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The function h(t) = −5t2 + 20t shown in the graph models the curvature of a satellite dish:



What is the domain of h(t)?
x ≥ 0
0 ≤ x ≤ 4
0 ≤ x ≤ 20
All real numbers

Respuesta :

Answer:

It's B. 0 ≤ x ≤ 4

Step-by-step explanation:

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MrRoyal

The domain of the function is 0 ≤ x ≤ 4;

Check below on how to determine the domain of the function

What is domain?

The domain of a function is the set of input values the function can take

The function is given as:

h(t) = −5t² + 20t

Differentiate the function

h'(t) = -10t + 20

Set to 0

-10t + 20 = 0

Subtract 20 from both sides

-10t = -20

Divide both sides by 2

t = 2

Multiply by 2

2t = 4

This means that the possible values of t are 0 to 4

Hence, the domain of the function is 0 ≤ x ≤ 4

Read more about domain at:

https://brainly.com/question/1770447

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