Algebra 2 Practice Exam

What is the R²-value of the linear, quadratic, or exponential function that best fits the data? Include at least 4 digits in your response.

Answer explanation

The answer is 0.9998

The vertices of cubic function c(x) are located at (−3,1) and (2,−9). Where are the vertices of (⅓) c(x) located? Enter your responses as ordered pairs. Do not include any spaces.

Answer explanation

Answer is (-3,⅓) and (2,-3)

Scaling the function by a constant factor 1/3 does not change the x-coordinates of the critical points. It only affects the y-coordinates of the function. You will multiply the y-coordinates by ⅓ and keep the same x-coordinates.

(⅓ times 1) and (-9 times ⅓)

The graph of the rational parent function is shown on the grid. What is the domain of this function? Choose the correct answer from the drop-down menu to complete the sentence. The domain of the function is

• all real numbers

• all real numbers greater than zero

• all real numbers less than zero

• all real numbers except zero

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Label each of the five parent functions with their correct family name.

Graph 1

Graph 2

Graph 3

Graph 4

Graph 5

• 1. 1. Cube Root

  2. 2. Logarithmic

  3. 3. Rational

  4. 4.Quadratic

  5. 5.Absolute Value

• 1.Linear

  2. 2.Quadratic

  3. 3.Rational

  4. 4.Square Root

  5. 5.Absolute Value

• 1.Cube Root

  2. 2. Rational

  3. 3.Exponetial

  4. 4.Quadratic

  5. 5. Absolute Value

• 1.Logarithmic

  2.Exponential

  3. 3.Quadratic

  4. 4.Linear

  5. 5.Cube Root

The graph below contains three different functions.

Select the point that lies on the cube root function.

• (0,0)

• (-2,4)

• (4,2)

• (-1,-1)

• (1,1)

Tags

CCSS.HSF-IF.C.7B

If f(x) = 10^x, what are the coordinates of the y-intercept of f(x) + 3? Write your response as an ordered pair.

Tags

CCSS.HSF-IF.C.7A

Mr. Washington compiled a list of his Algebra 2 students' current class grades against their total absences.

Which of the following functions represents the linear model that will make the best predictions of Mr. Washington’s students’ class grades based on how many classes they have missed?

• g(x) = -2.8x + 93

• g(x) = -3.5x + 97

• g(x) = -3.7x + 98

• g(x) = -4.2x + 101

Tags

CCSS.8.EE.B.5

If f(x) = 4x and g(x) = 2^x, what is the effect of the composition f(g(x)) on the graph of g(x)?

• g(x) is compressed vertically.

• g(x) is stretched vertically.

• g(x) is translated 4 units up.

• g(x) is translated 4 units to the left.

Tags

CCSS.HSF-BF.A.1B

What are the coordinates of the minimum point of s(x) = √x + 4 ?

• (4,0)

• (0,4)

• (−4,0)

• (0,−4)

Tags

CCSS.HSF-IF.C.7B

Let f(x) be the rational parent function and g(x) = x-7. Use the grid to graph the horizontal asymptote of g ο f(x)

Answer explanation

Y= -7

Tags

CCSS.HSF-IF.C.7D