Linear or Non linear
Is this a linear function:
Y = 5 x + 6
Challenge: What is the slope? What is the y - intercept?
Yes.
Y = 5 x + 6
The slope is 5.
The y-intercept is 6.
The points ( 5 minutes, 15 feet) means....
A. Sam was driving his car at 5 minutes.
B. Sam was sitting still.
C. At 5 minutes after driving, he was 15 feet from his house.
The points ( 5 minutes, 15 feet) means....
C. At 5 minutes after driving, he was 15 feet from his house.
A function means:
- There is only one input for one output.
- 1 x-value has only 1 y- value.
- Passes the vertical line test.
True or false?
TRUE!!
A function means:
- X does not have more than 1 partner
- 1 x-value has only 1 y- value.
- Passes the vertical line test.
Is this a function:
Y = -3 x + 10
Challenge: What is the slope? What is the y - intercept?
Yes.
Y = -3 x + 10
The slope is -3
The y-intercept is 10.
X- axis represents the time in hours.
Y- axis represents the total distance (miles) Khalil drove from his mom's house to the football game. Describe the points ( 6 , 24 ) in the context of the problem.
X- axis represents the time in hours.
Y- axis represents the total distance Khalil drove.
( 6 , 24 ) means that at 6 hours Khalil had driven a total of 24 miles.
X Y
3 , 5
6 , 8
9 , 11 Is this a function? Explain your thinking.
Yes. Each x # only has 1 y #. No repeating x- values.
3 , 5
6 , 8
9 , 11
Is this true or false?
A linear function FAILS the vertical line test.
False.
A linear function SHOULD PASS the vertical line test.
Moving the vertical line from left to right, there should only be one point that touches the graph.
X- axis represents the time in minutes after the football game started.
Y- axis represents the total candy bars that Andy and Brenda sold at the football game. Describe the points ( 8 , 15 ) in the context of the problem.
X- axis represents the time in minutes.
Y- axis represents the total candy that Andy sold
( 8 , 15 )
By 8 minutes into the game Andy and Brenda had sold 15 candy bars.
3x8 + 2x4 is a linear function.
True or false. Explain why.
3x8 + 2x4 is NOT a function. False.
A linear function does not have exponents.
It is written as: y = mx + b.
y = x 4 + 60
Is this a linear function?
No.
It has an exponent of 4. The equation for linear equation is: y = mx + b.
X- axis represents the time in hours since Mrs. Nguyen got home with the new baby.
Y- axis represents the total number of diapers she had to change since arriving home. Describe the points ( 2 , 7 ) in the context of the problem.
X- axis represents the time in hours
Y- axis represents the total number of diapers she had to change
( 2 , 7 ) By the end of 2 hours Mrs. Nguyen had to change a total of 7 diapers.
An interval that has a CONSTANT rate of change looks like:
A line straight across
The point (0 seconds, 10 miles) means that at the y -intercept, Jaovanni was 10 miles from his house, and did not move yet.
Is this true or false?
This is true. ( 0 seconds, 10 miles)
At the beginning at 0 seconds, he is far from his house, and did not move. The y-intercept is his starting point.
X represents __________________
Y represents __________________
Create your coordinate points: ( ____, _____)
Describe the points in the context of your problem.
(Answers will vary)
X represents __________________
Y represents __________________
Create your coordinate points: ( ____, _____)
Describe the points in the context of your problem. Answers will vary.
X - Axis represents the time in seconds. Y - axis represents his speed.
From 0 to 5 sec, Luis's speed increased.
From 5 to 10 sec, Luis slowed down at the red light.
From 10-15 sec, Luis stopped and waited. Draw the graph based on the intervals on the white board.
0-5 seconds: Line goes upward
5- 10 seconds: Line goes downward to 0
10-15 seconds: Line is constant.