linear functions
linear functions
linear functions
linear functions
identifying functions
100
What is a linear Function?
A function that represents a straight line on a coordinate plane.
100
what does M mean in slope intercept form?
What is the Slope
100
What test tells us if something is a function?
vertical line test
100
What is the slope of y=3x+4?
What is 3
100
Do these ordered pairs represent a function? Why or why not?
(1,4), (2,5), (3,6), (1,7)
No, for the input of 1 there are multiple outputs.
200
Describe the slope in fraction form with words only.
rise/run
200
What does slope mean?
The slope of a line is the steepness of line.
200
What is the equation if m = 3 and b = 10?
what is y = 3x + 10?
200
Does a linear function have a constant rate of change?
A Linear function does have a constant rate of change.
200
Is the relation shown by this mapping a function? Why or why not?
Inputs --> Outputs
1-->2
2-->4
3-->6
4-->8
Yes, each input only has one output.
300
What does the initial value or one time fee represent in a word problem?
It represents the y- intercept.
300
What does the B intercept represent in slope intercept form?
What is the Y-intercept
300
how do you know if it is a linear function besides it being a straight line?
what is a constant rate of change
300
what would the x intercepts represent?
The point at which at the graph of an equation crosses over the x axis with y being equal to 0.
300
A graph shows a sideways "U" shape that, for some x-values, has two different y-values on the same vertical line.
Does this graph represent a function? Why or why not?
No. It would fail the vertical line test showing that there are more than one output per input.
400
What is and equation for the points (5, 8) and (3, 4)?
y = 2x - 2
400
What is the Y intercept in math?
When the line touches the Y axis and x is equal to 0.
400
What is the slope of the table?
the slope of the table is m=1
400
Give me one way to find the slope?
y2-y1/x2-x1
Rise/Run
Change in Y/ Change in X
400
A movie theater charges a fixed price per person. Each number of people p is matched to the total cost c.
Does this situation describe a unction from number of people to total cost? Explain your reasoning.
Yes it is a function. The number of people (p) input is matched with one output (c) the total cost. It would be a function describing the number of people to total cost.
500
What is the y- intercept of the table?
the y- intercept is b=25.
500
(-6,-6),(8,-10)
What is the slope?
The slope is m=-2/7
500
What form is this y=mx+b?
What is Slope-Intercept Form
500
What is the domain of a function(all the x-value or y-value)?
What is all the x-values
500
A used car lot lists prices for cars based on their color. Each color cc (like red, blue, black) is matched to the selling price pp. Some colors have different prices depending on the dealer's mood that day.
Is this situation a function from car color to selling price? Explain.
No, it is not a function.
A function requires each input (car color cc) to match exactly one output (selling price pp).
Here, the same color could have different prices on different days (like a red car for $10,000 one day and $11,000 another), so one input has multiple possible outputs.
This violates the function definition.