Functions
Standard Form
Slope-Intercept Form
Linear Transformations
Absolute Value
100
Determine if the functions is linear or nonlinear. y=-2x+3
Linear
100
Identify the x and y intercepts of 2x-3y=6
x-intercept: (3,0) or x =3 y-intercept: (0,-2) or y =-2
100
What is slope intercept form?
y=mx+b
100
Describe the transformation if f(x) = 3x+3 and g(x) = f(x) -3
Down 3 units.
100
What is the parent function for the absolute value?
y = |x|
200
When looking at a graph, how do you tell if it is a function?
Vertical Line Test
200
Graph the function -12x-3y=36
You should have an x-intercept at x = -3 and a y-intercept at y = -12. These should be connected with a line.
200
Identify the slope and y-intercept of y = 3x-4.
slope is 3 y-intercept is -4
200
Describe the transformations if f(x) = -5-x and g(x) = f(-x)
y-axis reflection
200
Where is the vertex located in the equation y = -2|x-5| +1
The vertex is located at (5,1).
300
Evaluate f(x) = 3x-9 when x = 2.
f(2) = -3
300
Graph y = -5
This should be a horizontal line through -5.
300
Graph y = -2x+2
You should have a y-intercept of 2 and a slope of -2.
300
Describe the transformation is h(x) = (1/3)f(x)
Horizontal Shrink
300
Describe the transformations of y = -2|x+1| -2
Reflection, stretch, left 1, down 2
400
Determine the domain and range of y = -5|x-2|+1
Domain: All Real Numbers Range: y<1
400
Graph x =6
This should be a vertical line through 6.
400
Find the slope of the line with points (-3,1) and (2,-2).
3/-5
400
Describe the transformation from f(x) = x to g(x) = (1/3)x+1
Shrink and up one unit.
400
Graph the function y = |x+2| -6
Vertex at (-2,-6) and slope of 1
500
What is the difference between discrete and continuous domains?
Discrete domains are presented points, where a continuous domain is presented with a line.
500
You overhear your friend explaining how to find intercepts to a classmate. Your friend says, “When you want to find the x-intercept, just substitute 0 for x and continue to solve the equation.” Is your friend’s explanation correct? Explain.
Your friend is incorrect. If you want to find the x-intercept you substitute 0 in for y and then solve.
500
Graph y=2x +2 and determine the x-intercept
x-intercept is (-1,0)
500
A school sells T-shirts to promote school spirit. The school’s profit is given by the function P(x) = 8x − 150, where x is the number of T-shirts sold. During the play-offs, the school increases the price of the T-shirts. The school’s profi t during the play-offs is given by the function Q(x) = 16x − 200, where x is the number of T-shirts sold. Describe the transformations from the graph of P to the graph of Q.
Horizontal stretch and down 50 units.
500
Compare the graphs of p(x) = ∣ x − 6 ∣ and q(x) = ∣ x ∣ − 6.
p(x) moves right 6 while q(x) moves down six.
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