QuestionIdentify the graph of the constant function $f(x)=3$ and its parent function.

Studdy Solution

STEP 1

Assumptions1. The function given is $f(x) =3$ . We are looking for the graph of this function and its parent function.
3. The parent function of a constant function $f(x) = c$ is $f(x) =0$

STEP 2

The function $f(x) =$ is a constant function. This means that for any value of $x$ , the function will always output the value.

STEP 3

To graph the function $f(x) =3$ , we draw a horizontal line at $y =3$ on the Cartesian plane.

STEP 4

The parent function of $f(x) =3$ is $f(x) =0$ . This is because the general form of a constant function is $f(x) = c$ , where $c$ is a constant. When $c =0$ , we get the parent function.

STEP 5

To graph the parent function $f(x) =0$ , we draw a horizontal line at $y =0$ on the Cartesian plane.
So, the graph of the function $f(x) =3$ is a horizontal line at $y =3$ , and the graph of its parent function $f(x) =0$ is a horizontal line at $y =0$ .

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QuestionIdentify the graph of the constant function $f(x)=3$ and its parent function.

Studdy Solution

STEP 1

Assumptions1. The function given is $f(x) =3$ . We are looking for the graph of this function and its parent function.
3. The parent function of a constant function $f(x) = c$ is $f(x) =0$

STEP 2

The function $f(x) =$ is a constant function. This means that for any value of $x$ , the function will always output the value.

STEP 3

To graph the function $f(x) =3$ , we draw a horizontal line at $y =3$ on the Cartesian plane.

STEP 4

The parent function of $f(x) =3$ is $f(x) =0$ . This is because the general form of a constant function is $f(x) = c$ , where $c$ is a constant. When $c =0$ , we get the parent function.

STEP 5

To graph the parent function $f(x) =0$ , we draw a horizontal line at $y =0$ on the Cartesian plane.
So, the graph of the function $f(x) =3$ is a horizontal line at $y =3$ , and the graph of its parent function $f(x) =0$ is a horizontal line at $y =0$ .

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QuestionIdentify the graph of the constant function f(x)=3f(x)=3f(x)=3 and its parent function.

Studdy Solution

STEP 1

Assumptions1. The function given is f(x)=3f(x) =3f(x)=3 . We are looking for the graph of this function and its parent function.3. The parent function of a constant function f(x)=cf(x) = cf(x)=c is f(x)=0f(x) =0f(x)=0

STEP 2

The function f(x)=f(x) =f(x)= is a constant function. This means that for any value of xxx, the function will always output the value.

STEP 3

To graph the function f(x)=3f(x) =3f(x)=3, we draw a horizontal line at y=3y =3y=3 on the Cartesian plane.

STEP 4

The parent function of f(x)=3f(x) =3f(x)=3 is f(x)=0f(x) =0f(x)=0. This is because the general form of a constant function is f(x)=cf(x) = cf(x)=c, where ccc is a constant. When c=0c =0c=0, we get the parent function.

STEP 5

To graph the parent function f(x)=0f(x) =0f(x)=0, we draw a horizontal line at y=0y =0y=0 on the Cartesian plane.So, the graph of the function f(x)=3f(x) =3f(x)=3 is a horizontal line at y=3y =3y=3, and the graph of its parent function f(x)=0f(x) =0f(x)=0 is a horizontal line at y=0y =0y=0.

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QuestionIdentify the graph of the constant function $f(x)=3$ and its parent function.

Assumptions1. The function given is $f(x) =3$ . We are looking for the graph of this function and its parent function.
3. The parent function of a constant function $f(x) = c$ is $f(x) =0$

The function $f(x) =$ is a constant function. This means that for any value of $x$ , the function will always output the value.

To graph the function $f(x) =3$ , we draw a horizontal line at $y =3$ on the Cartesian plane.

The parent function of $f(x) =3$ is $f(x) =0$ . This is because the general form of a constant function is $f(x) = c$ , where $c$ is a constant. When $c =0$ , we get the parent function.

To graph the parent function $f(x) =0$ , we draw a horizontal line at $y =0$ on the Cartesian plane.
So, the graph of the function $f(x) =3$ is a horizontal line at $y =3$ , and the graph of its parent function $f(x) =0$ is a horizontal line at $y =0$ .