Question to test your Piecewise Functions knowledge

Question

Consider the function $h(t) = 3$ . Let $C(x)$ represent the area bounded by the lines $y=h(t)$ and $y equals 0$ from $t=0$ to $t=x$ . Find $C(4)$ .

Graph showing y=h(t) as a horizontal line at y=3 from t=0 to t=12.

Accepted Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>12</mn></mrow><annotation encoding="application/x-tex">12</annotation></semantics></math>12﻿

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>6</mn></mrow><annotation encoding="application/x-tex">6</annotation></semantics></math>6﻿

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>9</mn></mrow><annotation encoding="application/x-tex">9</annotation></semantics></math>9﻿

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>15</mn></mrow><annotation encoding="application/x-tex">15</annotation></semantics></math>15﻿

Piecewise Functions: Study with Video Lessons, Practice Problems & Examples

Consider the function ﻿h(t)=3h(t) = 3h(t)=3﻿. Let ﻿C(x)C(x)C(x)﻿ represent the area bounded by the lines ﻿y=h(t)y=h(t)y=h(t)﻿ and y=0y=0 from ﻿t=0t=0t=0﻿ to ﻿t=xt=xt=x﻿. Find ﻿C(4)C(4)C(4)﻿.

Consider the function $h(t) = 3$ . Let $C(x)$ represent the area bounded by the lines $y=h(t)$ and $y equals 0$ from $t=0$ to $t=x$ . Find $C(4)$ .