Evaluating Functions, Function vocabulary, Functions (Algebra)
Vertical Line Test
A test use to determine if a relation is a function. A relation is a function if there are no vertical lines that intersect the graph at more than one point.
dependent variable
A variable (y) that depends on one or more other variables
domain
All the values that go into a function
f(-2) = 7, f(3) = 9
(4, -2), (1, 8), (-3, 5), (-2, 7), (1, 9), (3, 9) Evaluate f(-2). Evaluate f(3).
Function f(x)
A relation for which each element of the domain corresponds to exactly one element of the range
f(-2) = -23, f(3) = 7
f(x) = 4x - 3 + 2x - 8 Evaluate f(-2). Evaluate f(3)
f(-2) = -14, f(3) = 1
f(x) = 3x - 8 Evaluate f(-2). Evaluate f(3)
f(-2) = -2, f(3) = -1
Evaluate f(-2). Evaluate f(3).
f(-2) = 0, f(3) = -1
Evaluate f(-2). Evaluate f(3).
f(-2) = 1, f(3) = -3
Evaluate f(-2). Evaluate f(3).
f(-2) = 2, f(3) = 10
Evaluate f(-2). Evaluate f(3).
f(-2) = 4, f(3) = 9
Evaluate f(-2). Evaluate f(3).
x-coordinate
The horizontal value in a pair of coordinates
Range
The set of outputs or y-values
Independent variable
The variable that represents the input and causes the change in the dependent variable; x-axis label
y-coordinate
The vertical value in a pair of coordinates
f(-2) = -2, f(3) = 18
This is a linear function. Evaluate f(-2). Evaluate f(3).
nonlinear function
a function that does not have a constant rate of change
linear function
any function that has a constant rate of change; the function has either one or two variables with no exponents or powers
run
change in the x-values
rate of change
change in the y-value divided by the change in the x-value
rise
change in the y-values
relation
collection of ordered pairs containing one object from each set.
f(-2) = -9 f(3) = 1
f(x) = -(2x - 3) + 4(x - 2) Evaluate f(-2). Evaluate f(3).
f(-2) = 6, f(3) = -19
f(x) = -2(x - 1) - 3(x + 2) Evaluate f(-2). Evaluate f(3).
f(-2) = 17, f(3) = -3
f(x) = -3(2x - 5) + 2(x - 3) Evaluate f(-2). Evaluate f(3)
qualitative graph
graphs that are used to represent situations that do not necessarily have numerical values
slope
how steep a straight line is
unit rate
ratio of two measurements in which the second term is 1
mapping diagram
shows how each element of an input is paired with each element of an output.
input
the known variable.
coordinate plane
the plane containing the "x" axis and "y" axis.
output
the unknown variable.
y-intercept
the value where a line crosses the y-axis of a graph
x-intercept
the value where a line intersects the x-axis of a graph
ordered pair
two numbers written in a certain order; usually written in parentheses like this: (4,5)
