What are the domain and range of an absolute value parent function?

What are the domain and range of an absolute value parent function?

The domain of the graph is set of all real numbers and the range is y≥k when a>0. The domain of the graph is set of all real numbers and the range is y≤k when a<0.

Does absolute value parent function have a minimum?

The Absolute Value Function: f(x)=|x| Similar to the quadratic, this parent function is symmetric in respect to the y-axis and has a minimum y-value.

What is the range of the parent linear function?

A linear parent function is the equation y = x or f(x) = x. Here is the graph for this function. We only show 7 points. However, the graph has infinitely many points. Therefore, the domain is the set of real numbers and the range is the set of real numbers.

What is the parent function of absolute value equation?

The absolute value function is defined by f (x) = |x|. This is the absolute value parent function. The graph of y = a|x| is graph of y = |x| vertically stretched or compressed depending on the |a|.

What is the maximum of an absolute value function?

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

What is the range of an exponential parent function with base 2?

The domain off(x)=2x f ( x ) = 2 x is all real numbers, the range is(0,∞), and the horizontal asymptote isy=0. y = 0. To get a sense of the behavior of exponential decay, we can create a table of values for a function of the formf(x)=bx f ( x ) = b x whose base is between zero and one.

What is the range of a function example?

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,…} then the range is {1,4,9,…}

What are the domain and range of the quadratic parent function?

The domain of a function is the set of all real values of x that will give real values for y. The range of a function is the set of all real values of y that you can get by plugging real numbers into x. The quadratic parent function is y = x2.