Write an equation in slope intercept form of the line passing through (8,1) and (1,8)
1 answer:
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Answer:
<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear relationship between two variables d and t can be written in the form
Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is
Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:
Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases
Part a)
a) The given function is
We let
Interchange x and y.
Solve for y;
Part b) The range of f(x) refers to y-values for which f(x) exists.
The range of f(x) is
This is because the function is within y=-3 and y=3.
c) The range of
is
The domain is -3≤x≤3
This is because the domain and range of a function and its inverse swaps.
Part d) The graph is shown in the attachment.
