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Current Score : 3 / 38 Due : Thursday, October 19 2017 11:59 PM EDT
1. –/1 pointsLarATRMRP7 1.4.062.
Sketch the graph of the piecewise-defined function.
2. 1/1 points | Previous AnswersLarATRMRP7 1.4.068.
Use a graphing utility to graph the function and determine whether it is even, odd, or neither.
HW Sec 1.4-2 (Homework)
Janean Owens MTH-151, section 90, Fall 2017 Instructor: Mushtaq Khan
WebAssign
h(x) = 5 + x if x < 0 x2 + 3 if x ≥ 0
f(x) = −x2 − 4
The function is even.
The function is odd.
The function is neither even nor odd.
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3. 1/1 points | Previous AnswersLarATRMRP7 1.4.070.
Use a graphing utility to graph the function and determine whether it is even, odd, or neither.
4. 1/1 points | Previous AnswersLarATRMRP7 1.4.072.
Use a graphing utility to graph the function and determine whether it is even, odd, or neither. (Use only inclusive endpoints in your graph.)
5. –/4 pointsLarATRMRP7 1.4.074.MI.SA.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Consider the following.
Exercise (a) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. Exercise (b) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.
g(t) = t − 43
The function is even.
The function is odd.
The function is neither even nor odd.
f(x) = −|x − 2|
The function is even.
The function is odd.
The function is neither even nor odd.
− , −24 5
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10/18/2017 HW Sec 1.4-2
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6. –/4 pointsLarATRMRP7 1.4.076.
Consider the following.
(2, −8)
(a) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. (x, y) = ( , ) (b) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (x, y) = ( , )
javascript:Symbolic_Hint()
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7. –/7 pointsLarATRMRP7 1.4.080.
Determine whether the function is even, odd, or neither algebraically, graphically by using a graphing utility to graph the function, and numerically by using the table feature of the graphing utility to compare f(x) and f(−x) for several values of x.
(a) algebraically f(−x) = f(x)
f(−x) = −f(x)
neither of these
(b) graphically
(c) numerically (If the answer is not a number, enter NAN.)
=
=
=
=
Determine whether the function is even, odd, or neither. The function is even.
The function is odd.
The function is neither even nor odd.
f(x) = x4 − 2x2 + 4
f(3)
f(−3)
f(9)
f(−9)
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8. –/2 pointsLarATRMRP7 1.4.090.
Graph the function and determine the interval(s) for which
Interval(s) for which f(x) ≥ 0: (Enter your answer using interval notation.)
9. –/1 pointsLarATRMRP7 1.4.098.
Determine whether the statement is true or false.
It is possible for an odd function to have the interval [0, ∞) as its domain. True
False
f(x) ≥ 0.
f(x) = x2 − 4x
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10.–/8 pointsLarATRMRP7 1.4.110.
Half of the graph of an odd function is shown.
(a) Sketch a complete graph of the function.
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(b) Find the domain and range of the function. (Enter your answers using interval notation.)
(c) Identify the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE. Assume all critical points occur at integer values.)
increasing
decreasing
constant
(d) Find any relative minimum and relative maximum values of the function. (If an answer does not exist, enter DNE. Assume all
domain
range
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critical values occur at integer values.)
relative minimum (x, y) =
relative maximum (x, y) =
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11.–/4 pointsLarATRMRP7 1.4.502.XP.
Consider the following.
(a) Use a graphing utility to graph the function.
(b) Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
increasing
decreasing
constant
f(x) = 3 − x
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12.–/1 pointsLarATRMRP7 1.4.504.XP.
Sketch the graph of the piecewise-defined function.
f(x) = {(x + 4 text(, ) x <= -3, 2x - 2 text(, ) x>-3)
10/18/2017 HW Sec 1.4-2
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13.–/1 pointsLarATRMRP7 1.4.505.XP.
Sketch the graph of the piecewise-defined function.
f(x) = {(x + 8 text(, ) x <= -3, -6 text(, ) -3 < x < 1, 5x - 3 text(, ) x>=1)
14.–/1 pointsLarATRMRP7 1.4.506.XP.
Use a graphing utility to graph the function and determine whether it is even, odd, or neither.
The function is even.
The function is odd.
The function is neither even nor odd.
f(x) = 5 − 3x
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15.–/1 pointsLarATRMRP7 1.4.VE.003.
Watch the video below then answer the question.
Even and Odd Functions
View Transcript
Determine from the list the functions that are neither even nor odd. (Select all that apply.)