Linear or Nonlinear?
Finding slope (m)
Intercepts & Graphing
Real World Application
Mixed
100
This table represents a linear function.
Table A Table B
x | f(x) x | g(x)
0 4 0 2
1 7 1 4
2 10 2 8
3 13 3 16
What is table A?
100
The slope of the line passing through points (0,0) and (5,15).
What is 3?
100
This is the y-intercept as an ordered pair AND slope for the function f(x)= -5x+9.
What is y-intercept (0,9) and slope -5?
100
Kai has a weekend job that pays $14 per hour. Let x represent total hours worked. This expression represents total earnings (f(x)).
What is 14x?
100
An internet company charges a one time fee plus a monthly cost. The table shows the total cost of internet c(x) based on months x. This is the row that gives the y-intercept.
x | c(x)
0 150
1 185
2 220
3 255
What is (0,150)? *Why did you pick that one?
200
The following function is linear.
A) f(x) = 2x2 + 5
B) g(x) = -6x + 1
C) h(x) = 3x
What is B) g(x) = -6x + 1?
200
This is the slope when comparing the "change in y" to the "change in x" for points (2,7) and (5,1).
What is -2?
200
These linear functions are increasing.
A) f(x)= -3x+10
B) g(x)= 2/5x - 1
C) h(x) = 4x
D) k(x) = -x - 2
What is B and C?
200
Kai's total earnings function is f(x)=14x. This is the earnings for the different hours worked (x).
x | f(x)
0 ?
1 ?
2 ?
3 ?
What is 0, 14, 28, 42?
200
An internet company charges a one time fee plus a monthly cost. The table shows the total cost of internet c(x) based on months x. This is the slope.
x | c(x)
0 150
1 185
2 220
3 255
What is 35? *what does this mean in context?
300
For the table below, this explains why the function is nonlinear.
x | f(x)
0 10
1 14
2 20
3 28
What is the rate of change is not constant?
300
The slope of the line passing through (-4,9) and (6,9).
What is zero?
300
For f(x) = 3x-4, this is how much we move vertically whenever we move right by 1 unit on the graph.
What is up by 3 unit?
300
Kai's total earnings function f(x) = 14x is this type of function (linear or nonlinear).
What is linear?
300
Determine the function represented by the table:
x | c(x)
0 150
1 185
2 220
3 255
What is c(x) = 35x + 150?
400
This graph represents a linear function.
Graph 1: A straight line passing through points (0,1) and (3,7).
Graph 2: A curve bending upwards
What is Graph 1?
400
This is the slope of a line containing points (-3,-2) and (3,10).
What is 2?
400
This is the equation in slope-intercept form f(x)=mx+b of the line that crosses the y-axis at (0,-2) and passes through (3,4).
What is f(x)= 2x - 2?
400
For f(x) = 14x, Kai earns this much money when he works 15 hours (x) for the weekend shift.
What is $210?
400
This is the function represented by the graph below written in slope-intercept form f(x) = mx+b
What is f(x) = -2x + 5
500
It determines if a table represents a linear function.
What is a constant rate of change?
500
A water tank drains at a constant rate. At x=2 minutes, there are 18 gallons remaining. At x=6, there are 6 gallons remaining. This is the meaning of the slope in context.
What is the tank loses 3 gallons of water each minute?
500
This is the graph of f(x) = -1/3x + 5.
*see graph
500
For f(x) = 14x. A new gaming console costs $560. This is how many hours (x) Kai must work to earn enough money to purchase it.
What is 40 hours?
500
This is the function represented by the graph below written in slope-intercept form f(x) = mx+b
What is f(x) = -3/2x + 3