Which of the following best describes how the function $$y=\frac{2}{x+4}-6$$ has been transformed from the parent function $$y=\frac{1}{x}$$ ?

The parent function has been dilated vertically by a factor of 2 and then translated left 4 units and down 6 units.

The parent function has been dilated vertically by a factor of 2.5 and then translated right 4 units and down 6 units.

The parent function has been dilated vertically by a factor of -2 and then translated left 4 units and down 3 units.

The parent function has been dilated vertically by a factor of 2 and then translated right 4 units and down 6 units.

What are the asymptotes for the following function? $$f\left(x\right)=\frac{\left(x+4\right)\left(x-5\right)}{\left(x-5\right)\left(x-3\right)}$$

Horizontal Asymptote: $$y=1$$ Vertical Asymptote: $$x=3$$

Horizontal Asymptote: $$y=1$$ Vertical Asymptote: $$x=-3$$

Horizontal Asymptote: $$y=-3$$ Vertical Asymptote: $$x=1$$

Horizontal Asymptote: $$y=3$$ Vertical Asymptote: $$x=1$$

The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If $$f\left(n\right)$$ is the number of people invited to the fund-raiser $$n$$ years after Eleanor began organizing the event, which of the following statements best describes the function f?

The function f is an increasing exponential function.

The function f is a decreasing linear function.

The function f is an increasing linear function.

The function f is a decreasing exponential function.

Describe the domain, range and asymptote for the function: $$y=\log_2x$$

Domain: $$x>0$$ , Range: all reals, Asymptote: $$x=0$$

Domain: all reals, Range: $$y>0$$ , Asymptote: $$y=0$$

Domain: all reals, Range: $$y\ge0$$ , Asymptote: None

Domain: $$x\ge0$$ , Range: all reals, Asymptote: None

Which of the following best describes how the function $$y=\log_4\left(x-2\right)+3$$ has been transformed from the parent function $$y=\log_4x$$ ?

The parent function has been translated right 2 units and up 3 units.

The parent function has been translated left 2 units and down 3 units.

The parent function has been translated left 2 units and up 3 units.

The parent function has been translated right 2 units and down 3 units.

What is the correct set-up to find the missing side length?

D. $$\frac{x}{\sin 19} = \frac{16}{\sin 52}$$

A. $$\frac{x}{\sin 109} = \frac{16}{\sin 52}$$

B. $$\frac{x}{\sin 19} = \frac{52}{\sin 16}$$

C. $$\frac{x}{\sin 109} = \frac{52}{\sin 16}$$

Which of the following best features of the graph created from the function below? $$y=8\cos\left(x+\frac{\pi}{2}\right)-3$$

Midline $$y=-3$$ , Amplitude $$a=8$$ , Range $$\left[-11,\ 5\right]$$

Midline $$y=-3$$ , Amplitude $$a=8$$ , Range $$\left[-11,\ 8\right]$$

Midline $$y=3$$ , Amplitude $$a=-3$$ , Range $$\left[-11,\ 8\right]$$

Midline $$y=3$$ , Amplitude $$a=-3$$ , Range $$\left[-11,\ 5\right]$$

Algebra 2B Final Exam

Authored by Erin Leugs

Mathematics

11th Grade

CCSS covered

Used 3+ times

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use the finite differences method to determine if the data set can be modeled with a first, second or third degree polynomial.

first degree polynomial

second degree polynomial

third degree polynomial

cannot be determined using finite differences

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the equation of the graph in factored form.

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the lowest possible degree of the polynomial graphed?

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

At what zero is there a multiplicity of 2?

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

As x decreases, y increases. As x increases, y increases.

As x decreases, y increases. As x increases, y decreases.

As x decreases, y decreases. As x increases, y decreases.

As x decreases, y decreases. As x increases, y increases.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.HSA.APR.B.2

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Algebra 2B Final Exam

Use the finite differences method to determine if the data set can be modeled with a first, second or third degree polynomial.

Write the equation of the graph in factored form.

What is the lowest possible degree of the polynomial graphed?

At what zero is there a multiplicity of 2?

Which of the following functions has this end behavior?Left end behavior: As x decreases, y increasesRight end behavior: As x increases, y decreases

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Which of the following functions has this end behavior?
Left end behavior: As x decreases, y increases
Right end behavior: As x increases, y decreases