Functions PreCal Review
Presentation
•
Mathematics
•
10th - 12th Grade
•
Medium
+2
Standards-aligned
Denae McNeily
Used 2+ times
FREE Resource
4 Slides • 11 Questions
1
Functions PreCal Review
2
Part 1: NO CALCULATOR; Parent Functions and their transformations
Know the parent function by the name, equation or graph and be able to give the other two pieces of information
Know the domain and range of the parent function or the transformation function
Know if/when a function increased or decreases for both the parent or transformation function
Know if/where a function has asymptotes for parent and transformation function
3
Multiple Choice
What is the domain of f(x) = x3
D: (-∞, ∞) R: (-∞, ∞)
D: (-∞, 0). R: (0, ∞)
D: (0, ∞). R: (-∞, 0)
Domain and Range can not be determined
4
Multiple Choice
What is the name of the parent function with equation: f(x) = ∛x
Quadratice
Square Root
Cubic Root
Cube Root
5
Multiple Select
Which of the following function transformation indicates: y-axis reflection, vertical stretch by factor of 4, horizontal shift left 3 and vertical shift of down 6
f(x) = - |4x +3| -6
f(x) = 4|-x + 3| - 6
f(x) =| -4x -3| -6
f(x) = 4| -x -3| -6
None of the above
6
Multiple Choice
Which of the answers below cube root transformation of the parent frunction
None of these
7
Multiple Select
Which of the following are parent functions (check all that apply)
None of these
8
Part 2: Calculators may be used
Operations with functions with and without algebraic expressions
Function Composition
Writing the inverse of a function
Verifying if two functions are inverses by graphing and by composition
Giving the domain and range
Transformations: Determining the equation of a graphed transformation, explaining how a function graph was transformed or explaining how a function was transformed from the equation
9
Open Ended
Write the equation for the transformation from blue to green
10
Multiple Choice
f(x) = -x
g(x) = 2x + 3
h(x) = x2 - 1
k(x) = -(x)3
Find: h(-2)
3
-3
5
-5
none of these
11
Multiple Choice
f(x) = -x
g(x) = 2x + 3
h(x) = x2 - 1
k(x) = -(x)3
Find: g(k(x+1))
g(k(x+1) = 2x4+ 8x3 + 6x2+x
g(k(x+1) =2x4 - 8x3-6x2-x
g(k(x+1) = -2x4 - 8x3-6x2-x
g(k(x+1) = -x3+2x2-x
none of these
12
Multiple Choice
f(x) = x - 2
g(x) = -x
h(x) = |x| +3
Find g(f(x))
g(f(x)) = x + 2
g(f(x)) x - 2
g(f(x)) = -x + 2
g(f(x)) = -x - 2
13
Multiple Choice
h(x)=−x−618
h(x)=−x18−6
h(x) = −18x−6
h(x)=−2x − 39
No inverse
14
Open Ended
f(x) = 7x + 3
g(x) = x2
h(x) = -6x + 2
Find f(x) + h(x) - g(2)
15
Studying
Use all the study materials to study for the tests
Reminder if you would like one-to-few study session, there are time frames for Friday you can choose from:
7:45 - 8:15 (google meet)
9:00-9:30 in person, up to 3 people
9:30-10:00, up to 3 people
10:00-10:30, up to 3 people
10:30-11:30, up to 3 people
11:30 - 12:00, up to 3 people
** When you email, I would suggest selecting first choice, 2nd choice, 3rd choice study session times because first to email me, first scheduled**
Functions PreCal Review
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