Key Features
The x-values, inputs, of a function.
Domain
The transformation performed here: y = |x - 3|.
Horizontal translation right three units
3
Where these two functions intersect:
y = x + 2
y = 2x + 1
x = 1
The slope of this line: y = 5x + 9
5
The point at which a function crosses either the x- or y-axis.
Intercept
The parent function of: y = x2 + 3x - 2.
y = x2
The common difference of this sequence: 2, 5, 8, 11...
3
Solution to this equation: 3x + 16 = 7x + 4.
The sum of the angles inside a triangle.
180 degrees
The slope is positive on this kind of interval.
Increasing
The number of transformations applied to this function: y = -(x + 2)2 + 4.
Three
The explicit definition of this sequence: 4, 6, 8, 10...
g(x) = 2x + 2
Solution(s) to this equation: |2x - 4| = 2.
x = 3
x = 1
The factored form of: y = x2 + 2x + 1.
y = (x + 1)(x + 1)
The y-values are less than zero on this kind of interval.
Negative
The transformation applied to this function: y = 3x2.
Vertical stretch by a factor of three
The recursive definition of this sequence: 5, 7, 9, 11...
an = { 5, if n = 1
{ an-1 + 2, if n > 1
Interval for which the inequality is true: 2x - 4 > 0.
x > 2
The slope of the line through the points (1, 4) and (3, 12).
4
The name of the interval (-∞, ∞).
All real numbers
The transformation performed on this function: (2x)2.
Horizontal compression by a factor of 0.5
This sequence is not arithmetic. The following sequence is __________ : 2, 4, 8, 16...
Geometric
Interval(s) for which the inequality is satisfied: x2 - 4 < 0.
(-2, 2)
The square root of -1.
i