Terms
etc...
Describing transformations
Basic Functions
More Basic Functions
100
A visible representation of a numerical or algebraic model.
Graphical Model
100
How the inverse of a function is found.
Replacing y and x, or switching their places.
100
y=x y=(x+4)
Left four units
100
The equation for the linear or Identity function is this.
y=x
100
A function that oscillates.
Sine or Cosine
200
Another term for a root, or solution of an equation.
Zero
200
A way to test graphically if something is a function.
The Vertical Line Test
200
y=(x)^2 y=2(x)^2
Vertical stretch by factor of 2
200
The function with an abrupt change of direction at the origin.
Absolute Value
200
A function using the constant e
Exponential or Logistic Function
300
The type of discontinuity that can be filled in with a single point.
Removable Discontinuity
300
Adding a number inside the parenthesis of a function (with the X) will cause this kind of change.
Horizontal translation or shift.
300
y=|x| y=|x+1|+1
Up one unit, left one unit.
300
A function whose shape is useful in making satellite dishes.
Parabola (Square function) or Hyperbola (Cubic function)
300
The function that creates a hyperbola.
Reciprocal function, or y=1/x
400
A function is this if there is a number greater than every y-value contained in the function.
Bounded Above
400
changing y=f(x) to y=-f(x) will reflect the function across this axis.
The X axis
400
y=|x| y=-|x-4|+3
Flip over x axis, right four units, up three units
400
The basic function with jump discontinuities. In fact, there is one at every integer value of x.
The greatest integer function.
400
The oscillating function with even symmetry.
Cosine Function
500
A function whose inverse is a function that has a graph that passes both the horizontal and vertical line tests is called this.
One-to-one
500
If y=f(x) is changed to y=cf(x) and c is less than one, this has occurred.
Vertical Shrink
500
y=x y=3(-x)
reflection over y axis, vertical stretch by factor of 3
500
The function used to model many things in business, biology, and ecology among other places.
The Logistic Function
500
All of the functions with even symmetry.
Squaring (square), Absolute value, and Cosine Functions.
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