Mid Ch3 Review Inverse Linears and Quadratic Functions

If given function f(x), has an inverse function f^-1(x), which of the following statements is true?

• If (a, b) is on the graph of f(x), then the graph of f^-1(x) must contain (b, a).

• If f(x) has a y-intercept at (0, c), then the x-intercept of f^-1(x) must be (-c, 0).

• Both f(x) and f-¹(x) must have the same domain.

Tags

CCSS.HSF-BF.B.4C

• If (a, b) is on the graph of f(x), then the graph of f^-1(x) must contain (-b, –a).

• If f(x) has a y-intercept at (0, -c), then the x-intercept of f^-1(x) must be (c, 0).

• The range of f(x) will be the domain of f^-1(x)

Tags

CCSS.HSF-BF.B.4C

What type of function is the inverse of the function shown in the graph?

• A linear

• B quadratic

• C exponential

Which table best represents the square root function that is the inverse of this quadratic function?

• 
• 
• 

Tags

CCSS.HSF-BF.B.4D

What is the domain of the inverse of the function shown in the graph?

• A (-4, ∞)

• B (-3,∞)

• C (-∞, -2)

Tags

CCSS.HSF-BF.B.4D

Are f(x) and g(x) inverses? Explain how you know.

Tags

CCSS.HSF-BF.B.4B

Given the function f(x) = x² — 5; what is the x intercept of its inverse?

xintercept: (_,_)

(a)  

Tags

CCSS.HSF-BF.B.4A

Given the function f(x) = x² -5; x≥0, what is the y intercept of its inverse?

y-intercept: (_,_) Round to the nearest hundredth.

(a)  

Tags

CCSS.HSF-BF.B.4D

If the domain of f(x) =x² − 2 is restricted to x ≥ 0, then the domain and range of the inverse are:

Tags

CCSS.HSF-BF.B.4D

If the set {(6, 7), (4,1), (−3, −2), (−1, 2)} represents points on the graph of f(x) = (x + 3)² − 2, give a set of points that lie on the graph of the inverse of f(x).

​ ​ ​ ​ ​ ​

• (7,-6)
• (-2,-3)
• (2,-1)
• (7,6)
• (3,2)

Tags

CCSS.HSF-BF.B.4C