U got a picture to show us?
Answer:
C. f has a relative maximum at x = 1.
Step-by-step explanation:
A. False. f(x) is concave down when f"(x) is negative. f"(x) is the tangent slope of the graph, f'(x). So f(x) is concave down between x = -1.5 and x = 1.5.
B. False. f(x) is decreasing when f'(x) is negative. So f(x) is decreasing in the intervals x < -3 and 1 < x < 2.
C. True. f(x) has a relative maximum where f'(x) = 0 and changes from + to -.
Answer: True, False, False, False, False
<u>Step-by-step explanation:</u>
a) 5x - 7(x - 1)
5x - 7x + 7
-2x + 7 ⇒ a = -2, b = 7 <em>One Solution</em>
b) 3(x - 5) - 7
3x - 15 - 7
3x - 22 ⇒ a = 3, b = -22 <em>One Solution</em>
c) 2 - 7x + 3 + 4x
4x - 7x + 3 + 2
-3x + 5 ⇒ a = -3, b = 5 <em>One Solution</em>
d) -3(x - 3) - 1
-3x + 9 - 1
-3x + 8 ⇒ a = -3, b = 8 <em>One Solution</em>
e) -5x + 2 + 2x + 4
-5x + 2x + 2 + 4
-3x + 6 ⇒ a = -3, b = 6 <em>One Solution</em>
The answer should be 5.5 because you have to divide it. The fraction would be 5 over 10