Polynomial Function: Composition & Inverses Quiz

Authored by Adelyn Wallace

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Polynomial Function: Composition & Inverses

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GRAPHING QUESTION

5 mins • 1 pt

The graph displays a linear function that includes the points $\left(-1,\ 6\right)$ and $\left(4,\ 2\right)$ .
Drag the points below to create the inverse of the function.

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

-40

-30

-28

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$g\left(f\left(2\right)\right)$

-1

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the inverse of $f\left(x\right)=3x+2$

$f^{-1}\left(x\right)=\frac{x-2}{3}$

$f^{-1}\left(x\right)=\frac{x-3}{2}$

$f^{-1}\left(x\right)=\frac{3x}{2}$

$f^{-1}\left(x\right)=\frac{2+x}{3}$

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

solve for y

replace y with f^-1(x)

solve for x

find the greatest common factor

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What does an inverse function do?

Nothing

Makes it bigger

Does the opposite of the original function

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

y = x

y =1

y = 0

y = x + 1

Tags

CCSS.HSF-BF.B.4C

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Polynomial Function: Composition & Inverses

The graph displays a linear function that includes the points (−1, 6)\left(-1,\ 6\right)(−1, 6) and (4, 2)\left(4,\ 2\right)(4, 2) .Drag the points below to create the inverse of the function.

If f(x)=1xf\left(x\right)=\frac{1}{x}f(x)=x1​ and g(x)=3x+2g\left(x\right)=3x+2g(x)=3x+2 find (g∘g)(−4)\left(g\circ g\right)\left(-4\right)(g∘g)(−4)

g(f(2))g\left(f\left(2\right)\right)g(f(2))

Find the inverse of f(x)=3x+2f\left(x\right)=3x+2f(x)=3x+2

When finding the inverse of a relation, 1st you replace f(x) with y2nd switch the x's and y'sWhat do you do next?

What does an inverse function do?

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

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Discover more resources for Mathematics

The graph displays a linear function that includes the points $\left(-1,\ 6\right)$ and $\left(4,\ 2\right)$ .
Drag the points below to create the inverse of the function.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

$g\left(f\left(2\right)\right)$

Find the inverse of $f\left(x\right)=3x+2$

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?