I will give brainliest and 30 points
2 answers:
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Answer:
2.5
Step-by-step explanation:
f'(x) is non-negative, so f(x) is monotonic and increasing. Its minimum value on the interval of interest will be less than f(0) by the amount of the integral of f'(x) from -3 to 0.
That integral is the area of the triangle bounded by the portion of the curve from (-3, 3) to (0, 0) and the x-axis. The area is ...
A = (1/2)bh = (1/2)(3)(3) = 4.5
So, ...
f(-3) = f(0) -4.5 = 7 -4.5
f(-3) = 2.5
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The red curve in the attached graph is f(x). Its value at -3 is 2.5.
