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Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?

(1, ∞)
(–∞, –0.7)
(–0.7, 1)
(–1, 0.7)

1 Answer

1 vote

Answer:

Option 3 - (-0.7,1)

Explanation:

Given : Function
y=2x^3-x^2-4x+5

To find : Over which interval is the function decreasing?

Solution :

First we plot the graph using graphing calculator.

Refer the attached figure below.

Now, Examining the graph

From
-\infty to (-0.667,6.63) the graph is increasing as the curve is increasing.

From (-0.667,6.63) to (1,2) the graph decreasing as the curve is decreasing.

From (1,2) to
\infty the graph is increasing as the curve is increasing.

So, The interval in which the function is decreasing is given by (-0.667,1)

Round to nearest tenth, (-0.7,1)

Therefore, Option 3 is correct.

Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval-example-1
User Suhrob
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