HPreCalc Sem 1 Final Exam Part 1 2022

Last updated over 1 year ago
30 questions
Part 1 - Graphing Calculator Allowed
1

Find the domain of

1

Find the range of

1

Find f∘g, given

1

The following functions are inverses

1

The function f(x) is odd.

1

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

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. Exact value only.

1

Solve for x. No extraneous solutions.

1

Expand the logrithmic expression.

1

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)

1

Rewrite the function as a product of linear factors.

1

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

1

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.
1

Find f - g.


1

All quadratic functions have a lower bound.

1

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

1

All rational functions have infinite discontinuity.

1

A cubic function must have at least one real zero.

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

Which angles are coterminal with

1

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.

1

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.

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.