Vocabulary
Am I a function? AND WHY!? #1
Am I a function? AND WHY!? #2
Linear or Nonlinear? AND WHY!? #1
Linear or Nonlinear? AND WHY!? #2
Comparing Functions
More Comparing Functions
Oldies but Goodies
100
This word describes a relation in which each x value (input) has only one related y value (output).
Function
100
Function or Not a function? AND WHY?!
function, because it passes the vertical line test
100
Function or Not a function? AND WHY?!
not a function, because the input or x value of 58 has two outputs: 12 and -12
100
Linear or Nonlinear? AND WHY?!
y = 2x +1
linear, because there are no exponents or other "extra symbols", or because it is made up of y's, x's, and constants only and can be written in slope-intercept form
100
Linear or Nonlinear, AND WHY?!
linear, because the graphed line is both straight and continuous
100
Which function has the greater rate of change, AND what are the rates of change?
Function A:
Function B:
y = 2x + 4
Function A, and the rate of change is 3 for function A and 2 for function B
100
Which function has the greater rate of change, and what is the rate of change?
Function A: y = -5x - 6
Function B: y = -3x - 5
Function B, function A's rate of change is -5 and function B's rate of change is -3
100
Find the product/simplify
(x^4)(x^5)(x^7)
x4+5+7 = x16
200
Another name/term for both slope and y-intercept
Slope = Rate of Change
Y-Intercept = Initial Value
200
Function or Not a Function, AND WHY!?
not a function, because the input of 2 has multiple outputs - 20 and 40
200
Function or Not a function? AND WHY?!
{(12, 4), (0, 3), (-4, 7), (-15, 7), (-37, 0)}
function, because every input/x value has exactly one output (no inputs repeat)
200
Linear or Nonlinear, AND WHY?!
Nonlinear, because the graphed line is curved
200
Linear or Nonlinear, AND WHY?!
nonlinear, because it is not both straight and continuous
200
Which function has the greater initial value, and what are the initial values?
Function A:
y = 12x + 80
Function B:
Function B, and the initial value for Function A is 80 and initial value for function B is 82
200
Which function has the greater y-intercept, and what are the y-intercepts?
Function A: y = 9x + 7
Function B:
Function B, function A has a y-intercept of 7 and function B has a y-intercept (value of y when x = 0) of 8
200
(45-(14-6^2+27))/8
The solution is 5
300
What visual test can be used to determine if a graphed relation is a function?
Vertical Line Test
300
Function or Not a function? AND WHY!?
not a function, because there are two inputs/x-values of 8 that have different outputs - 3 and -3 (or because it fails the vertical line test)
300
Function or Not a function? AND WHY?!
not a function, because it fails the vertical line test
300
Linear or Nonlinear, AND WHY?!
nonlinear, because there is not a constant rate of change (the slopes are not all the same throughout the table) or because y-values repeat
300
Linear or Nonlinear, AND WHY?!
What is linear, because there is a constant rate of change (as x goes up by 1, y goes up by 4 each time)?
300
Which function has the lesser rate of change, and what are the rates of change?
Function A:
Function B:
y = -5x - 6
What is Function B, and the rates of change are -4 for function A and -5 for function B
300
Who types the fastest (who has the greater rate of change)? Person A or Person B?
Person A:
Person B:
They type at the same speed!!! (sorry for the trick question, but do the math and you won't be fooled!) Both type at 38 words per 1 minute (unit rate!)
300
Solve for x.
7x + 12 = -3x + 72
x = 6
400
When x = 0 in a linear function, its related y-value is known as the ______________
y-intercept
400
Function or Not a function? AND WHY!?
x y
1 2
2 5
6 2
2 9
5 1
not a function, because the input (x) of 2 has two different outputs (y) of 5 and 9
400
Function or Not a function? AND WHY?!
function, because each input has exactly one related output (or because it passes the vertical line test)
400
Linear or Nonlinear? AND WHY?!
y = x2 + x + 1
nonlinear, because the equation has an exponent and can not be written in slope-intercept form
400
Linear or Nonlinear, AND WHY?!
y = 8x - 3y + 12
linear, because there is only x's, y's, and constants/no extra symbols like exponents, square roots, etc.
The equation can be written in slope intercept form y=mx+b
400
Which function has the greater rate of change, and what is the rate of change?
Function A:
Function B:
y = -x + 17
Function A, and the rate of change for function A is -2/3 and the rate of change for function B is -1
400
Which function has the greater rate of change, and what are the rate of changes?
Function A:
Function B:
y = 10x + 2
Function B, function A's rate of change is 9 (18/2) and function B's rate of change is 10
400
Solve for x.
-4(2x + 3) - 3 = -3(x - 15)
x = -12
500
With a table, we can determine that a function is linear by finding if it has this.
Constant rate of change (the same rate of change/slope throughout the entire table)
500
Function or Not a function? AND WHY!?
What is not a function, because a vertical line fails the vertical line test?
500
Function or Not a function? AND WHY?!
function, because each input or x value has only one output or y value
500
Linear or Nonlinear, AND WHY?!
{(-3, 6), (-1, 2), (1, 6)}
nonlinear, because it does not have a constant rate of change or because y-values repeat with different x values
500
Linear or Nonlinear, AND WHY?!
{(2, 5), (4, 3), (6, 1)}
linear, because there is a constant rate of change (or because there is a consistent pattern throughout both x and y: +2 for x, -2 for y)
500
Which function has the greater initial value, and what is the initial value?
Function A:
Function B:
y = -13x + 26
Function B, and the initial value is for function A is 25 and for function B it is 26
500
Which function has the greater slope, and what are the slopes?
Function A:
Function B: 
Function B, function A's slope is 3 (6/2) and function B's slope is 4
500
(2.3 x 108)(3.5 x 105)
8.05 x 1013