Finding Inverses Graphically

When a function is the same as its inverse, it is called an:

• Apothem

• Involution

• Abscissa

• Oblate

How could you find the inverse of f(x) graphically? **choose the TWO correct answers**

• Reflect points of f(x) across the line y = -x

• Reflect points of f(x) across the line y = x

• Swap x and y coordinates for each point of f(x)

• Reflect points of f(x) across the line y = 0

Applying the Horizontal Line Test (HLT) to the graph of f(x) tells you whether:

• f(x) is a function

• f^-1(x) is a function

• f(x) is a relation

• f^-1(x) is dysmorphic

If the domain and range of a function, f(x), are (-∞, 3] and (-∞, ∞), respectively, what would the range of its inverse be?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(\infty,\ -\infty\right)$  

•  $\left(-\infty,\ 3\right]$  

•  $\left[3,\ -\infty\right)$  

Is the inverse of the function shown above also a function?

• Yes

• No

• I don't know

• Maybe?

A graph and its inverse are always symmetrical about the line...

• $y=x$

• $y=-x$

• $y=0$

• $y=1$

Which of the following describes the inverse of the graph shown?

• A parabola opening up

• A parabola opening left

• A parabola opening right

• A parabola opening down

What is the inverse of: {(1,3), (2,4), (6,8)}?

• {(3,1), (4,2) and (8,6)}

• {(-3,-1), (-4,-2) and (-8,-6)}

• {(1,2), (3,4) and (6,8)}

• {(-1,-3), (-2,-4) and (-6,-8)}

The equation of f(x) goes through the points (1, 4) and (4, 6).

What points does the inverse go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Are these functions inverses?

• No
• Yes
• No way to tell

Tags

CCSS.HSF-BF.B.4B