Question

PLEASE HELP!!!

Answer 1

An 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) = -16t^2 + 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 5.44
0.6 6.24
0.7 6.16
0.8 5.76
1.0 4
1.2 0


Part A: Compare and interpret the maximum of f(t) and g(t)?

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

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

Answer 2

Can anyone explain this please? :(

Answer 3

A : find the f(t) answers of the same (t) values that were used in calculating g(t) and then compare those two answers

B : for x intercept, you have to draw a graph and see the point at which the lines for f(t) and g(t) cut the x-axis, hence getting your x-intercepts for each, after that just compare between the two to see which one has a higher x-intercept.

C : the point at which the lines cut the y-axis are the y-intercepts, so you can find them quite easily based on the graph that you drew

or for B and C, rather than draw a graph, i will tell you an easier way
for B : i said that the point at which the line crosses the X-AXIS is the x-intercept right?
at this point, doesnt it mean that Y=0 ? so simply look for y=0 in your values and the corresponding x-value is your x-intercept

for C : i said that the point at which the line crosses the Y-AXIS is the y-intercept right?
at this point, doesnt it mean that X=0? so simply look for x=0 in your values and the corresponding y-value is your y-intercept

Answer 4

Sorry OS finally loaded...Wait I don't get part A at all, can you show me how?

Answer 5

@Purplerainbowcherry ?

Answer 6

A : for example take 0.4 as (t) and plug it into the f(t) equation :
f(t) = -16t^2 + 26t
so f(t) = -16(0.4)^2 +26(0.4) = 7.84 which is clearly different than the value for g(t) for 0.4
so you do the same for the rest of the values of (t)