What is a relation?
A relation is a set of ordered pairs
Does the graph represent a function?
No, this does not represent a function
Is the function a nonlinear or linear function?
This function is nonlinear
What is the equation for this line?
y=x+2
Is the graph of the function increasing, decreasing, or constant?
Define a function.
A function is a relation in which each input only has one output
Does the Graph represent a function?
Yes, this graph represents a function
Is the equation linear or nonlinear?
Linear
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
y=2.50x+3
Which interval is decreasing a or b
interval B
True or False: Can functions have multiple outputs for the same input
False.
Is this graph a function?
Yes, this graph is a function
Which linear equation has the greatest initial value?
Function C
What is the equation for this table?
y=x+5
What is the behavior of the graph of a function with a slope that is positive?
Increasing
If a relation is a function, what property does it have
If a relation is a function, it has the property that each input corresponds to exactly one output
Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours and went 520 miles. What was their constant rate of speed?
65 miles per hour
Is the table linear or nonlinear?
Non-Linear
Bowling costs $4 for shoe rental plus $5 for every game. Write an equation that shows how much it costs to go bowling for x games.
y=5x+4
Which of the interval(s) are constant?
Interval 3
Is This relation an function?
Input 3,4,1,5
Output 4,6,2,8
The relation in the table is a function.
Emmanuel opened a savings account with $50. She plans to deposit $20 each month into the account. Write the function in the form of y=mx+b.
y= 20x + 50
Carla's lawn-mowing rates are represented by the equation y = 9.5x + 15. How much does Carla charge per hour to mow lawns?
$9.50
What is the Slope?
2
Is the graph of the function increasing, decreasing, or constant?
Constant