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Linear Functions 6-1 to 6-3
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y = 7x + 5 represents your dog walking business; with x being the number of dogs, and y being the price. How much will it cost for 3 dogs?
$26.00
y = 7x + 5 represents your dog walking business; with x being the number of dogs, and y being the price. What does 5 represent?
Additional fee or the start
You start with 30 apples, but 2 apples are eaten by each friend at your party. What equation represents this?
y = -2x + 30
A bus driver charges $3 per mile, with an initial $5 fee. How much will you pay after 6 miles?
$23.00
A bus driver charges $3 per mile, with an initial $5 fee. What equation represents this?
y = 3x + 5
What is the slope of a line parallel to y = 5/2x + 6
5/2
What is the rate according to y = -x + 7
-1 ; down 1 over 1
What is the equation for this graph?
y = 3x - 5
What is the equation for this graph?
y = -2/3x + 3
What is the equation for this graph?
y = 2x + 4
What is the y-intercept according to y = 2/3x ?
0
What is the slope according to y = 2/3x ?
2/3 up 2 over 3
Is y = 2/3x linear or nonlinear?
Linear!
What is the Domain of the function?
-3 to 3
What is the Range of the function?
1 to -3
What is the Range of the function?
0 to 6 OR 0 to positive infinity
What is the Domain of the function?
-6 to +6 OR infinite
Is this a linear function?
NO, it does not follow y = mx + b
Is this a linear function? Solve for y to determine -12x = 18 + 6y
Yes! -3 - 2x = y
Solve for y in this equation to determine if it is linear. 10x + 5y = 15
y = -2x + 3 , it IS LINEAR
Is the following set of points a function? Explain why or why not.
NO! 3 has two outputs
Is the following set of points a function? Explain why or why not.
Yes! Every input(x) has ONE output(y)
Is the following set of points a function? Explain why or why not.
Yes! Every input has ONE output
All linear functions follow what formula?
y=mx+b
Which graph is a function?
D


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