The function h(t) --4.922 +17.69+575 is used to model the height of an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.

domain: [0, 12.76]

range: (1.80, 590.90)

domain: [1.80,12.76]

range: [1.80, 590.90)

domain: [1.80,12.76]

range: [0, 590.90]

domain: [0, 12.76]

range: [0,590.90]

The correct option is;

Domain: [1.8, 12.76]

Range: [0, 590.90]

Step-by-step explanation:

The given function is h(t) = -4.92·t² + 17.69·t + 575

The maximum height reached is found from equating the derivative of the function to 0 as follows;

d(h(t))/dt = d(4.92·t² + 17.69·t + 575)/dt = -2×4.92·t + 17.69

d(h(t))/dt = 0 gives;

-2×4.92·t + 17.69 = 0

-9.84·t + 17.69 = 0

-9.84·t  =  -17.69

t = -17.69/-9.84 = 1.79 ≈ 1.8

h(1.8) = -(4.92×1.8²) + 17.69×1.8 + 575 = 590.9

Also we have from equating the function to zero

h(t) = -4.92·t² + 17.69·t + 575 = 0

(t - 12.75)(t + 9.2) = 0

Therefore, when t = 12.76 h(t) = 0,

Therefore, we have; the domain which is the set of values of the independent variables is [1.8, 12.76]

The range = [0, 590.90].

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.