AP PreCalc Unit 2A Review

Front

What is an exponential regression model used for?

Back

An exponential regression model is used to model data that grows or decays at a constant percentage rate, often represented by the equation Y = ab^x.

Tags

CCSS.HSF-LE.A.1A

Front

What does a residual plot indicate about a regression model?

Back

A residual plot shows the difference between observed and predicted values. Patterns in the residuals suggest that the model may not be appropriate.

Tags

CCSS.HSS.ID.B.6B

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a * b^x, where 'a' is a constant and 'b' is the base of the exponential.

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2

Front

What is the definition of a geometric sequence?

Back

A geometric sequence is a sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

What is the purpose of reflecting a function over the line y = x?

Back

Reflecting a function over the line y = x is used to find its inverse function.

Tags

CCSS.HSF-BF.B.4A

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Tags

CCSS.HSF-BF.B.4A

Front

What is the significance of the base in an exponential function?

Back

The base in an exponential function determines the rate of growth or decay; if the base is greater than 1, the function grows, and if it is between 0 and 1, it decays.

Tags

CCSS.HSF-IF.C.8B

Front

What does it mean if a residual plot shows no pattern?

Back

If a residual plot shows no pattern, it indicates that the regression model is appropriate for the data.

Tags

CCSS.HSS.ID.B.6B

Front

What is the formula for the inverse of the function f(x) = 3x^1/3 + 9?

Back

The inverse is f^{-1}(x) = (x - 9)^3 / 3.

Tags

CCSS.HSF-BF.B.4A