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Algebra 2 6-7 Mixed Review: Inverse Relations and Functions

Last updated over 3 years ago

5 Nsɛmmisa

8

F.BF.1.b

F.BF.1.c

10

N.RN.2

10

8

F.IF.1

10

Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Review Lesson 6-6: For the given functions f, g, and h, match each function operation and composition on the left with the equivalent simplified expression on the right.

g(x)+h(x)
f(x)-h(x)
f(h(x))
(f \circ g)(x)

-\frac{3}{2}x+11
6x-4
2x+28
-8x+16

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Review Lesson 6-1: Find each real root.

-\sqrt[4]{16}
\sqrt[4]{-16}
\sqrt[5]{243}

3
-2
No real roots

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Review Lesson 4-1: Graph the functions on the same plane.
Graph 1: -x^{2}-1
Graph 2: -(x+1)^{2}+1
Graph 3: 3x^{2}+2
Note how the functions are transformations of the parent quadratic function y = x2.
Zoom and pan your graph to establish an appropriate viewing window.

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

Vocabulary Review: Fill in each blank on the right with the appropriate item from the left.
Consider the relation below for some items.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

y
x

The domain of a relation is the set of inputs, also called the __?__-coordinates of the ordered pair.
The range of a relation is the set of inputs, also called the __?__-coordinates of the ordered pair.
The domain of the relation above is __?__.
The range of the relation above is __?__.

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

Use Your Vocabulary: Categorize the domains and ranges on the left.
Use the relation r, as defined here.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

\left\{1,3\right\}
\left\{0,2,4,8\right\}

Domain of r
Range of r
Domain of the inverse of r
Range of the inverse of r