This is a Pre-Calculus test I just took and did do so well so I hope the answer I got helps and the ones I got help you narrow down the correct answers
Determine whether f has an inverse function. If it does, find the inverse function and state any restrictions on its domain.
f(x) =
Question options:
f–1(x) =
f–1(x) =
f–1(x) = ; x ≠ 1
f–1(x) = ; x ≠ –4
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Question 2 5 / 5 points
Without graphing, describe the end behavior of the graph of the function.
Question options:
As x → ∞, f (x) → −∞.
As x → −∞, f (x) → ∞.
As x → ∞, f (x) → −∞.
As x → −∞, f (x) → −∞.
As x → ∞, f (x) → ∞.
As x → −∞, f (x) → −∞.
As x → ∞, f (x) → ∞.
As x → −∞, f (x) → ∞.
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Question 3 5 / 5 points
Use the graph below to identify the y-intercept and zeros.
Question options:
y-intercept: 9
zeros: 1, –1
y-intercept: –9
zeros: 1, –1
y-intercepts:1, –1
zero: 9
y-intercept: 9
zeros: No zeros
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Question 4 5 / 5 points
Find (f + g)(x) and (f g)(x) for f(x) = 6x2 + 5 and g(x) = 7 – 5x.
Question options:
(f + g)(x) = 6x2 – 5x + 12
(f g)(x) = 6x2 + 5x – 2
(f + g)(x) = 6x2 + 0x + 7
(f g)(x) = 6x2 + 10x – 7
(f + g)(x) = 6x2 + 5x – 2
(f g)(x) = 6x2 – 5x + 12
(f + g)(x) = 6x2 + 5x – 12
(f g)(x) = 6x2 – 5x – 2
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Question 5 0 / 5 points
Find f(t – 3) for f(x) = 4x2 – 8x + 4.
Question options:
4t2 – 32t + 64
64
4t2 – 32t – 64
4t2 + 32t + 64
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Question 6 5 / 5 points
The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?
Question options:
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Question 7 0 / 5 points
Use the graph of f(x) to estimate f(3).
Question options:
f(3) = –9
f(3) = –8
f(3) = 8
f(3) = –7
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Question 8 5 / 5 points
Determine between which consecutive integers the real zeros of are located on the interval [–10, 10]. If the zero occurs at an integer, write the integer.
Question options:
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Question 9 5 / 5 points
Given f(x) = x2 – 3 and g(x) = . Find (g ° f)(4).
Question options:
6
–6
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Question 10 0 / 5 points
Which statement is true for the graph of f(x) = 2x3 – 6x2 – 48x + 24?
Question options:
(4, –140) is a relative minimum; (–2, 77) is a relative maximum
(4, –136) is a relative minimum; (–2, 80) is a relative maximum
(–2, 80) is a relative minimum; (4, –136) is a relative maximum
(–2, 77) is a relative minimum; (4, –140) is a relative maximum
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Question 11 0 / 5 points
Describe the end behavior of the graph.
Question options:
f(x) as x and f(x) as x +
f(x) as x and f(x) as x +
f(x) as x and f(x) as x +
f(x) as x and f(x) as x +
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Question 12 5 / 5 points
Find (f g)(x) and (f g)(x) for f(x) = 15x2 + 19x + 6 and g(x) = 5x + 3.
Question options:
(f g)(x) = 3x + 2
(f g)(x) = 75x3 + 140x2 + 87x + 18
(f g)(x) = 75x3 + 140x2 + 87x + 18
(f g)(x) = 3x + 2
(f g)(x) = 75x3 + 57x2 + 18x + 18
(f g)(x) = 3x + 2
(f g)(x) = 3x + 2
(f g)(x) = 75x3 + 57x2 + 18x + 18
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Question 13 0 / 5 points
For which interval(s) is the function increasing and decreasing?
Question options:
increasing for and ; decreasing for and
increasing for x > 0; decreasing for x < 0
increasing for and ; decreasing for and
increasing for and ; decreasing for and
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Question 14 5 / 5 points
Determine the domain of the function
Question options:
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Question 15 0 / 5 points
Estimate and classify the critical points for the graph of each function.
Question options:
(0.5, 7), minimum; (2, 1), point of inflection; (3.5, –5), maximum
(0.5, 7), maximum; (2, 1), point of inflection; (3.5, –5), minimum
(0.5, 7), maximum; (3.5, –5), minimum
no critical points
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Question 16 5 / 5 points
Describe the set of numbers using interval notation.
x > 8 or x ≤ 2
Question options:
[2, 8)
(–∞, 2] ∩ (8, ∞)
(–∞, 2] ∪ (8, ∞)
(–∞, 2) ∪ (8, ∞)
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Question 17 0 / 5 points
State whether the graph of has infinite discontinuity, jump discontinuity, point discontinuity, or is continuous.
Question options:
The function has point discontinuity.
The function has jump discontinuity.
The function has infinite discontinuity.
The function is continuous.
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Question 18 5 / 5 points
Use symmetry to graph the inverse of the function.
Question options:
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Question 19 5 / 5 points
Given find Then state whether is a function.
Question options:
is a function.
is not a function.
is not a function.
is a function.
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Question 20 0 / 5 points
Use the graph below to find the domain and range.
Question options:
D: (–9, –1), (0, 4)
R: (–6, 8.6)
D: (–9, 4]
R: (–6, 8.6]
D: (–9, –1], (0, 4]
R: (–6, 8.6]
D: [–9, –1], [0, 4]
R: [–6, 8.6]
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