Exponential Function Flashcard

Front

What is the domain of the exponential function?

Back

All real numbers.

Front

What is the initial value of a population of fish that starts at 8,000 and decreases by 6% per year?

Back

8,000.

Tags

CCSS.HSF-LE.A.1C

Front

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

Back

4.

Front

What is the average rate of change of the function from x=-1 to x=0 if f(-1) = 2 and f(0) = 0?

Back

-2.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the range of the exponential function?

Back

y > -2.

Tags

CCSS.HSF-IF.C.7E

Front

Define an exponential function.

Back

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

Front

What does the base of an exponential function represent?

Back

The base indicates the growth (b > 1) or decay (0 < b < 1) rate of the function.

Tags

CCSS.HSF-IF.C.8B

Front

How does an exponential function behave as x approaches infinity?

Back

It increases without bound if b > 1 or approaches 0 if 0 < b < 1.

Tags

CCSS.HSF-IF.C.7E

Front

What is the y-intercept of the exponential function f(x) = a(b)^x?

Back

The y-intercept is the value of f(0), which equals a.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of changing the base in an exponential function?

Back

Changing the base affects the rate of growth or decay of the function.

Tags

CCSS.HSF-IF.C.7E