All points of the step function f(x) are graphed.

On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).

What is the domain of f(x)?

{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}

All points of the step function fx are graphed On a coordinate plane a step graph has horizontal segments that are each 2 units long The left end of each segmen class=

Respuesta :

The domain of given function f(x) is {x | -4 < x ≤ 4}

What is the step function?

"It is a piecewise-defined function in which every piece is a horizontal line segment or a point."

What is domain of function?

"It is the set of value for which the function is well defined."

For given question,

The left-most segment goes from (-4, 1) to (-2, 1).

The right-most segment goes from (2, 4) to (4, 4).

From the graph of step function,

we can observe that a function f(x) takes input value (x-coordinate value) from -4 to 4.

But there is open circle at -4.

This means a function does not take the value x = -4, but all values which are greater than -4.

Therefore, the domain of given function f(x) is {x | -4 < x ≤ 4}

Learn more about the domain of a function here:

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