Evaluating Functions
What is the output for the following function?
f(x)=x+(-9) x=20
11
What is the term that describes how a pattern increases or decreases over time?
The Growth Rate
30=5x
x=6
Is the following data set a function: (2,7) (3,9) (4,11) (5,13)
Yes.
A relation that is graphed as a line that connects various points is known as what? (This is a type of relation)
A continuous relation.
What is the output of the following function?
f(x)=2x+5 x=10
25
A term that is used to describe the number where a function crosses the y-axis. Another way to describe this, is the y-value when the x-value is equal to zero.
Starting Value or Y-Intercept
25=2x+5
x=10
Is the following set of coordinates a function?
(0,2) (1,7) (2,12) (3,17) (1,7)
Yes, one repeats, but it has the same output.
Domain measures how far a graph goes from ________ to ________. In other words, the domain tells you the distance a graph goes into, a specific direction, what is that direction.
Left to Right or Right to Left.
How do we write functions in this class?
y=Growth Rate (x) + Starting Value
A term that describes every x-value for a specific function or equation.
Domain
-20=2(x-6)
x=-4
With the following function, how would you find three y-outputs to graph the function. 2x+5
Choose three numbers for the x-value and input them into the function.
Identify the domain of the following coordinates:
(2,4) (3,7) (4,10) (5,13)
2, 3, 4, 5
What is the output for the following function?
f(x)=-3x+(-7) x=5
-22
A term that describes all of the y-values for a function.
Range
140=10(x+8)
x=6
How do you determine if a graph is a function or not a function?
The Vertical Line Test
Identify the range of the following coordinates:
(1,10) (2,20) (3,30) (4,40) (5,50)
10, 20, 30, 40, 50
What is the solution to the following equation?
f(x)= -2(x+9) x=7
-32
A function that can be represented on a graph as a straight line.
Linear Function
-18=6(x-10)
x=7
In a function, every x value has exactly _____________. Another way to say this, is every input has exactly ___________.
one y-value or one output
Which values are considered the dependent variables? Which values are considered the independent variables?
y - values, x - values.