3.1
The ________ of a function is the set of all possible output values.
Range
An ______________ of a graph is the x-coordinate of a point where the graph intersects the x-axis.
X-Intercept
A _______ function is a function whose graph is a nonvertical line.
Linear
f(x) is another name for?
y.
The ________ of a linear equation is Ax+By=C, where A, B, and C are real numbers and A and B are not both zero.
Standard Form
Is this a function?
(-3,1), (-2,1), (-1,1), (0,1), (1,1)
Yes. Each input has exactly one output.
A function is ___________ when its graph moves down as X moves to the right.
Decreasing
Which of the following equations represents a linear function?
A. y=−2x+5
B. y=3x3
C. y=x2−3
D. y=∣x∣+1
A. y=-2x+5
Evaluate the function when x=-4. Write your answer as an ordered pair.
f(x)= 2x+1
(-4,-7)
The graph of x=a is a _________ line.
Vertical.
Is this a function?
(-5,0), (0,0), (5,0), (5,10)
No. The input 5 has two different outputs.
What does the notation 'as x→∞, y→−∞' describe about the end behavior of a function?
A. The graph moves down as it goes to the left.
B. The graph moves down as it goes to the right.
C. The graph moves up as it goes to the left.
D. The graph moves up as it goes to the right.
B. The graph moves down as it goes to the right.
The graph of a function is a "U" shape (a parabola). Is this a linear or nonlinear function?
Nonlinear function.
True or False: f(x) means "f times x"
False. It means "the value of f at x" or "f of x"
Find the x-intercept of the linear equation. Write answer as an ordered pair.
2x-y=4
(2,0)
To see if a graph represents a function, I can use this test to see if more than one point is passed through at a time.
Vertical Line Test
If a function's graph is continuously moving up as you trace it from left to right, how is the function described over that interval?
A. Positive
B. Negative
C. Increasing
D. Decreasing
C. Increasing
On a graph, how would a function with a discrete domain be represented?
For g(x)= 3x+2, find the value of x for which g(x)= -7. Write your answer as an ordered pair.
(-3,-7)
Find the y-intercept of the linear function. Write the answer as an ordered pair.
3x+2y=6
(0,-4)
Determine the range:
(-3,-2), (-1,0), (1,2), (3,4)
Range: {-2,0,2,4}
The graph of a function crosses the x-axis at x=5 and the y-axis at y=−2. What are the coordinates of the x-intercept and y-intercept?
A. x-intercept: (5,−2), y-intercept: (0,0)
B. x-intercept: (5,0), y-intercept: (0,−2)
C. x-intercept: (−2,0), y-intercept: (0,5)
D. x-intercept: (0,5), y-intercept: (−2,0)
B. x-intercept: (5,0), y-intercept: (0,-2)
Does the table represent a linear or nonlinear function? Why?
x y
3 36
6 30
9 24
12 18
Linear. Constant ROC.
x- +3
y- -6
Find the value of x so that the function has the given value. Write your answer as an ordered pair.
f(x)= 6x+9; f(x)= 21
(2,21)
Use intercepts to find the ordered pairs for the linear equation.
5x-2y=10
x-int: (2,0)
y-int: (0,-5)