HPreCalc Sem 1 Final Exam Part 1 2022

Last updated almost 2 years ago

30 questions

Part 1 - Graphing Calculator Allowed

1

Please turn in part 1 with your graphing calculator before starting part 2.

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HPreCalc Sem 1 Final Exam Part 1 2022

Last updated almost 2 years ago

30 questions

Part 1 - Graphing Calculator Allowed

1

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

1

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

1

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

1

Solve for x. No extraneous solutions.

1

Expand the logrithmic expression.

1

Rewrite the function as a product of linear factors.

1

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

1

Convert radians to degrees:

1

Evaluate. Exact Answer only. No decimal estimations.

1

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

1

Given:

Find the cot θ.

1

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?

Please turn in part 1 with your graphing calculator before starting part 2.

Find the domain of

Find the range of

Find f∘g, given

The following functions are inverses

True

False

The function f(x) is odd.

True

False

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

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

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

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

Solve for x. Exact value only.

Solve for x. No extraneous solutions.

Expand the logrithmic expression.

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)

14.085 grams

24.551 grams

28.169 grams

25.245 grams

Rewrite the function as a product of linear factors.

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

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

Reflection over the y-axis.
Vertical shrink by half.
Translation down 5 units.
Translation right 4 units.

Find f - g.

All quadratic functions have a lower bound.

True

False

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

True

False

All rational functions have infinite discontinuity.

True

False

A cubic function must have at least one real zero.

True

False

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

Convert radians to degrees:

Evaluate. Exact Answer only. No decimal estimations.

Which angles are coterminal with

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.

5

4.8

8.4

4.2

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.

456 rev/min

631 rev/min

1433 rev/min

912 rev/min

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

Given:

Find the cot θ.

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?

Find the domain of 

[-2, 2]

(-inf, -2) U (2, inf)

(-inf, inf)

[2, inf)

(-inf, -2] U [2, inf)

Find the range of 

(-inf, 1)

(1, inf)

(-inf, inf)

[1, inf)

(-inf, 1]

Find f∘g, given 

The following functions are inverses 

True

False

The function f(x) is odd.

True

False

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

0

+/- 3

+/- 6

+/- 2

+/- 1

+/- 0.5

Solve for x.  Exact value only.

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)

14.085 grams

24.551 grams

28.169 grams

25.245 grams

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

reflection over the y-axis

horizontal shrink by half

vertical shrink by half

reflection over the x-axis

translation right 5

translation left 5

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

Reflection over the y-axis.

Vertical shrink by half.

Translation down 5 units.

Translation right 4 units.

Find f - g.

All quadratic functions have a lower bound.

True

False

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

True

False

All rational functions have infinite discontinuity.

True

False

A cubic function must have at least one real zero.

True

False

Which angles are coterminal with 

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.

5

4.8

8.4

4.2

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.

456 rev/min

631 rev/min

1433 rev/min

912 rev/min

HPreCalc Sem 1 Final Exam Part 1 2022

HPreCalc Sem 1 Final Exam Part 1 2022

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

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

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

Solve for x. No extraneous solutions.

Expand the logrithmic expression.

Rewrite the function as a product of linear factors.

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

Convert radians to degrees:

Evaluate. Exact Answer only. No decimal estimations.

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

Given: Find the cot θ.

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?

Find the domain of

Find the range of

Find f∘g, given

The following functions are inverses

The function f(x) is odd.

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

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

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

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

Solve for x. Exact value only.

Solve for x. No extraneous solutions.

Expand the logrithmic expression.

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)

Rewrite the function as a product of linear factors.

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

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

Find f - g.

All quadratic functions have a lower bound.

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

All rational functions have infinite discontinuity.

A cubic function must have at least one real zero.

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

Convert radians to degrees:

Evaluate. Exact Answer only. No decimal estimations.

Which angles are coterminal with

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.

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.

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

Given: Find the cot θ.

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?

Given:

Find the cot θ.

Given:

Find the cot θ.