Solve the problem.Identify the incorrect statements about limits.I. The number L is the limit of f(x) as x approaches x0 if f(x) gets closer to L as x approaches x0.II. The number L is the limit of f(x) as x approaches x0 if, for any ? > 0, there corresponds a ? > 0 such that
< ? whenever 0 <
< ?.III. The number L is the limit of f(x) as x approaches x0 if, given any ? > 0, there exists a value of x for which
< ?.
A. I and III
B. II and III
C. I and II
D. I, II, and III
Answer: A
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Write a short statement that expresses a possible function between the given variables.(slope of hill, speed of bicycle)
A. If you are coasting down a hill on a bicycle, the narrower the hill, the faster you will coast. B. If you are coasting down a hill on a bicycle, the wider the hill, the slower you will coast. C. If you are coasting down a hill on a bicycle, the steeper the hill, the slower you will coast. D. If you are coasting down a hill on a bicycle, the steeper the hill, the faster you will coast.
Provide an appropriate response.Graph the solution to 3x + 1 ? 13 or x - 2 ? 5.
A.
B.
C.
D.
Use the even-odd identities to find the exact value of the expression. sin
A. -1 B. 1 C. undefined D. 0
Compute the average rate of change of f from x1 to x2. Round your answer to two decimal places whenappropriate. Interpret your result graphically.f(x) = 6x + 4, x1= -4 and x2= -1
A. 6; the slope of the line passing through (-4, f(-4)) and (-1, f(-1)) is 6. B. 8; the slope of the line passing through (-4, f(-4)) and (-1, f(-1)) is 8. C. 5; the slope of the line passing through (-4, f(-4)) and (-1, f(-1)) is 5. D. 7; the slope of the line passing through (-4, f(-4)) and (-1, f(-1)) is 7.