HPreCalc Sem 1 Final Exam Review

1

Find the domain of

1

Find the domain of

1

Find the range of

1

Find f∘g, given

1

Find the domain of f∘g, given

1

The following functions are inverses

1

The following functions are inverses

1

The function f(x) is even.

1

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

1

If h(0) = -3, 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: 5 and -7i.

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 caesium-137 is 30 years. If an estimated 500 grams was deposited via the atmosphere in 1986 during the Chernobly explosion, how much is still present today in Germany? (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).

Reflection over the y-axis.
Translation right 2 units.
Reflection over the x-axis.
Translation down 1 unit.

1

Find f - g.

1

All cubic functions are bounded either above or below.

1

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

1

All rational functions have removable discontinuity.

1

A quadratic function must have at least one real zero.

1

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

1.5

Convert the angle in degrees to DMS (degrees, minutes, seconds): 

Degrees: _______ 
Minutes: _______
Seconds: _______ 

1

Convert the degrees to radians:

1

Convert radians to degrees:

1

Evaluate. Exact answer only. No decimal estimations.

1

Evaluate. Exact answer only. No decimal estimation.

1

Evaluate. Exact answer only. No decimal estimation.

1

Evaluate. Exact answer only. No decimal estimation.

1

Evaluate. Exact answer only. No decimal estimation.

1

Evaluate. Exact answer only. No decimal estimation.

1

Which angles are coterminal with

1

Which angles are coterminal with

1

A 12 inch-diameter pizza was cut into 8 equal pieces. What is the arc length of one piece of pizza? Round your answer to the nearest tenth.

1

A car traveling 38 mph has tires with a diameter of 26.5 inches. How fast are the car's tires turning in revolutions per minute. If needed, round to the 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 cos𝜃.

1

A building is casting a 60 foot shadow with the sun at an angle of elevation of 45 degrees from the top of the building. What is the height of the building?

Part 2- #42 - 54 Scientific Calculator Only

1

Determine the zero(s) of f(x).

1

Determine the limit of f(x) as x approaches negative infinity.

1

Determine the limit of f(x) as x approaches infinity.

1

Graph the function f(x). Identify any local extrema by labeling them as a local max. or local min.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

1

Identify any interval(s) of increasing in interval notation.

1

Identify any interval(s) of decreasing in interval notation.

1

Determine the x-intercept(s) fo the graph of the f(x).

1

State the end behavior asymptote of f(x).

1

State the end behavior asymptote of f(x).

1

State the end behavior asymptote of f(x).

1

Graph the rational function and any asymptotes of f(x) as dashed lines. Graph and label any existing holes as open points or any intercepts as solid points.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

1

Evaluate the logarithmic expression.

1

State the parent function and list the transformations in the order they occur. Graph any horizontal or vertical asymptotes as dashed line. State the x or y - intercepts and label the point.

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Find the domain of

Find the domain of

Find the range of

Find f∘g, given

Find the domain of f∘g, given

The following functions are inverses

The following functions are inverses

The function f(x) is even.

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

If h(0) = -3, 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: 5 and -7i.

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 caesium-137 is 30 years. If an estimated 500 grams was deposited via the atmosphere in 1986 during the Chernobly explosion, how much is still present today in Germany? (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 cubic functions are bounded either above or below.

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

All rational functions have removable discontinuity.

A quadratic function must have at least one real zero.

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

Convert the degrees to radians:

Convert radians to degrees:

Evaluate. Exact answer only. No decimal estimations.

Evaluate. Exact answer only. No decimal estimation.

Evaluate. Exact answer only. No decimal estimation.

Evaluate. Exact answer only. No decimal estimation.

Evaluate. Exact answer only. No decimal estimation.

Evaluate. Exact answer only. No decimal estimation.

Which angles are coterminal with

Which angles are coterminal with

A 12 inch-diameter pizza was cut into 8 equal pieces. What is the arc length of one piece of pizza? Round your answer to the nearest tenth.

A car traveling 38 mph has tires with a diameter of 26.5 inches. How fast are the car's tires turning in revolutions per minute. If needed, round to the 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 cos𝜃.

A building is casting a 60 foot shadow with the sun at an angle of elevation of 45 degrees from the top of the building. What is the height of the building?

Determine the zero(s) of f(x).

Determine the limit of f(x) as x approaches negative infinity.

Determine the limit of f(x) as x approaches infinity.

Graph the function f(x). Identify any local extrema by labeling them as a local max. or local min.

Identify any interval(s) of increasing in interval notation.

Identify any interval(s) of decreasing in interval notation.

Determine the x-intercept(s) fo the graph of the f(x).

State the end behavior asymptote of f(x).

State the end behavior asymptote of f(x).

State the end behavior asymptote of f(x).

Graph the rational function and any asymptotes of f(x) as dashed lines. Graph and label any existing holes as open points or any intercepts as solid points.

Evaluate the logarithmic expression.

State the parent function and list the transformations in the order they occur. Graph any horizontal or vertical asymptotes as dashed line. State the x or y - intercepts and label the point.

Given:
Find the cos𝜃.