Question

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

Answer 1

Sure, let's write the function rules for each of the given statements:

1. **The output is half of the input.**
\[
f(x) = \frac{1}{2}x \quad \text{or} \quad f(x) = 0.5x
\]

2. **The output is three less than the input.**
\[
f(x) = x - 3
\]

3. **The output is the cube of the input.**
\[
f(x) = x^3
\]

4. **The output is six times the input.**
\[
f(x) = 6x
\]

5. **The output is one more than twice the input.**
\[
f(x) = 2x + 1
\]

These function rules describe how to transform an input \( x \) into the corresponding output.