Precalculus Function Transformations

Presentation

•

Mathematics

•

10th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 11 Questions

Functions PreCal Review

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

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

Multiple Choice

What is the name of the parent function with equation: f(x) = ∛x

Quadratice

Square Root

Cubic Root

Cube Root

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

Multiple Choice

Which of the answers below cube root transformation of the parent frunction

None of these

Multiple Select

Which of the following are parent functions (check all that apply)

None of these

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

Open Ended

Write the equation for the transformation from blue to green

Type response here

Multiple Choice

f(x) = -x

g(x) = 2x + 3

h(x) = x² - 1

k(x) = -(x)³

Find: h(-2)

-3

-5

none of these

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

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

Multiple Choice

h\left(x\right)\ =\ -\frac{9}{2x\ +\ 3}

Find the inverse, if one exists

$h\left(x\right)=-\frac{18}{x-6}$

$h\left(x\right)=-\frac{18}{x}-6$

$h\left(x\right)\ =\ \frac{x}{-18}-6$

$h\left(x\right)=-\frac{9}{2x\ -\ 3}$

No inverse

Open Ended

f(x) = 7x + 3

g(x) = x²

h(x) = -6x + 2

Find f(x) + h(x) - g(2)

Type response here

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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