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The graph of function f is shown below. Let h(x)=int_(-4)^(x)f(t)dt. Evaluate h(-2). h(-2)=

The graph of function f f is shown below. Let h(x)=∫−4xf(t)dt h(x)=\int_{-4}^{x} f(t) d t .\newlineEvaluate h(−2) h(-2) .\newlineh(−2)= h(-2)=

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Full solution

Q. The graph of function f f is shown below. Let h(x)=∫−4xf(t)dt h(x)=\int_{-4}^{x} f(t) d t .\newlineEvaluate h(−2) h(-2) .\newlineh(−2)= h(-2)=
  1. Understand h(x)h(x): Understand the definition of h(x)h(x).h(x)h(x) is the definite integral of f(t)f(t) from −4-4 to xx.
  2. Find area from −4-4 to −2-2: Find the area under the graph of f(t)f(t) from −4-4 to −2-2. This area represents h(−2)h(-2).
  3. Calculate total area: Calculate the area under the graph.\newlineAssuming the graph is provided and the area can be calculated directly.

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