Domain and Range Answers

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What is the range of f?

A
Option
Option A
B
y > 15
Option B
C
y > 35
Option C
D
all real numbers
Option D
5

Range:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Given y = log3(x + 4), what is the domain?

A
x > –4
B
x < – 4
C
all real numbers
9

What is the range?

A
y > – 4
B
y < – 4
C
all real numbers
14

Given , what is the domain?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
all real numbers
Option D
15

What is the range?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
all real numbers
Option D
22

Given f(x) = x² - 10x + 22, what is the domain of f?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
all real numbers
Option D
23

What is the range of f?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
all real numbers
Option D
31

Range:

Answer not available
36

The daily production cost, C, for x units is modeled by the equation: C = 200 – 7x + 0.345x2Explain how to find the domain and range of C.

Answer:

Since x represents units produced, the domain is x ≥ 0. The quadratic opens upward and has a minimum at its vertex, approximately (10.14, 164.5), so the range is C ≥ 164.5.

37

Which of the following did you include in your response?

A
This is a quadratic function, which is usually defined on all reals. But, the domain is restricted to because it does not make sense to produce a negative number of units.
Option A
B
Find the vertex of the parabola at(10.14, 164.5).
C
Since the parabola opens up, the range is .
Option C
39

Range:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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