Approximate the square root to the nearest integer. 37
2 answers:
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The total time taken for round trip will be: (f+g)(x) = 14x+11
Step-by-step explanation:
Given
In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.
Hence,
The total time taken for round trip will be: (f+g)(x) = 14x+11
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The piece-wise linear functions can be written as follows:
.
.
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:
m = (2 - 3)/(2 - 0) = -0.5.
Hence the rule is:
.
When x = 5, the function is constant at -5, hence:
For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:
m = (2 - 3)/(7 - 6) = -1.
Then:
y = -x + b
When x = 6, y = 3, hence the y-intercept is given as follows:
3 = -6 + b
b = 9.
Hence the rule is:
.
More can be learned about linear functions at brainly.com/question/25537936
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