Question

1 Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = x^3 - 6x^2 + 19x (x, y) = ( ) Describe the concavity. Concave upward: (-inf, 2) (-inf, -2) (2, inf) (-2, inf) none of these Concave downward: (-inf, 2) (-inf, -2) (2, inf) (-2, inf) none of these 2 Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = 14 / (x^2 + 3) concave upward concave downward 3 Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = (x + 7) / (x - 3) concave upward concave downward 4 Locate the relative extremum and point of inflection. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.) y = 7x - ln(7x) relative extremum (x, y) = ( ) point of inflection (x, y) = ( )

          1 Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)
f(x) = x^3 - 6x^2 + 19x
(x, y) = (
)
Describe the concavity.
Concave upward:
(-inf, 2)
(-inf, -2)
(2, inf)
(-2, inf)
none of these
Concave downward:
(-inf, 2)
(-inf, -2)
(2, inf)
(-2, inf)
none of these
2 Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f(x) = 14 / (x^2 + 3)
concave upward
concave downward
3 Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f(x) = (x + 7) / (x - 3)
concave upward
concave downward
4 Locate the relative extremum and point of inflection. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.)
y = 7x - ln(7x)
relative extremum (x, y) = (
)
point of inflection (x, y) = (
)

1 Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)
f(x) = x^3 - 6x^2 + 19x
(x, y) = (
)
Describe the concavity.
Concave upward:
(-inf, 2)
(-inf, -2)
(2, inf)
(-2, inf)
none of these
Concave downward:
(-inf, 2)
(-inf, -2)
(2, inf)
(-2, inf)
none of these
2 Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f(x) = 14 / (x^2 + 3)
concave upward
concave downward
3 Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f(x) = (x + 7) / (x - 3)
concave upward
concave downward
4 Locate the relative extremum and point of inflection. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.)
y = 7x - ln(7x)
relative extremum (x, y) = (
)
point of inflection (x, y) = (
)

Added by Hannah R.

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