Use a graphing utility to graph the function over the indicated ...

[Bob-Dole]

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

f(x) = x³ - 3x + 1, (-2, 2)
◦ local maximum at (-1, 3)
local minimum at (1, -1)
increasing on (-1, 1)
decreasing on (-2, -1) and (1, 2)
◦ local maximum at (1, -1)
local minimum at (-1, 3)
increasing on (-2, -1)
decreasing on (-1, 1)
◦ local maximum at (1, -1)
local minimum at (-1, 3)
increasing on (-2, -1) and (1, 2)
decreasing on (-1, 1)
◦ local maximum at (-1, 3)
local minimum at (1, -1)
increasing on (-2, -1) and (1, 2)
decreasing on (-1, 1)

[gasdhashg]

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Only 32% of students answer this correctly

[kamilo84]

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

f(x) = x³ - 4x² + 6;  (-1, 4)

[nanny]

local maximum at (0, 6)
local minimum at (2.67, -3.48)
increasing on (-1, 0) and (2.67, 4)
decreasing on (0, 2.67)

[Shelles]

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

f(x) = x⁵ - x²;  (-2, 2)

[flannelavenger]

local maximum at (0, 0)
local minimum at (0.74, -0.33)
increasing on (-2, 0) and (0.74, 2)
decreasing on (0, 0.74)

[chads108]

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

f(x) = -0.3x³ + 0.2x² + 4x - 5;  (-4, 5)

[elizabethrperez]

local maximum at (2.34, 1.61)
local minimum at (-1.9, -9.82)
increasing on (-1.9, 2.34)
decreasing on (-4, -1.9) and (2.34, 5)

[melina_rosy]

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

f(x) = 0.15x⁴ + 0.3x³ - 0.8x² + 5;  (-4, 2)

[akpaschal]

local maximum at (0, 5)
local minima at (-2.55, 1.17) and (1.05, 4.65)
increasing on (-2.55, 0) and (1.05, 2)
decreasing on (-4, -2.55) and (0, 1.05)