Question 1

Given the right triangle in the first image, what is the length of side $$a to $$the nearest tenth of an inch?

Accepted Answer

$$a \approx 29.4$$ inches

Question 2

In the second triangle, what is the exact length of side $$a$$?

Accepted Answer

$$a = 6\sqrt{3}$$

Question 3

The graph in the third image most likely represents which type of function?

Accepted Answer

An exponential function

Question 4

Based on the fourth image, which of the following best describes the behavior of $$W as a $$function of $$n$$?

Accepted Answer

It is a periodic function with a decreasing trend.

Question 5

Which of the following is the implied domain of the function shown in the fifth image?

Accepted Answer

$$(−4,1] \cup [−\frac{1}{2}, \frac{1}{2}] \cup (1,3)$$

Question 6

Which of the following statements is true about the function shown in the sixth image?

Accepted Answer

The equation $$a = f(x)$$ has four solutions for some values of $$a in $$the interval $$[−50,100].$$

Question 7

What is the period of the function shown in the seventh image?

Accepted Answer

Period is $$4$$

Question 8

Which of the following graphs (from images 8, 9, and 10) represents a function with a constant average rate of change on the interval $$-1 \leq x \leq 2$$?

Accepted Answer

Image 8

Question 9

The circle in image 11 shows an angle $$	heta in $$standard position. If the radius is $$r$$ and the arc length is $$s$$, which formula relates $$	heta$$, $$r$$, and $$s$$?

Accepted Answer

$$	heta = \frac{s}{r}$$

Question 10

Based on the tables in image 12, what is the real-world meaning of $$g(f(4))$$?

Accepted Answer

$$g(f(4))$$ has no real-world meaning

Question 11

The graph in image 13 is a parabola. Which of the following best describes its range?

Accepted Answer

$$(-\infty, 1]$$

Question 12

In the teeter-totter scenario shown in image 14, if the slope $$m = 2.8$$, which trigonometric function equals $$2.8$$?

Accepted Answer

$$	an(	heta) = 2.8$$

Question 13

Estrella rides a Ferris wheel with a radius of $$30$$ feet and travels $$4.2$$ radians. What is the distance she traveled?

Accepted Answer

Approximately $$126$$ feet

Question 14

What is the area of the semicircular window in image 16 if the base is $$6$$ feet wide?

Accepted Answer

Exactly $$90\pi$$ square feet

Question 15

In the triangle shown in image 17, if the lighthouse is $$10$$ miles north of the Crab Shack and the angle at the Crab Shack is $$39.5^\circ$$, how far is the ship from the lighthouse (to the nearest tenth of a mile)?

Accepted Answer

Approximately $$15.7$$ miles

Precalculus Final Exam Review – Step-by-Step Guidance

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