Shared Flashcard Set

Details

Alg 1 2025
Algebra 1 Set of Famous Functions
46
Mathematics
9th Grade
02/10/2021

Additional Mathematics Flashcards

 


 

Cards

Term
[image]
Definition

Constant Function

 

f(x)=0

Term
[image]
Definition
Identity Function

f(x)=x
Term
[image]
Definition

Quadratic Function

[image]

Term
[image]
Definition

Cubic Function

 

[image]

Term
[image]
Definition

Square Root Function

 

[image]

Term
[image]
Definition

Cube Root Function

 

[image]

Term
[image]
Definition

Absolute Value Function

 

[image]

Term
How do you find horizontal intercepts of a function?
Definition
Substitute 0 for y and solve the resulting equation.
Term
How do you find vertical intercepts of a function?
Definition
Substitute 0 for x and simplify.
Term
[image]
Definition
Rational Function
[image]
Term
[image]
Definition
Rational Function
[image]
Term
[image]
Definition
Exponential Function
[image]
Term
What are examples of things that you can do to change the appearance of one side of an equation?
Definition
1) Simplify
2) Distribute
3) Add 0
4) Multiply by 1
Term

What is the equation of the translated graph?

[image]

Definition
[image]
Term

If g(x) = [image],

What is the equation of the translated graph in terms of f(x), the parent function of g(x)?

[image]

Definition

f(x + 2) + 1

=

[image]

Term

What is the equation of the following graph?

[image]

Definition
[image]
Term

If g(x) = [image] ,

What is the equation of the translated graph in terms of f(x), the parent function of g(x)?

[image]

Definition

f(x + 2) + 1

=

[image]

Term

What is the equation of the translated graph?

[image]

Definition
[image]
Term

If g(x) = [image],

What is the equation of the translated graph in terms of f(x), the parent function of g(x)?

[image]

Definition

f(x - 2) + 1

=

[image]

Term

What is the equation of the translated graph?

[image]

Definition
[image]
Term

If g(x) = [image],

What is the equation of the translated graph in terms of f(x), the parent function of g(x)?

[image]

Definition

f(x - 1) + 2

=

[image]

Term

What is the equation of the translated graph?

[image]

Definition
[image]
Term

If g(x) = [image],

What is the equation of the translated graph in terms of f(x), the parent function of g(x)?

[image]

Definition

f(x - 1) + 3

=

[image]

Term

What is the equation of the following graph?

[image]

Definition
[image]
Term

If g(x) = [image],

What is the equation of the translated graph in terms of f(x), the parent function of g(x)?

[image]

Definition

f(x + 3) - 1

=

[image]

Term

Which direction is this function being moved?

f(x) + c

Definition

Up

[image]

Term

Which direction is this function being moved?

f(x) - c

Definition

Down

[image]

Term

Which direction is this function being moved?

f(x - c)

Definition

Right

[image]

Term

Which direction is this function being moved?

f(x + c)

Definition

Left

[image]

Term

If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?

[image]

Definition
f(x) - 3
Term

If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?

[image]

Definition
f(x) + 3
Term

If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?

[image]

Definition
f(x + 3)
Term

If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?

[image]

Definition
f(x - 3)
Term
What is the domain of a function?
Definition
The domain of a function is the set of all possible inputs.
Term
What is the range of a function?
Definition
The range of a function is the set of all possible outputs.
Term
What is the relationship between the input and output of a function?
Definition
The output is a function of the input.
Term
What is the vertical intercept of a function?
Definition
The vertical intercept of a function is where the graph crosses the vertical axis.
Term
What is the horizontal intercept of a function?
Definition
The horizontal intercept of a function is where the graph crosses the horizontal axis.
Term
How do you find the vertical intercept of a function?
Definition
In order to find the vertical intercept of a function, you substitute 0 for the input and find the output.
Term
How do you find the horizontal intercept of a function?
Definition
In order to find the horizontal intercept of a function, you substitute 0 for the output and solve for the input.
Term
Given the symbol f(x), what variable is the input?
Definition
The input variable is x.
Term
Given the symbol f(x), what is the output?
Definition
The output is f(x)
Term
What does the symbol f(3) represent?
Definition
f(3) represents the output of the function f(x) when the input is 3.
Term
How is this function being transformed?
-f(x)
Definition
Vertically reflected
Term
How is this function being transformed?
2f(x)
Definition
Vertically stretched
Term
Identify all the transformations and the order in which they should be applied:
-2f(x-3)-4
Definition
1) Vertically Reflected
2) Vertically Stretched
3) Horizontally Translated to the right 3
4) Vertically Translated down 4
Supporting users have an ad free experience!