Question 1

Which of the following best describes a function?

Accepted Answer

A relationship that assigns to each member of the domain exactly one member of the range.

Question 2

Given the function $$y = 0.05x$$ models the blood alcohol percent for a 90-pound woman, what is the blood alcohol percent after consuming 7 drinks?

Accepted Answer

$$0.35$$

Question 3

If $$f(x) = 2x^3$ + 5x^2$ - 28x - 15$$, what is $$f(-2)$$?

Accepted Answer

$$-1$$

Question 4

A couple can afford $$800 per month for a mortgage. According to the table, if they finance 89$$,000$, how many years will it take to pay off the mortgage?

Accepted Answer

$$15$$

Question 5

The value of the medical 3D printing market is modeled by $$V(t) = 3.77t^2$ + 24.4t + 105.6$$, where $$t is $$the number of years after 2010. What value of $$t$$ represents the year 2025?

Accepted Answer

$$15$$

Question 6

Using the model $$y = 0.05x$$, estimate the blood alcohol percent for a 90-pound woman who has consumed $$1.5$$ drinks.

Accepted Answer

$$0.075$$

Question 7

Why is it reasonable to use $$x \geq 0 as $$the domain for the function $$y = 0.05x$$ modeling blood alcohol percent?

Accepted Answer

Because a person cannot consume a negative number of drinks.

Question 8

If $$V(t) = 3.77t^2$ + 24.4t + 105.6$$, what is the projected value of the medical 3D printing market in 2025?

Accepted Answer

$$1,088.1$$ million

Question 9

Given the table for mortgage payments, what is $$f(120,000)$$?

Accepted Answer

$$30$$

Question 10

Suppose a child’s normal temperature is $$98.6^{\circ}F$ and the thermometer available reads 37$$^{\circ}$$C. Is $$this reading normal?

Accepted Answer

Yes, because $$37^{\circ}C$ is equivalent to 98.6$$^{\circ}$$F.$$

Question 11

If $$f(x) = 2x^3$ + 5x^2$ - 28x - 15$$, what is $$f(4)$$?

Accepted Answer

$$9$$

Question 12

Which of the following is NOT a valid way to define a function?

Accepted Answer

By assigning multiple outputs to a single input.

Question 13

If $$f(40,000) = 5$$, what does this mean in the context of the mortgage table?

Accepted Answer

It will take 5 years to pay off a $$40,000$$ mortgage at $$7.5\%$$ interest with $$800$$ monthly payments.

Question 14

If $$f(103,000) = 20$$, what does this mean in the context of the mortgage table?

Accepted Answer

It will take 20 years to pay off a $$103,000$$ mortgage at $$7.5\%$$ interest with $$800$$ monthly payments.

Question 15

If $$f(3 \cdot 40,000) = 3 \cdot f(40,000)$$, does this relationship hold for the mortgage table?

Accepted Answer

No, because the relationship between amount and years is not linear.

Question 16

Which of the following best explains why the function $$y = 0.05x is a $$model for the blood alcohol data in Table 1.3?

Accepted Answer

Because the equation fits all the data points in the table.

Functions and Models: Foundations of College Algebra

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