Answer:
a)
![f(x) = 6x](https://img.qammunity.org/2021/formulas/mathematics/college/vmc7rn4q6c66okl7xqknx19e3w1rx7jhiq.png)
if x = input
then the function of the input is to "multiply the input by 6"
b)
![f(x) = 2x - 3](https://img.qammunity.org/2021/formulas/mathematics/college/h0c19pe7weqycha37g4ev63kah9hj7p1x4.png)
the function of the input = two multiply by the input minus six
c)
![h(t) = t^3 - 5](https://img.qammunity.org/2021/formulas/mathematics/college/gxkil7i9evan39qm4fr91ta7ncaz5hd72j.png)
the function of the input = the cube of the input minus five
Explanation:
Given that:
a)
![f(x) = 6x](https://img.qammunity.org/2021/formulas/mathematics/college/vmc7rn4q6c66okl7xqknx19e3w1rx7jhiq.png)
b)
![f(x) = 2x - 3](https://img.qammunity.org/2021/formulas/mathematics/college/h0c19pe7weqycha37g4ev63kah9hj7p1x4.png)
c)
![h(t) = t^3 - 5](https://img.qammunity.org/2021/formulas/mathematics/college/gxkil7i9evan39qm4fr91ta7ncaz5hd72j.png)
The objective is to state in words the rule defined by each of the functions
We are being given the first question as a sample that:
a)
![f(x) = 6x](https://img.qammunity.org/2021/formulas/mathematics/college/vmc7rn4q6c66okl7xqknx19e3w1rx7jhiq.png)
if x = input
then the function of the input is to "multiply the input by 6"
b)
![f(x) = 2x - 3](https://img.qammunity.org/2021/formulas/mathematics/college/h0c19pe7weqycha37g4ev63kah9hj7p1x4.png)
the function of the input = two multiply by the input minus six
c)
![h(t) = t^3 - 5](https://img.qammunity.org/2021/formulas/mathematics/college/gxkil7i9evan39qm4fr91ta7ncaz5hd72j.png)
the function of the input = the cube of the input minus five