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The rational function is represented by which graph?

Which function has vertical asymptotes with equations and ?

Which function has a point of discontinuity at ?

Which function has a y-intercept of ?

Which of the reciprocal functions has a vertical asymptote with equation ?

What is the equation for the horizontal asymptote of the graph of the function shown?

Which rational function has the following characteristics?
• a vertical asymptote with equation
• a horizontal asymptote with equation
• a point of discontinuity at

Which function has a graph in the shape of a parabola?

Solve the equation .

Solve the equation .

a) Determine an equation in the form for a function with a vertical asymptote at and a y-intercept of .
b) Sketch the graph of the function.

Determine the approximate slope of the tangent to the curve at , to one decimal place.

Consider the function .
a) Determine the key features of the function:
      i) domain and range
      ii) intercepts
      iii) equations of any asymptotes
b) Sketch the graph of the function.

Ingrid is docking a motorboat. She turns off the power and lets the boat coast toward the dock. The distance, d, in metres, between the boat and the dock as a function of time, t, in seconds, is given by .
a) What is the average velocity of the boat during the time interval from when Ingrid turns the boat off to when it meets the dock?
b) Determine the velocity of the boat when Ingrid turns off the power, to one decimal place.
c) Determine the velocity of the boat when it meets the dock, to one decimal place.
d) Sketch the graph of the function. On the same set of axes, sketch the graph of the speed of the boat in relation to the time.

a) Determine an equation in the form for a function that has asymptotes with equations and and a y-intercept of 2.
b) Sketch the graph of your function.