The function f(x) is the height of a model rocket x seconds after launch.

the rocket reaches its maximum height in 2.5 seconds and hits the ground at 5 seconds.
what is the practical domain for the function f(x)?

answers:

[0, 5]

whole numbers in [0, 5]

all real numbers

all integers in [0, 5

The practical domain for the function f(x) will be [0,5].

Step-by-step explanation:

A model rocket is launched from the ground and its height from the ground is given by f(x), t seconds after its launch.

It is given that the rocket reaches maximum height at t = 2.5 seconds and comes back to the ground after t = 5 seconds.

So, at t = 0 seconds, the rocket was at the ground and hence, t can not be negative and after t = 5 seconds the rocket comes back to the ground and hence, t can not be greater than 5 seconds.

Therefore, the practical domain for the function f(x) i.e. the values of t lies in the interval [0,5]. (Answer)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

honesty mood

step-by-step explanation: