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Domain and Range Answers — TX-Algebra II A

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Given f(x) = 15x + 35, what is the domain of f?

Option

x > 15

x > 35

all real numbers

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What is the range of f?

Option

y > 15

y > 35

all real numbers

Use the graph to determine the domain and range of the piecewise defined function.Domain:

Option

Range:

Option

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

x > –4

x < – 4

all real numbers

What is the range?

y > – 4

y < – 4

all real numbers

Given , what is the domain?

Option

all real numbers

What is the range?

Option

all real numbers

Choose the function that has domain [image 1] and range [image 2] .

Option

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

Option

all real numbers

What is the range of f?

Option

all real numbers

Question text not available

Answers:

Selection 1:all real numbers

Selection 2:y > –2

Use the graph to determine the domain and range of the exponential function.Domain: ✔ all real numbers0 2x < 2

Answers:

Selection 1:all real numbers

Selection 2:y > –2

Range: all real numbers0 –2y < –2

all real numbers

0 < y

✔ y > –2

y < –2

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.

Which of the following did you include in your response?

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.

Find the vertex of the parabola at(10.14, 164.5).

Since the parabola opens up, the range is .

The function h(t) = -4.9t² + 19.6t is used to model the height of an object projected in the air where h(t) is the height (in meters) and t is the time (in seconds). What is the domain and range?Domain:

Option