Exponential Functions Introduction

Front

What is the y-intercept of the exponential function?

Back

(0,1)

Tags

CCSS.HSF-IF.C.7E

Front

Which of the following statements best describes the table? This is a linear function because the rate of change is constantly adding by 5. This is an exponential function because the rate of change is constantly multiplying by 5. This is a linear function because the rate of change is constantly adding by 6. This is an exponential function because the rate of change is constantly multiplying by 6.

Back

This is an exponential function because the rate of change is constantly multiplying by 6.

Front

Is it a function?

Back

It IS NOT a function.

Tags

CCSS.8.F.A.1

Front

The line in which the graph gets CLOSE to but NEVER touches is called the _________

Back

asymptote

Tags

CCSS.HSF-IF.C.7D

Front

Assuming the trend continues, how many houses would there be in Month 6?

Back

96

Tags

CCSS.HSF.BF.A.2

Front

Define an exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the base in an exponential function?

Back

The base is the constant b in the function f(x) = a * b^x, which determines the rate of growth or decay.

Tags

CCSS.HSF-IF.C.8B

Front

What does it mean for an exponential function to grow?

Back

An exponential function grows when the base b is greater than 1, resulting in values that increase rapidly as x increases.

Tags

CCSS.HSF-IF.C.8B

Front

What does it mean for an exponential function to decay?

Back

An exponential function decays when the base b is between 0 and 1, resulting in values that decrease rapidly as x increases.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general shape of the graph of an exponential function?

Back

The graph of an exponential function rises steeply or falls sharply, depending on whether it is growing or decaying.

Tags

CCSS.HSF-IF.C.7E