Function?
What is a function?
an input to exactly one output
What does each part of y = mx + b represent?
Y is the output, m is the slope, x is the input, and b is the y-intercept
What is a proportional relationship?
two quantities change at the same constant rate
Slide 3
118
Is this a linear function and why? y + 3x^2 + x = 0
No, x^2 makes a quadratic line which curves
A fishing shop charges $8 to rent fishing gear and $35 per hour to rent a boat. Write a function to model the cost, c, to rent fishing gear and a boat for h hours.
C = 35h + 8
A line passes through the origin and the point (3, 10). What is a point that is also on the line
Answers vary
Name the 4 transformations and what they mean.
Rotation: rotate a figure around a point, Reflection: reflect a figure across a line, Translation: move a figure in a direction, Dilation: scale a figure about a point
What is a range vs domain?
The domain is the set of all possible input values (like x-values) a function can accept, while the range is the set of all output values (like y-values) the function actually produces from those inputs
Write the slope-intercept form of the equation of a line with slope of -2 that passes through the point (15, -9)
Y = -2x + 21
What is the difference between a proportional relationship and a linear function?
Proportional relationship is a type of linear function that goes through the origin but a linear function represents a straight line that may or may not go through the origin
Slide 4
x=9
Slide 1
Is not, -9<x<6, 0<x<7
Write the slope-intercept form of these 2 coordinates (4, -3) and (7, -9)
Y = -2x + 5
Slide 2
Y = -3/4x
Michael is saving money to buy his senior class ring. The base cost of the ring is $280 plus any upgrades he wants to purchase. If he saves $35 each month, which solution represents how many months, m, it will take Michael to purchase his ring?
M is greater than or equal to 8