Vertical Stretches and Shrinks of Exponential Functions: Quiz

What is the decay factor of the exponential function represented by the table?

A. 1/3

Which exponential function has an initial value of 2?

A. f(x)=2(3^x)

Consider the exponential function f(x) = 3(1/3)^x and its graph. Which statements are true for this function and graph? Select three options.

2. The base of the function is 1/3. 3. The function shows exponential decay. 4. The function is a stretch of the function f(x) = (1/3)^x

Which graph represents a function with an initial value of 1/2?

B. Graph 2 ((-1, 0.1), (0, 0.5), (1, 2.5))

Which function is a shrink of the exponential growth function shown on the graph?

B. f(x)=1/2(3)^x

What is the value of a for the exponential function in the graph represented in the form of f(x) = a(bx)?

C. 3

Which graph represents a function with a growth factor of 5?

C. Graph 3 ((-1, 0.04), (0. 0.2), (1, 1))

Which exponential function is represented by the graph?

C. f(x) = 3(2x)

Which function could be a stretch of the exponential decay function shown on the graph?

C. f(x)=2(1/6)

Consider the exponential function f(x) = 1/5(15x). What is the value of the growth factor of the function?

D. 15