Are You Having Fun(ction)?
Slopes
Intercepts
Transformations
Key Features of Graphs
100
This word is used to describe the set of all inputs for a function.
What is the domain?
100
Find the slope of the function:
y = -3x + 5
m = -3
100
What is the y-intercept of the function
y = 4x - 5
y = -5
100
Parent Function: f(x) = x
New Function: g(x) = 2x +1
What is up 1, vertical stretch ?
100
What is the maximum value for the graph?
6
200
This word is used to describe the set of all outputs of a function.
What is the range?
200
In the given equation, what is the slope?
y = -1/3 x + 4
-1/3
200
What is the x-intercept of the equation?
y = 3x + 6
What is...
x = -2
200
Parent Function: f(x) = x2
New Function: g(x) = (0.2x)2
What is a horizontal stretch?
200
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
300
The difference between an open circle and a closed circle on the graph of a piecewise function
What is...
open circles do not include the number, but a closed circle would include the number.
300
Find the slope of the function that goes through the points (2, 4) and (-4, 16)
What is...
-2
300
Does a piecewise function always have an x- and a y-intercept?
Not necessarily!
300
Parent Function: f(x) = x
New Function: g(x) = 0.3(x - 3) + 5
What is...
vertical shrink
right 3
up 5
300
What is the first increasing interval for this graph?
[-4,-2]
400
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
400
Write the function in slope intercept form
2x - y = 6
y = 2x - 6
400
What is the x-intercept of the function?
f(x) = 1/2 x - 8
x = 16
400
Parent Function: f(x) = x3
New Function: g(x) = -(5x)3 + 1
What is...
reflect over x axis
horizontal shrink
up 1
400
The y-intercept of the graph.
What is (0, 4)?
500
This word describes any set of ordered pairs where each x-value is paired with one y-value.
What is a Function?
500
Write the equation of a line with a slope of 3/2 and a y-intercept of -4
y = 3/2x - 4
500
What is the y intercept of the function?
4x + 8y = 12
3/2
500
Parent Function: f(x) = x
New Function: g(x) = (-x + 3) - 4
What is...
reflect over y axis
left 3
down 4
500
Find f(-3) when f(x) = 2x2 + 12x + 16
f(-3) = 2