Writing and Graphing Exponential Functions

Front

What does 'a' represent in the exponential function y=a(b)^x?

Back

y-intercept/initial value.

Front

Which of the following is an increasing exponential function whose y-intercept is 50? y = 50(0.05)^x, y = 50x - 4, y = (2)^x + 50, y = 50(1.4)^x

Back

y = 50(1.4)^x.

Front

What is the horizontal line which the values of the function cannot fall below?

Back

Asymptote.

Front

Write the equation that models a tennis tournament starting with 128 players, halving each round: 128, 64, 32, 16.

Back

y = 128(0.5)^x.

Front

What is the horizontal asymptote for the graph of f(x)=2(3)^x?

Back

y=0.

Front

Define an exponential function.

Back

A function of the form y = a(b)^x where 'a' is a constant and 'b' is a positive real number.

Front

What is the growth factor in an exponential function?

Back

The base 'b' in the function y = a(b)^x.

Front

What does it mean for an exponential function to be increasing?

Back

The function's output values increase as the input values increase, typically when b > 1.

Front

What does it mean for an exponential function to be decreasing?

Back

The function's output values decrease as the input values increase, typically when 0 < b < 1.

Front

What is the y-intercept of the function y = 3(2)^x?

Back

The y-intercept is 3.