A domain of a function f(x) is all the x-values for which the function is defined. Its opposite y-values is called what?
Range
What is the key feature of the graph.What is the key feature of the graph.
Increase/Increasing
What is the transformation for this function f(x + h) / f(x - h)
Translation (Left or Right)
What letter helps you describe an absolute value function graph.
V-shape
Parabola
What do you call the highest or lowest point on the graph of an absolute value function or a quadratic function.
Vertex
What do you call the symbols to describe sets with a "less than or equal to" or a "greater than or equal to"
Brackets
What is the transformation for this function f(x) + k / f(x) - k
Translation (Up or Down)
What is the symbol used in absolute value.
| |
f(x) = ax2+bx+c
A function f(x) has a ____ at each value of x for which f(x) = 0
Zero
A function is ______ over an open interval provided the y-coordinates of the points in the interval get smaller, or equivalently the graph gets lower as it moves from left to right over the interval.
Decrease/Decreasing
What do you call the transformation of a, if a > 1.
Vertical Stretch
A(n) ____ is the simplest example of a family of functions that has the defining characteristic of the family. example: f(x) = |x|
Parent Function
Describe the transformation
Translated 3 units right
Translates 1 unit up
A maximum or minimum may occur at a ____ point or at the endpoint of an interval.
Turning
The ____ value of a graph is the point on the graph where the y-coordinate has the largest value.
Maximum
What do you call the transformation of -b when b > 0.
Reflection across the y-axis
Describe the end behavior of the graph.
-∞ -> + ∞
+ ∞ -> + ∞
What does the transformation
f(x)↦ 3f(x) do to the graph of f(x).
What do you call the ratio of the change in function values, f(b) - f(a), to the corresponding change in the x-values, b-a.
Average rate of change
The ____ and ____ of a function are, respectively, the largest and smallest value taken by the function.
Maximum/Minimum value.
What do you call the transformation of -a, if a > 0.
Reflection across the x-axis
Find g(x), where g(x) is the translation 9 units left and 8 units up of f(x)=|x|
What is the function?
g(x)=|x+9|+8
Find g(x), where g(x) is the reflection across the x-axis of f(x)=x2.
-x2