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the range is all real numbers
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What is the parent function of absolute value?
apex what is the range of the absolute... answer is nonnegative real num...
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.
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".
Are characteristics of the graph of the absolute value parent function check all that apply?
The graph of the absolute value parent function, ( f(x) = |x| ), has a V-shape with its vertex at the origin (0, 0). It is symmetric about the y-axis, indicating that it is an even function. The graph consists of two linear segments that extend infinitely in the positive y-direction, with a slope of 1 for ( x \geq 0 ) and a slope of -1 for ( x < 0 ). Additionally, it never dips below the x-axis, as absolute values are always non-negative.
What is the parent function of absolute value?
apex what is the range of the absolute... answer is nonnegative real num...
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.
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
Is the absolute value of a characteristic function itself a characteristic function?
No, There exists a counter example in the page 244 of the book Grimmett & Stirzaker, One thousand exercises in probability. The example is a Bernoulli random variable with parameter 1/3.
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".
