What is the slope of line that passes through the points
1 answer:
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Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter , while the output, also known as dependent variable, is often indicated with the letter
.
With this notation, we write , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have , which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.
Answer:
480 feet.
Step-by-step explanation:
We are told that the function models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,
Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.