Answers25-26 ALG REAS B DLOC – 3054157Unit Test

Unit Test — Unit test Answers

15 verified answers
1
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Consider the function represented in the table.

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(
(–20, 8)
(
(–10, 3)
(
(0, –2)
(
(8, –6)
2
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The table shows two linear functions and the function values for different values of x.

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(
(f ∙ g)(x)
(
(g + f)(x)
(
(f – g)(x)
(
(g – f)(x)
3

The graphs of three functions are shown.

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A
All of the functions have a maximum.
T
The square root and quadratic function share a minimum.
T
The absolute value and quadratic function share a y-intercept.
T
The absolute value and square root function share an x-intercept.
4

Over which interval does the exponential show a more rapid rate of change?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

The area of a trapezoid can be found using the formula , where B(x) is the sum of the bases and h(x) is the height.Which graph could include the functions?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Consider the table of values for .

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

A rectangle has a length represented by the function f(x) and a width represented by g(x).Which statement describes the combined functions P(x) and A(x)?

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A
A(x) is linear, but P(x) is not.
P
P(x) is linear, but A(x) is not.
B
Both P(x) and A(x) are linear.
N
Neither P(x) nor A(x) are linear.
8

Over which interval are the exponential and linear function approximately the same?

Question illustration
f
from 0.25 to 0.5
f
from 0.5 to 0.75
f
from 0.75 to 1.0
f
from 1.25 to 1.5
9

The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers.

T
The limitation for the reasonable range restricts it to positive real numbers.
T
The limitation for the reasonable range restricts it to positive whole numbers.
T
The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.
T
The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.
10

two

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G
Graph B represents h(x).
G
Graph B represents j(x).
T
The y-intercepts of f(x) and g(x) can be –1 and 6.
T
The y-intercepts of f(x) and g(x) are both positive.
T
The rate of change for both f(x) and g(x) must be positive.
11

The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The maximum length of the mirrors is 52 centimeters.

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m
mathematical: reasonable:
Option m
m
mathematical: reasonable:
Option m
m
mathematical: reasonable:
Option m
m
mathematical: reasonable:
Option m
12

What are the domain and range of the function ?

Question illustration
d
domain: all real numbers greater than 1range: all real numbers
d
domain: all real numbersrange: all real numbers greater than 0
d
domain: all real numbersrange: all real numbers greater than 1
d
domain: all real numbers less than 5range: all real numbers greater than 1
13

Consider the function.f(x) = x2 + 3Which answer pairs a possible domain restriction that if placed upon f(x) would impact f–1(x) as shown?

f
f(x) domain: x ≥ 3f–1(x) domain: x ≥ 3
f
f(x) domain: x ≥ 3f–1(x) range: y ≥ 3
f
f(x) domain: x ≥ 0f–1(x) domain: x ≥ 0
f
f(x) domain: x ≥ 0f–1(x) range: y ≥ 0
14

Plan A:

P
Plan A will be worth more than plan B after two years.
P
Plan A will be worth the same amount as plan B after one year.
P
Plan B will be worth more than plan A after three years.
P
Plan B will be worth more than plan A after four years.
15

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

Question illustration
a
add 12
m
multiply by 12
a
add 1, then 12, then 144
m
multiply by 1, then by 12, then by 144

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