Exponential Functions

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Tags

CCSS.HSF-IF.C.7E

Front

What is the starting term for the function: f(x) = 300(1.16)^x?

Back

300

Tags

CCSS.HSF.LE.B.5

Front

Identify the y-intercept (initial value) in the function f(x)=13(0.27)^x.

Back

13

Tags

CCSS.HSF-IF.C.7E

Front

If the population of a species of insects doubles every year and there are 1600 insects initially, what is the function for this scenario?

Back

f(x)=1600\cdot2^x

Tags

CCSS.HSF.LE.A.2

Front

What is the y-intercept of the function f(x)=3x+3?

Back

3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Define an exponential function.

Back

A function of the form f(x) = a(b^x), where a is a constant, b is the base, and x is the exponent.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^x, where r is the growth rate.

Tags

CCSS.HSF-IF.C.8B

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

What does the base 'b' in an exponential function represent?

Back

The growth factor or decay factor.

Tags

CCSS.HSF-IF.C.8B

Front

How do you find the y-intercept of an exponential function?

Back

Set x = 0 in the function and solve for f(0).

Tags

CCSS.HSF-IF.C.7E