Algebra EOC Vocabulary

Front

What is the common ratio in the function f(x)=2(4)^x?

Back

The common ratio is 4.

Front

What is the y-intercept (initial value) in the function f(x)=13(0.27)^x?

Back

The y-intercept is 13.

Tags

CCSS.HSF-IF.C.7E

Front

What does the inequality 6

Back

It represents the domain values.

Tags

CCSS.6.EE.B.8

Front

What type of function is f(x)=18(1.04)^x?

Back

It is an exponential growth function.

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 difference between exponential growth and decay?

Back

Exponential growth occurs when the base of the exponent is greater than 1, while exponential decay occurs when the base is between 0 and 1.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for finding the y-intercept of an exponential function?

Back

The y-intercept can be found by evaluating f(0), which gives f(0) = a(b)^0 = a.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify the base in an exponential function?

Back

The base is the number that is raised to the power of x in the function f(x) = a(b)^x.

Front

What does the term 'initial value' refer to in an exponential function?

Back

The initial value refers to the y-intercept of the function, which is the value of f(x) when x=0.

Tags

CCSS.HSF.LE.B.5

Front

What is the general form of an exponential decay function?

Back

The general form is f(x) = a(b)^x, where 0 < b < 1.