WorksheetsAlgebra 2 Practice Exam
Total questions: 15
Worksheet time: 3hrs 30mins
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.
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.
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
Label each of the five parent functions with their correct family name.
Graph 1
Graph 2
Graph 3
Graph 4
Graph 5
1. Cube Root
2. Logarithmic
3. Rational
4.Quadratic
5.Absolute Value
1.Linear
2.Quadratic
3.Rational
4.Square Root
5.Absolute Value
1.Cube Root
2. Rational
3.Exponetial
4.Quadratic
5. Absolute Value
1.Logarithmic
2.Exponential
3.Quadratic
4.Linear
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)
If f(x) = 10x, what are the coordinates of the y-intercept of f(x) + 3? Write your response as an ordered pair.
(a)
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
If f(x) = 4x and g(x) = 2x, 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.
What are the coordinates of the minimum point of s(x) = √x + 4 ?
(4,0)
(0,4)
(−4,0)
(0,−4)
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)
Which of the following functions has at least one vertex?
f(x) = x+9
g(x) = 2x2
b(x) = 3x
m(x) = -x3
j(x) = ∣x∣
If f(x) is the logarithmic parent function, which statement best describes how its intercepts change when transformed to g(x) = a ⋅ f(x) for some a ε R ?
The x-intercepts stay the same but the y-intercepts are multiplied by a.
The y-intercepts stay the same but the x-intercepts are multiplied by a.
The y-intercept are increased by a; the x-intercept change depending on the shape of the function.
The x-intercepts are increased by a; the y-intercepts change depending on the shape of the function.
A data table is shown.
Which of the following function families best represents the data in the table?
Rational
Logarithmic
Exponential
Cubic
A certain substance in a laboratory is accidentally exposed to reagent and starts to decay. However, this goes on for some time before it is noticed. Once the lab phenomenon until the substance has completely decayed.
(a)
The graph of the cube root parent function was translated to create the graph f(x) = (x+6)-2, which is shown in the graph below.
(-4,1)
(-6,∞)
[-4,1]
(-∞,∞)
