Question: 1. Sketch a graph of each function. Label the y-intercept. State the domain, range, and equations of the asymptotes. b) g(x) =1/ x- 4 d)
1. Sketch a graph of each function. Label the y-intercept. State the domain, range, and equations of the asymptotes.
b) g(x) =1/ x- 4
d) k(x) = -1 / x+ 4
g) p(x) =1 (x-1 /4)
h) q(x)= -3 /(x+1 /2)
2. Determine the equation in the form f(x)=1/ kx - c, for the function with a vertical asymptote at x -1 and a y-intercept at -1.
3. Determine the equation in form f(x)=1/ kx - c, for the function with a vertical asymptote at
x= -1 and a y intercept at -0.25?
4. The time required to fly from one location to another is inversely proportional to the average speed. When the average speed to fl y from Qubec City to Vancouver is 350 km/h, the fl ying time is 11 h.
a) Write a function to represent the time as a function of the speed.
b) Sketch a graph of this function.
c) How long would the trip from Qubec to Vancouver take at an average speed of 500 km/h? d) Describe the rate of change of time as the average speed increases.
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