AnswersFL-1200330-Algebra 2Modeling with Functions

Modeling with Functions — Cumulative exam Answers

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1
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Which equation has x = 4 as the solution?

A
log Subscript 4 Baseline (3 x + 4) = 2
Option A
B
log Subscript 3 Baseline (2 x minus 5) = 2
Option B
C
log Subscript x Baseline 64 = 4
Option C
D
log Subscript x Baseline 16 = 4
Option D
2
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The graph below is an example of which type of function?

Question illustration
q
quadratic
l
linear
c
cubic
s
square root
3

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1.
Option A
B
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1.
Option C
D
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.
Option D
4

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

A
2 units
B
3 units
C
4 units
D
5 units
5

Heron’s formula: Area =

Question illustration
A
square units
Option A
B
square units
Option B
C
square units
Option C
D
square units
Option D
6

A polygon with 3 sides is stacked to form a prism.

Question illustration
A
square
B
trapezoid
C
triangle
D
non-square rectangle
7

Which point does the graph of the parent function pass through?

Question illustration
A
(StartFraction square root of 3 over 3 EndFraction ,StartFraction pi over 3 EndFraction)
Option A
B
(StartFraction pi over 3 EndFraction , StartFraction square root of 3 over 3 EndFraction )
Option B
C
(StartFraction pi over 3 EndFraction , square root of 3)
Option C
D
( square root of 3 , StartFraction pi over 3 EndFraction)
Option D
8

An angle that shares the same sine value of an angle that measures radians is located where?

Question illustration
A
Quadrant I
B
Quadrant II
C
Quadrant IV
D
along an axis
9

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which statement must be true?

A
Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
B
Thanh’s grade is 2.5 points below the mean of the test grades.
C
Thanh’s grade is 2.5 standard deviations above the mean of the test grades.
D
Thanh’s grade is 2.5 points above the mean of the test grades.
10

Which of the following describes the graph of ?

Question illustration
A
The graph has closed circles on the left of each step and open circles on the right and includes the step .
Option A
B
The graph has closed circles on the left of each step and open circles on the right and includes the step .
Option B
C
The graph has open circles on the left of each step and closed circles on the right and includes the step .
Option C
D
The graph has open circles on the left of each step and closed circles on the right and includes the step .
Option D
11

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

Question illustration
A
5 years
B
7 years
C
19 years
D
22 years
12

Complete the steps, which describe how to find the area of the shaded portion of the circle.

Question illustration
A
length of the radius
B
length of the diameter
C
measure of the central angle
D
circumference of the circle
13

Which of the following represents the measures of all angles coterminal with a –220° angle?

A
360 + 140n, for any whole number n
B
360 + 140n, for any integer n
C
140+ 360n, for any whole number n
D
140 + 360n, for any integer n
14

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A
x = –2, x = –4
B
x = –2, x = 4
C
x = 2, x = –4
D
x = 2, x = 4
15

If y is a positive integer, for how many different values of y is a whole number?

Question illustration
A
1
B
2
C
6
D
15
16

The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.230.59100.330.62930.670.74861.000.84131.330.90821.670.95252.000.9772

A
32%
B
37%
C
42%
D
95%
17

What is the range of the function graphed below?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
18

A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).

A
y = 2
B
x = 2
C
y = –2
D
x = –2
19

Which of the following accurately lists all discontinuities of the function below?

Question illustration
A
point discontinuity at x = –2
B
point discontinuity at x = 4; jump discontinuity at x = –2
C
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
D
jump discontinuities at x = –4, x = –2, and x = 4
20

Which formula gives the zeros of y = sin(x)?

A
for any positive integer k
Option A
B
for any integer k
Option B
C
for any positive integer k
Option C
D
for any integer k
Option D

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