How do I work with absolute values? 1. Rewrite the absolute value equation as two linear equations....
34
• How do I work with absolute values?
-
Upload
meagan-barton -
Category
Documents
-
view
217 -
download
0
Transcript of How do I work with absolute values? 1. Rewrite the absolute value equation as two linear equations....
• How do I work with absolute values?
1.
Rewrite the absolute value equation as two linear equations.
3x 2 14
2.34x 1
9
3.
Write in words what the absolute value equation means.
4.
x 5 3
3x 9 12
5. 4x 1 5
6.
Solve each absolute value equation.
7.
x 11 17
2 3x 8
8.
Solve each absolute value equation.
8x 1 23
Solve each absolute value equation.
9. 25 5 4x 3
10.
Solve each absolute value equation.
17 3 2x 7 4
Solve each absolute value equation.
11.25
3x 4 15 7
12.
Rewrite the absolute value inequality as a compound inequality.
13.
x 3 9
2x 5 8
14.
Write in words what the absolute value inequality means.
15.
16.
x 7 3
2x 8 10
3x 1 5
17.
Solve each absolute value inequality and graph the solution on a number line.
x 9 4
18.
Solve each absolute value inequality and graph the solution on a number line.
3 2x 11
19.
Solve each absolute value inequality and graph the solution on a number line.
7x 2 16
20.
Solve each absolute value inequality and graph the solution on a number line.
2 3x 2 11 7
21.
Solve each absolute value inequality and graph the solution on a number line.
5x 2 7 4
22.
For the function (a) Tell whether it opens up/down, (b) Identify the vertex, and (c) whether the function is wider, narrower, or the same width as the graph of y = |x|.
a. _____________________
b. _____________________
c. _____________________
y 3 x 1 8
23.
a. _____________________
b. _____________________
c. _____________________
y 13x 7 2
24.
Graph each absolute value function. Then answer each of the following:a. Identify the vertex b. any reflections c. vert. stretch/shrink (s.f.) d. vert/horiz. shift e. inc/dec f. y-intercept g. zeros
f x x 5 1
a._______________________________
b._______________________________
c._______________________________
d._______________________________
e._______________________________
f._______________________________
g._______________________________
25.
Graph each absolute value function. Then answer each of the following:a. Identify the vertex b. any reflections c. vert. stretch/shrink (s.f.) d. vert/horiz. shift e. inc/dec f. y-intercept g. zeros
a._______________________________
b._______________________________
c._______________________________
d._______________________________
e._______________________________
f._______________________________
g._______________________________
f x 2 x 3 5
26.
Graph each absolute value function. Then answer each of the following:a. Identify the vertex b. any reflections c. vert. stretch/shrink (s.f.) d. vert/horiz. shift e. inc/dec f. y-intercept g. zeros
a._______________________________
b._______________________________
c._______________________________
d._______________________________
e._______________________________
f._______________________________
g._______________________________
f x 12x 2 4
27.
Evaluate the piecewise function when x = 3, x = 0, x = 2.
f x 2x 4,
3 x,
if x 1
if x 1
28.
Evaluate the piecewise function when x = 3, x = 0, x = 2.
f x 5x 2,
4 2x,
if x 0
if x 0
29.
Evaluate the piecewise function when x = 3, x = 0, x = 2.
f x
2x,
x 3,
5 x,
if x 2
2 x 1
if x 1
30.
Evaluate the piecewise function when x = 3, x = 0, x = 2.
f x
3 4x,
x,
5x 2,
if x 1
1 x 0
if x 0
31.
Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity.
f x x 3,
x 1,
if x 2
if x 2
32.
Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity.
f x 2x 3,
3 x,
if x 3
if x 3
33.
Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity.
f x 12x 3,
2x 2,
if x 2
if x 2
34.
Graph the piecewise function. Find the x-coordinate for which there are points of discontinuity.
f x
x 4,
2,
x 3,
if x 3
if 3 x 1
if x 1
35.
Write a piecewise function for the step function shown.
36.
Write a piecewise function for the step function shown.
37.
Write a piecewise function for the step function shown.
38.
Write the function as a piecewise function.
f x x 5 2
39.
Write the function as a piecewise function.
f x x 2 1
40.
Write the function as a piecewise function.
f x 2 x 5 6
2.Rev Absolute Value
Chapter 2 Review
Worksheet
