Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs. y = 8x – 3x4 - (Express intervals in interval notation. Use symbols and fractions where needed.) 9. point of inflection at x = 40 interval on which function is concave up:

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 109E
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Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs.
y =
8x5 – 3x4
(Express intervals in interval notation. Use symbols and fractions where needed.)
9
point of inflection at x =
40
interval on which function is concave up:
interval on which function is concave down:
Transcribed Image Text:Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs. y = 8x5 – 3x4 (Express intervals in interval notation. Use symbols and fractions where needed.) 9 point of inflection at x = 40 interval on which function is concave up: interval on which function is concave down:
Determine the intervals on which the function is concave up or down and find the points of inflection.
f(x) = 6x³ – 11x² + 7
(Give your answer as a comma-separated list of points in the form (* , *). Express numbers in exact form. Use symbolic
notation and fractions where needed.)
points of inflection:
Determine the interval on which f is concave up.
(Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an
appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is
empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
x E
Determine the interval on which f is concave down.
(Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an
appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is
empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
x E
Transcribed Image Text:Determine the intervals on which the function is concave up or down and find the points of inflection. f(x) = 6x³ – 11x² + 7 (Give your answer as a comma-separated list of points in the form (* , *). Express numbers in exact form. Use symbolic notation and fractions where needed.) points of inflection: Determine the interval on which f is concave up. (Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E Determine the interval on which f is concave down. (Give your answer as an interval in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E
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