A.
Determine the vertex and interpret the meaning of (h,k) in the problem situation.
a.
(48,29.5) – This number represents how fast or slow the vehicle must go to have the optimal miles per gallon. X represents the speed of the vehicle, Whilst Y represents the Miles per gallon.
B.
Determine the x- and y- intercepts of the function. Interpret the meaning of each in the problem situation. Are all intercepts meaningful to the given problem? Explain.
a.
X-intercepts = {15.541,80.459}
b.
Y-intercepts = (0, -35.012) c.
All intercepts are meaningful in the equation. Even with the y-intercept being negative. If a vehicles engine is left running, even without the whole of the vehicle moving, the vehicle can still lose gas.
C.
Many real-world applications have a restricted domain and range. Determine an appropriate domain and range for the problem you chose. a.
Domain: 0<x<81
b.
Range: -36<0<30
Question 2:
