Basic functions

A general flashcard set on the basics of functions and defintions.

Function (def)

a relation between a set of inputs having one output each.

Set (def)

A group of numbers or letters

Function (def)

a relation between a set of inputs having one output each.

Set (def)

A group of numbers or letters

Which do you use for a set?

(1,2,3,4,5)

{1,2,3,4,5}

{1,2,3,4,5}

What is the slope of this function?

3

What is a domain?

A set of input values (usually represented as x)

What is a Range?

the difference between the greatest value and lowest value within a collection of numbers.

How do you find the range?

Subtract the lowest y-value from the highest y-value

If input=domain than output=?

Range

What letters are the input and output typically represented by?

X,Y

if x=3 than what is y=4x+1?

y=13

Is y=22x+10 a function?

yes

Which ones are NOT a functions?

1 and 4

Is this a function?

no

what is an independent variable?

A variable that is not changed by other variables

What letter is typically associated with an independent variable?

X

What is a dependent variable?

A variable that is changed depending on the values of other variables.

What letter is typically associated with the dependent variable?

Y

What is the independent variable in the equation y=8x+2 ?

x

What is the dependent variable in the equation y=19x+1

y

Is y²=x a function?

no

is y=2x+1 a function?

yes

Functions need to have ___ input to each output.

one

In a function the ___ or ___ can not repeat

X,domain,input

what does f(x)=x___ replace?

Y=x___

What does f(x) mean? (def)

Function(x)

Does f(x)=h(x)?

yes, the first letter is just a stand in like y

Is this set a function?

(3,2) (4,6) (6,3) (4,3)

no

Which is better to use?

Y or f(x)

f(x)

what is the y intercept in the equation y=2x+1?

1

What is the slope in the equation y=5x+2?

5

what does the b represent in y=mx+b ?

the y-intercept

What does the m represent in y=mx+b ?

the slope

In a y-intercept the ___ value is always ___

X,0

The point where a line passes through the x-axis is called the ____

X-intercept

The rate of change can also be referred to as the _____

slope

what is a y-intercept?

the point where a graph intersects the y-axis

What equation does the word "run" represent?

x₂-x₁

What equation does the word "rise" represent?

y²-y¹ (not exponents)

Rise over run is a simpler version of what equation?

y²-y¹ over x²-x¹ (not exponents)

What does the rise in "rise over run" represent?

how far any 2 Y values in a graph are away from eachother

What does the run in "rise over run" represent?

how far any 2 X values in a graph are away from eachother

Where are the zeros of a graph/function?

At any point on the graph where the y-value is equal to 0

Can one output have 2 inputs?

Yes; y=x²

Can one input result in two outputs?

No