Graphing Rational and Radical Equations
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is this a function? What is the domain and range? Use the equation, and the Desmos graphing calculator to approximate to the hundredths if needed (two decimal places).
yes
D: (-∞, -3) υ (-3, +∞)
R: (-∞, 2) υ (2, +∞)
no
D: (-∞, -3) υ (-3, +∞)
R: (-∞, 2) υ (2, +∞)
yes
D: (-∞, 2) υ (2, +∞)
R: (-∞, -3) υ (-3, +∞)
no
D: (-∞, 2) υ (2, +∞)
R: (-∞, -3) υ (-3, +∞)
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the zeros? What is the y-intercept? Use the equation, and the Desmos graphing calculator to approximate to the hundredths if needed (two decimal places).
zeros:
(0, -3.50)
y-int:
(2.33, 0)
zeros:
(3.50, 0)
y-int:
(0, 2.33)
zeros:
(2.33, 0)
y-int:
(0, -3.50)
zeros:
(-3.50, 0)
y-int:
(0, 2.33)
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE SELECT QUESTION
1 min • 1 pt
What are the critical points? What are the intervals it is increasing or decreasing? Use the equation and the Desmos graphing calculator to approximate any points (two decimal places).
no critical points
Relative Min: (0, 2.33)
Relative Max: (-3.5, 0)
Increasing
(-∞, -3)
Decreasing
(-3, +∞)
Increasing:
none
Decreasing
(-∞, -3)
(-3, +∞)
Relative Min: (0, 2.33)
Absolute Max: (-3.5, 0)
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Graph analysis.
Describe the continuity.
Use the equation, and the Desmos graphing calculator to approximate to the hundredths if needed (two decimal places).
continuous
discontinuous - infinite
x = -3
discontinuous - jump
x = 2
discontinuous - removal
x = -3
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSA.REI.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is the graph of the given function
Tags
CCSS.HSF-IF.C.7B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is the function shown in the graph?
y = √(x - 3)
y = √(x) + 3
y = √(x + 3)
y = √(x) - 3
Tags
CCSS.HSF-IF.C.7B
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