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Alona [7]
3 years ago
12

The graph of y = f ′(x), the derivative of f(x), is shown below. Given f(2) = 8, evaluate f(–2).

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The graph of the derivative of f(x) , say, y = f'(x), is symmetry about the origin.

so, it is an odd function.

So, f(x) must be an even function.

f(x)=f(-x)\\\\f(2)=f(-2)=8

So, the value of f(-2) is equal to 8.

Hence, Third option is correct.

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igomit [66]

ANSWER:

a) y = 15x + 75

b) 50 weeks

EXPLANATION:

P A R T   A

2 weeks, 105 dollars --> (2, 105)

5 weeks, 150 dollars --> (5, 150)

<u />

<u>if we use slope intercept form (y=mx+b), we must:</u>

1) find the slope

y2 - y1 -->> 150 - 105 = 45

x2 - x1 -->> 5 - 2 = 3

45/3 = 15

2) find the y intercept

y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b

--------------------------------------------------------------------------------------------

P A R T   B

y = 15x + 75 (substitute the y with 825 because that is the goal)

825 = 15x + 75 (solve normally)

750 = 15x

50 = x

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