HPreCalc Sem 2 Final Exam A

6

Match the exact value of each function.

Draggable item		Corresponding Item

Not answer for any of the functions.


Not answer for any of the functions.

1

State the amplitude for the function:

1

State the period for the function:

1

State the frequency for the function:

1

State the phase shift for the function:

1

State the vertical shift for the function:

4

Graph the parent function for f(x) and the transformations for the function in the correct order. Graph the midline for any vertical shift and the asymptotes for one period as dashed lines.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

4

Graph the parent function for f(x) and the transformations for the function in the correct order. Graph the midline for any vertical shift and the asymptotes for one period as dashed lines.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

1

Solve for x with x ∈ [0, 2𝜋)

2

Solve for x with x ∈ [0, 2𝜋)

1

Solve for x for all real solutions. Let k = the set of all integers.

2

Solve for x for all real solutions. Let k = the set of all integers.

2

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

2

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

1

Given:
Find the exact value of:

1

Given:
Find the exact value of:

1

Given:
Find the exact value of:

1

Find the exact value of:

2

Simplify down one expression or value. Show all steps for full credit.

4

Using the Law of Sines, determine how many solutions exist for the given information.

Draggable item		Corresponding Item
		2 Triangles Exist
		No Triangle Exists
		1 Triangle Exists
		1 Triangle Exists

3

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

1

What is the area of a triangle with sides measures: 24, 52, and 39? Round to two decimal places.

2

Expand the binomial (5x - 3y)4 .
Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

1

Simplify:
Note: Report your answer in factored form.

1

What is the 12th term of the following sequence:

1

What is the 15th term of the following sequence:

4

Match limit to the correct value or state the limit is nonexistent.

Draggable item		Corresponding Item



		Nonexistent

1

What is the sum for the expression:

1

Find the 15th partial sum of the following sequence:

1

Express the finite series using sigma notation.
Note: use k as the index of the summation.

1

The following series is divergent.

1

The following series is divergent.

1

Use the ratio test to find r. Determine if the series is divergent or convergent:

1

Using the formal definition, find the derivative, f'(x), for the following function:

1

Write the equation of the tanget line at (-1, 3) for the following function in slope-intercept form (y= mx+b):

1

Use the limit process to find the area bounded by the function and the x-axis on the given interval.

4

Use the following graph of the function h(x) below to match the limit of the function as stated.

Draggable item		Corresponding Item
h(3) =		1
		-2
h(-1) =		Does not exist
		1
		2
		3
		Does not exist
		2

Match the exact value of each function.

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

State the phase shift for the function:

State the vertical shift for the function:

Graph the parent function for f(x) and the transformations for the function in the correct order. Graph the midline for any vertical shift and the asymptotes for one period as dashed lines.

Graph the parent function for f(x) and the transformations for the function in the correct order. Graph the midline for any vertical shift and the asymptotes for one period as dashed lines.

Solve for x with x ∈ [0, 2𝜋)

Solve for x with x ∈ [0, 2𝜋)

Solve for x for all real solutions. Let k = the set of all integers.

Solve for x for all real solutions. Let k = the set of all integers.

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

Given:Find the exact value of:

Given:Find the exact value of:

Given:Find the exact value of:

Find the exact value of:

Simplify down one expression or value. Show all steps for full credit.

Using the Law of Sines, determine how many solutions exist for the given information.

Given:Determine the following measures, if possible:Note: Round to the nearest tenth of a degree.

What is the area of a triangle with sides measures: 24, 52, and 39? Round to two decimal places.

Expand the binomial (5x - 3y)4 .Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

Simplify: Note: Report your answer in factored form.

What is the 12th term of the following sequence:

What is the 15th term of the following sequence:

Match limit to the correct value or state the limit is nonexistent.

What is the sum for the expression:

Find the 15th partial sum of the following sequence:

Express the finite series using sigma notation.Note: use k as the index of the summation.

The following series is divergent.

The following series is divergent.

Use the ratio test to find r. Determine if the series is divergent or convergent:

Using the formal definition, find the derivative, f'(x), for the following function:

Write the equation of the tanget line at (-1, 3) for the following function in slope-intercept form (y= mx+b):

Use the limit process to find the area bounded by the function and the x-axis on the given interval.

Use the following graph of the function h(x) below to match the limit of the function as stated.

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

Expand the binomial (5x - 3y)4 .
Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

Simplify:
Note: Report your answer in factored form.

Express the finite series using sigma notation.
Note: use k as the index of the summation.