The h intercept is when time is 0, so if you set t = 0 you obtain
h(0) = 490(0)(0) + 74(0) = 12
So the h intercept is 12 cm.
That is, the log was 12 cm off of the ground.
The t intercept is when the height is 0 so set h=0 and solve (factor) for t
0 = -490t^2 + 75t + 12
THe domain and range must be restricted to the real values of the life scenerio. Thus time must start at 0, so the domain starts at 0.
The range must only go as high as the vertex, but as low as the ground. (unless the frog could jump into a hole, thus below ground, thus below the x-axis)
A frog jumps from a log to the ground below. It’s height, h, in centimeters as a function of time, t, in seconds, can be modeled by h(t) = -490t^2 + 75t + 12
what is the h intercept and the t intercept?
and what is the domain and range of this function and what does it mean in this context.
1 answer
1 answer