This is the Greatest Integer Function, denoted by $y = [x]$ . For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest integer.

a. FALSE. Because f(4.9) will round down to 4.
b. TRUE.
c. no it's not the absolute value function. that has V-shape
d. TRUE.
e. FALSE. because for every unique x-value you don't always get a unique y value. .... f(5)=5, f(5.1)=5, f(5.76)=5, etc.

8 0

3 years ago

While hovering near the top of Ribbon Falls in Yosemite National Park at 1600 feet, a

ella [17]

Answer:

a)The sunglasses hit the ground at t=0 seconds

b)The maximum height h(t) = 1600feet

Step-by-step explanation:

Step(i):-

Given that the polynomial function

h(t) = -16 t² + 1600 ...(i)

Differentiating equation (i) with respective to 't' , we get

$\frac{dh}{dt} = -16(2t)+0$

Equating zero

$\frac{dh}{dt} = 0$

⇒ -32t =0

⇒ t =0

The sunglasses hit the ground at t=0 seconds

Step(ii):-

Again differentiating with respective to 't', we get

$\frac{d^{2} h}{dt^{2} } = -32(1) = -32$

The maximum height at t=0

h(t) = -16 t² + 1600

h(t) = 1600feet

4 0

3 years ago