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What of the following is a key property of the absolute value parent function?
It’s vertex is not at the origin
Which of the following is a key property of the absolute value parent function?
Its vertex is not at the origin
What is the corner point of the graph of an absolute value equation called?
vertex
Can absolute value functions be onto?
Yes, if the range is the non-negative reals.
The greatest integer function and absolute value function are both examples of functions that can be defined as what?
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.
What of the following is a key property of the absolute value parent function?
It’s vertex is not at the origin
Which of the following is a key property of the absolute value parent function?
Its vertex is not at the origin
What are two absolute value equations that share a vertex?
In math a normal absolute value equations share a vertex.
Which parent functions has a domain and range of all real numbers excluding the origin?
y = 1/x
What is the corner point of the graph of an absolute value equation called?
vertex
What is the parent function of absolute value?
apex what is the range of the absolute... answer is nonnegative real num...
Does the parent function of an absolute value equation have a vertex at 0 0?
Yes. (I would like to note that I am not incredibly familiar with this so if someone with more knowledge on the subject wouldn't mind verifying this that would be great.)
How are piecewise functions related to step functions and absolute value functions?
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
How do you find the vertex of an absolute value function?
There are three main types of vertices for an absolute value function. There are some vertices which are carried over from the function, and taking its absolute value makes no difference. For example, the vertex of the parabola y = 3*x^2 + 15 is not affected by taking absolute values. Then there are some vertices which are reflected in the x-axis because of the absolute value. For example, the vertex of the absolute value of y = 3*x^2 - 15, that is y = |3*x^2 - 15| will be the reflection of the vertex of the original. Finally there are points where the function is "bounced" off the x-axis. These points can be identified by solving for the roots of the original equation. -------------- The above answer considers the absolute value of a parabola. There is a simpler, more common function, y = lxl. In this form, the vertex is (0,0). A more general form is y = lx-hl +k, where y = lxl has been translated h units to the right and k units up. This function has its vertex at (h,k). Finally, for y = albx-hl + k, where the graph has been stretched vertically by a factor of a and compressed horizontally by a factor of b, the vertex will be at (h/b,ak). Of course, you can always find the vertex by graphing, especially since you might not remember the 2nd or 3rd parts above.
How do you use transformations to help graph absolute value functions?
Linear
Which is not a characteristic of the absolute value parent function?
the range is all real numbers
What is the range of absolute value parent function?
apex what is the range of the absolute... answer is nonnegative real num...
