AnswersVA-Mathematical AnalysisStep Functions

Comparing Characteristics of Functions Answers

13 verified answers1 views
1
Free Preview

Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply.f(x) = –(x + 1)2 – 2f(x) = –|x + 4| – 5 f(x) = –|2x| + 3

Question illustration
A
f(x) = –(x + 1)2 – 2
B
f(x) = –|x + 4| – 5
C
Option
D
f(x) = –|2x| + 3
E
Option
145855
Free Preview

Three functions are shown in the table on the left. Complete the sentences comparing the three functions.

Answers:
has the lowest minimum.:h(x)
has/have both x- and y-intercepts.:f(x), g(x), and h(x)
145856

f(x)g(x)h(x)

A
f(x)
B
g(x)
C
h(x)
145857

h(x) f(x) and g(x) f(x), g(x), and h(x)

A
h(x)
B
f(x) and g(x)
C
f(x), g(x), and h(x)
145858

Which function has the smallest x-intercept value, if it exists?

A
f(x) = 3x – 9
B
Option B
Option B
C
Option C
Option C
D
f(x) = x2
145859

Which statements comparing the functions are true? Check all that apply.

A
f(x) and h(x) have x-intercepts.
B
f(x), g(x), and h(x) have y-intercepts.
C
The domain of g(x) includes more values than the domains of f(x) and h(x).
D
The range of g(x) includes more values than the ranges of f(x) and h(x).
E
g(x) has the greatest maximum.
F
h(x) has the lowest minimum.
145860

Which function has the same minimum value as ?

Question illustration
A
f(x) = 3x + 3
B
f(x) = |x| + 3
C
Option
D
f(x) = –x2 + 3
145861

Which function has the greater slope and what does it represent?

A
The in-line skate function has the greater slope, which shows that the cost per hour is greater than that of the bicycles
B
The in-line skate function has the greater slope, which shows that the cost per hour is less than that of the bicycles.
C
The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates.
D
The bicycle function has the greater slope, which shows that the cost per hour is less than that of the in-line skates.
145862

Compare the function given in the graph, f(x), with g(x) = |x| + 3. Which statements comparing the functions are true? Check all that apply.

Question illustration
A
f(x) has two x-intercepts while g(x) has none.
B
f(x) and g(x) have the same y-intercept.
C
The domain of each function is all real numbers.
D
The range of each function is all real numbers greater than or equal to –3.
E
f(x) has the smallest minimum.
145863

Which function has the greatest y-intercept?

A
Option A
B
Option B
C
Option C
D
Option D
145864

Question text not available

Answer not available
145865

Question text not available

Answer not available
145866

f(x) g(x) h(x)

A
f(x)
B
g(x)
C
h(x)

Did you find these answers helpful?

More from this Course

Assignment
24 verified answers

Step Functions

Assignment
14 verified answers

Step Functions

Assignment
14 verified answers

Assignment