Exponential Functions

Front

What does the y-intercept of the graph of an exponential function represent?

Back

The initial amount of the quantity being modeled.

Tags

CCSS.HSF-IF.C.7E

Front

What type of function is p(x) = 13x - 5?

Back

Linear.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

In the expression 12(1.015)^t, what does the value 12 represent?

Back

The initial amount of elephants in the park.

Tags

CCSS.HSF.LE.B.5

Front

What type of function is g(x) = 740(0.001)^(3x)?

Back

Exponential decay.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

y = 50(1.4)^x.

Tags

CCSS.HSF.LE.A.2

Front

What is an exponential function?

Back

A function of the form f(x) = a(b)^x, where a is a constant, b is a positive real number, and b ≠ 1.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(b)^x, where b > 1.

Front

What is the general form of an exponential decay function?

Back

f(x) = a(b)^x, where 0 < b < 1.

Front

How do you identify exponential growth from a graph?

Back

The graph rises steeply as x increases.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify exponential decay from a graph?

Back

The graph falls steeply as x increases.

Tags

CCSS.HSF-IF.C.7E