Algebra 2 6-7 Mixed Review: Inverse Relations and Functions
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Last updated about 3 years ago
5 questions
8 points
8
Question 1
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(h(x))
(f \circ g)(x)
f(x)-h(x)
-\frac{3}{2}x+11
6x-4
2x+28
-8x+16
10 points
10
Question 2
2.
Review Lesson 6-1: Find each real root.
\sqrt[4]{-16}
\sqrt[5]{243}
-\sqrt[4]{16}
3
-2
No real roots
10 points
10
Question 3
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.
Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
8 points
8
Question 4
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 __?__.
10 points
10
Question 5
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.
