taylorghalley
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Write a function rule for the statement.
1.)the output is half of the input.
2.)the output is one more than twice the input.
3.)the output is the cube if the input.
4.)the output is six times the input

Sagot :

The correct answers are:
1) f(x)=1/2x;
2) f(x)=2x+1;
3) f(x)=x^3;
4) f(x)=6x.

Explanation:
Let x be the input. In function notation, the output is denoted by f(x).

For #1, since the output is half of the input, we want to take half of x; this would give us
f (x)=[tex] \frac{1}{2} [/tex]x.

For #2, twice the input is 2x; one more than this is 2x+1, which gives us
f (x)=2x+1.

For #3, the cube of the input is x³, which gives us
f (x)=x³.

For #4, six times the input is 6x, which gives us
f (x)=6x.

Answer:

1)

[tex]f(x)=\dfrac{x}{2}[/tex]

2)

[tex]f(x)=2x+1[/tex]

3)

[tex]f(x)=x^3[/tex]

4)

[tex]f(x)=6x[/tex]

Step-by-step explanation:

We have to write the function rule for the following statements:

Let 'x' be the input and f(x) represent the output value.

1)

The output is half of the input.

[tex]f(x)=\dfrac{x}{2}[/tex]

2)

The output is one more than twice the input.

the function in this case is given as firstly we will take two times of the input and then add one to it to obtain the output.

i.e. [tex]f(x)=2x+1[/tex]

3)

The output is the cube if the input.

i.e. the function is given as:

[tex]f(x)=x^3[/tex]

4)

The output is six times the input.

i.e. we have to multiply the input by 6.

i.e. [tex]f(x)=6x[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.