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HPreCalc Sem 1 Final Exam Part 1 2022

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Last updated over 1 year ago
30 questions
Part 1 - Graphing Calculator Allowed
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Please turn in part 1 with your graphing calculator before starting part 2.
Question 1
1.

Find the domain of

Question 2
2.

Find the range of

Question 3
3.

Find f∘g, given

Question 4
4.

The following functions are inverses

Question 5
5.

The function f(x) is odd.

Question 6
6.

Choose the values that could be potential rational zeros of f(x).

Question 7
7.

If h(1) = 0, then find the other two zeros of h(x). Exact values only (no decimal estimates).

Question 8
8.

Write the equation of a function f(x) in standard form with a degree of 3 and zeros: -3 and -5i.

Question 9
9.

Determine the value(s) of x in the equation.

Question 10
10.

Solve for x. Exact value only.

Question 11
11.

Solve for x. No extraneous solutions.

Question 12
12.

Expand the logrithmic expression.

Question 13
13.

The half-life of silicon-32 is 710 years. If 40 grams are present now, how many will be present in 500 years? (Round your answer to the nearest thousandth)

Question 14
14.

Rewrite the function as a product of linear factors.

Question 15
15.

Determine the transformations that would map f(x) onto g(x).

Question 16
16.

Determine the correct order of transformations that would map f(x) onto g(x).


  1. Translation right 4 units.
  2. Reflection over the y-axis.
  3. Translation down 5 units.
  4. Vertical shrink by half.
Question 17
17.

Find f - g.


Question 18
18.

All quadratic functions have a lower bound.

Question 19
19.

The following function f(x) is increasing on its entire domain.

Question 20
20.

All rational functions have infinite discontinuity.

Question 21
21.

A cubic function must have at least one real zero.

Question 22
22.

Convert the angle to a decimal in degrees and round to the nearest thousandth:

Question 23
23.

Convert radians to degrees:

Question 24
24.

Evaluate. Exact Answer only. No decimal estimations.

Question 25
25.

Which angles are coterminal with

Question 26
26.

A 8 inch-diameter pie was cut into 6 equal pieces. What is the arc length of one piece of pie? Round your answer to the nearest tenth.

Question 27
27.

A car traveling 38 mph has tires with a diameter of 28 inches. How fast are the car's tires turning in revolutions per minute. If needed, round to nearest revolution per min.

Question 28
28.

A point on the terminal side of an angle θ is given. Find the exact value of the indicated trigonometric function of θ.

Question 29
29.

Given:

Find the cot θ.

Question 30
30.

A tree is castining a 25 foot shadow with the sun at an angle of elevation of 45 degrees from the top of the tree. What is the height of the tree?