For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculat
2 answers:
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<h3>Given:</h3>
- Hemisphere
- Cylinder
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>35.34</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>
Answer:
1. x=0
2. x>0
3. X-intercept: (0.5,0) Y-intercept: undefined
4. Compressed horizontally by a factor of 0.25 and shifted 1 unit down.
Step-by-step explanation:
1. The given parent function is
The transformed function is
The vertical asymptote is x=0.
We find this by equating the argument to zero. 4x=0----->x=0
2. The domain is all values of x that make the function defined.
The domain is
3. To find x-intercept we substitute g(x)=y=0 and solve for x.
x=0.5
The x-intercept is (0.5,0)
The y-intercept is undefined because we have to substitute x=0, which is not in the domain of g(x).
4. We can rewrite the transformed function in terms of f(x) as
This means there is a horizontal compression by and shift 1 unit down of the parent function.