Intermediate Value Theorem
INSTRUCTIONS
 MATH 107 in the subject heading.
 Consider the function ????(????) = −????2 + 14???? − 48
Solve Problems 14:  Problem 1: Find the vertex.
 Problem 2: Determine whether there is maximum or minimum value and find that value.
 Problem 3: Solve ????(????) = 0.
 Problem 4: Solve ????(????) ≥ 0.
 Problem 5: Use the Intermediate Value Theorem to determine if the function: ????(????)=???????? −???????????? +????−????
has a zero in the interval [3, 1].  Problem 6: The time t that it takes to get to school varies inversely with your average speed s.
 (a) Suppose that it takes you 40 minutes to get to school when your average speed is 30 miles per hour. Express the driving time to school in terms of average speed.
 (b) Suppose that your average speed to school is 40 miles per hour. How long will it take you to get to school?
 The following is needed to solve Problems 710.
 Consider the function:
????(????)= 3????2−3???? ????2 + ???? − 12  Problem 7: Find the domain of f(x).
 Problem 8: Find the zeros of f(x).
 Problem 9: Find the vertical asymptote(s).
 Problem 10: Find the horizontal asymptote(s).

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