AnswersTX-Pre-CalculusCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Given find .a.c.b.d.

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A
A
B
B
C
C
D
D
2
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Find

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A
1
B
-8
C
49
D
52
3

Using the unit circle, determine the sine, cosine, and tangent funtions of the angle .a.c.b.d.

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A
B
B
C
C
D
D
4

Find where:a.c.b.d.

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A
B
B
C
C
D
D
5

Find for and state whether or not it is a function.

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A
; function
B
; not a function
C
; function
D
; function
6

Determine the domain of the following function:a.c.b.d.

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A
A
B
B
C
C
D
D
7

Which function is decreasing?

A
Outdoor temperature as a function of time.
B
The Dow Jones Industrial Average as a function of time.
C
Air pressure in the Earth’s atmosphere as a function of altitude.
D
World population since 1900 as a function of time.
8

Use the unit circle to find the value of .a.c.undefinedb.d.

Question illustration
A
A
B
B
C
C
D
D
9

What are the coefficients for the binomial expansion of (a + b)3?

A
1, 4, 6, 4, 1
B
1, 1
C
1, 2, 1
D
1, 3, 3, 1
10

What is rewritten using the power property?

Question illustration
A
e log Subscript 6 Baseline f
Option A
B
f log Subscript 6 Baseline e
Option B
C
log Subscript 6 Baseline (e times f)
Option C
D
log Subscript 6 Baseline (e + f)
Option D
11

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

A
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
B
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
C
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
D
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).
12

Based on the sketch below, how far is Joey’s house from the park?

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A
0.74 mi.
B
0.86 mi.
C
2.21 mi.
D
2.35 mi.
13

Use the unit circle to find the value of .

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Answer not available
14

Henry is asked to find the exact value of . His steps are shown below.1. Subtract from as many times as possible: – = 2. Find the reference angle for : – = .3. The cosine value for is .4. The cosine value is positive because is in the first quadrant.Which of the following describes Henry’s errors?

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A
The reference angle should be , and the sign of the value should be negative.
Option A
B
The reference angle should be , and the cosine value for is .
Option B
C
The sign of the value should be negative, and the reference angle and quadrant should be determined by subtracting in the first step.
Option C
D
The cosine value for is , and the reference angle and quadrant should be determined by subtracting in the first step.
Option D
15

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
16

State whether the fuction is bounded above, bounded below, or bounded. y = 32

A
bounded above
B
bounded below
C
bounded
17

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.

A
x = ±2 and x = ±3
B
x = ±2i and x = ±3
C
x = ±2 and x = ±3i
D
x = ±2i and x = ±3i
18

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

A
100 hours
B
150 hours
C
180 hours
D
200 hours
19

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Question illustration
A
f(x) = x(x – a)2(x – b)4
B
f(x) = x(x – a)3(x – b)2
C
f(x) = x4(x – a)(x – b)2
D
f(x) = x2(x – a)5(x – b)
21

Solve the Law of Cosine: for cos C.

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A
cosine C = StartFraction square of a + square of b minus square of c over 2ab EndFraction
Option A
B
cosine C = StartFraction square of a + square of b + square of c over negative 2ab EndFraction
Option B
C
cosine C = StartFraction square of c minus square of a minus square of b over 2ab EndFraction
Option C
D
cosine C = StartFraction square of negative c + square of a + square of b over negative 2ab EndFraction
Option D

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