Functions/Transformations
Is the following a function?
(1, 4), (3, 3), (5, 0), (3, -3)
No
If you have the points (-1, 0), (0, 2) what would be the domain?
Domain = -1, 0
Evaluate the function when x = -1
g(x) = 2x2 + 1
g(-1) = 3
What is the x intercept?
2x + 2y = 6
x intercept = 3
What is the slope of the of the following points that lie on a line?
(-4, 2), (-6, 2)
slope = 0
Is the following a linear function?
y = 5
Yes
What would be the domain if f(x) = |x| ?
Domain = All real numbers
Evaluate the function when x = 0
b(x) = -4x - 8
b(0) = -8
What is the y intercept?
y = 2x + 3
What is the slope of the line that the following points are lie on?
(2, 0), (3, 1)
slope = 1
Describe the transformation from the graph of f to g.
f(x) = |x|
g(x) = |x| + 2
Vertical translation 2 up
What would be the range if f(x) = |x|
Range = Y is greater than or equal to zero
Evaluate the function when x = -4
h(x) = |-x + 5|
h(-4) = 9
What is the y intercept?
-4x + 25y = 100
y = 4
What is the slope of the line that the following points lie on?
(2, 0), (-2, -2)
slope = 1/2
Describe the transformation from the graph of f to g.
f(x) = |x|
g(x) = -|x|
Reflection of the x-axis
If I only have the points (-1, 2) and (2, 1), is the domain discrete or continuous?
Discrete
Evaluate the function when x = -1
f(x) = -|-x|
-1
What is the x intercept?
(1/4)x + (1/2)y = 4
x = 16
What is the slope of the line that the following points lie on?
(-2, -2), (-4, -1)
slope = -1/2
Describe the transformation from the graph of f to g.
f(x) = |x|
g(x) = |2x|
Is the domain for f(x) = |x| continuous or discrete?
Continuous
g(x) = 20 + |-x - 1|
g(4) = 25
What is the y-intercept?
x = 2
What is the slope of the line that the following points lie on?
(0, 0), (0, -1)
slope = undefined