Question

A Labrador leaps over a hurdle. The function f(t) represents the height of the Labrador above the ground, in inches, at t seconds:

f(t) = -16t2 + 26t

A foxhound jumps over the same hurdle. The table shows the height of the foxhound above the ground g(t), in inches, at t seconds:

Time (t) g(t)
0 0
0.4 6.24
0.6 7.44
0.7 7.56
0.8 7.36
1.0 6
1.4 0


Part A: Compare and interpret the maximum of f(t) and g(t)? (4 points)
Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent? (4 points)

Answer 1

Part C: Determine the y-intercepts of both functions, and explain what this means in the context of the problem. (2 points)

Answer 2

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