Functions and Patterns

Linear and Non Linear Functions

100

This is the "k" in y=kx.

What is the rate of change or constant of proportionality?

200

Mikayla walks dogs in her neighborhood. She gets paid $50 a week plus $25 for each dog she walks. What is the rate of change of Mikayla's income?

What is $25?

300

If Mikayla invests her dog walking money in the bank and it is represented by this equation: y=50 + 25x, how would the graph of the equation look like?

What is linear or a straight line?

400

These points (0, 2) , (1, 4) , (2,6), (3, 8) are represented by this equation . find the Equation of a line that crosses these points.

What is y=2x+2?

500

These points: (0, 1), (1, 4), (2, 7), (4, 13), are represented by this equation. find the equation of the line.

What is y=3x + 1?

Identifying Functions

100

What test can we use to determine if a graph represents a function.

What is the vertical line test?

200

Is the following relation a function: {(1, -1), (2, -2), (3, -3), (4, -4)}.

What is yes?

300

Determine if the following relation is a function: {(5, 1), (6, 8), (15, 0), (9, 9)}

What is yes?

400

What is the output of the relation {(1, 5), (4, 6), (7, 7)}.

What is { 5, 6, 7}?

500

What is the input in the following relation: {(7, 1), (5,9), (9, 3)}

What is {7, 5, 9}?

Defining key terms

100

Define function.

What is a relation that maps each input value with one and ONLY one output value?

(x has only one y)

200

what is the y-int of the following equation: y= 3x+1.

What is 1

300

what is the slope? 

y=-2/3x-1

What is

-2/3

?

400

How do you find the slope from a graph?

(rise)/(run)

500

who can you draw to remind you of the type of slopes?

Mr. slope

 

Solving equations

100

Find the value of x.

3x+7-x=21

What is x=2

200

What is the value of x

3x-6=12

What is x=6

300

What operation cancels out multiplication 

Division

400

What is the value of x in the equation ?

x=3

500

what value of x makes this equation true? 

2x+9-4x=x-12

what is x=7

Toss Up

100

Find the new points after the dilation of a scale factor of 2.

A(-2,3)

B(0,6)

C(1/2,9/2)

A(-4,6)

B(0,12)

C(1,9)

200

Perform the translation (x,y)->(x-3,y-5)

A(3,5)

B(1,6)

C(3,7)

what is

A(0,0)

B(-2,1)

C(0,2)

300

Solve the following equation: y=mx+b what does m and b represent?

m = slope

b = y-int

400

What words/phrases represent slope? (hint there should be 4)

Rate of change, each, every, per

500

The equation y=4x is what type of relationship?

what is proportional?