-ninths 1 4 Nine-halves

9/2

which table represents the exponential function?

B, The middle one is B

A home's value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find the value of the home after x years? f(x) = 120,000(1.055x) f(x) = 120,000(0.055)x f(x) = 120,000(1.055)x f(x) = [(120,000)(1.055)]x

f(x) = 120,000(1.055)x