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apex what is the range of the absolute... answer is nonnegative real num...
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Is the y intercept the same as a absolute value parent function?
No, the y-intercept is not the same as the absolute value parent function. The absolute value parent function, represented as ( f(x) = |x| ), has a vertex at the origin (0, 0), which serves as its y-intercept. While the absolute value function does have a specific y-intercept, the term "y-intercept" generally refers to the point where any function crosses the y-axis, which can vary depending on the function in question.
Which is not a characteristic of the absolute value parent function?
the range is all real numbers
What are the domain and range of the absolute value parent function?
The domain of the absolute value parent function, ( f(x) = |x| ), is all real numbers, expressed as ( (-\infty, \infty) ). The range is all non-negative real numbers, represented as ( [0, \infty) ), since the absolute value cannot be negative.
What do the absolute value of a function do to the graph of that function?
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
What are the characteristics of the graph of the absolute value parent function?
The graph of the absolute value parent function, ( f(x) = |x| ), has a distinct V-shape that opens upwards. It is symmetric about the y-axis, meaning it is an even function. The vertex of the graph is at the origin (0, 0), and the graph consists of two linear pieces: one with a slope of 1 for ( x \geq 0 ) and another with a slope of -1 for ( x < 0 ). The function is continuous and has a range of ( [0, \infty) ).
Is the y intercept the same as a absolute value parent function?
No, the y-intercept is not the same as the absolute value parent function. The absolute value parent function, represented as ( f(x) = |x| ), has a vertex at the origin (0, 0), which serves as its y-intercept. While the absolute value function does have a specific y-intercept, the term "y-intercept" generally refers to the point where any function crosses the y-axis, which can vary depending on the function in question.
Which is not a characteristic of the absolute value parent function?
the range is all real numbers
What are the domain and range of the absolute value parent function?
The domain of the absolute value parent function, ( f(x) = |x| ), is all real numbers, expressed as ( (-\infty, \infty) ). The range is all non-negative real numbers, represented as ( [0, \infty) ), since the absolute value cannot be negative.
What of the following is a key property of the absolute value parent function?
It’s vertex is not at the origin
What is the range of absolute value parent function?
apex what is the range of the absolute... answer is nonnegative real num...
What is an absolute function?
The absolute value function returns the absolute value of a number.
Which of the following is a key property of the absolute value parent function?
Its vertex is not at the origin
What is a function whose rule contains absolute value expressions?
An absolute-value function
Is an absolute value function a polynomial function?
No it is not
If you vertically compress the absolute value parent function f(x) x by a factor of 3 what is the equation of the new function?
f(x) = |f(x)|/3
What do the absolute value of a function do to the graph of that function?
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
Which function has a graph that is increasing only?
Absolute Value function
