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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
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