What is the interval of increase and decrease in the following function.

Increasing at $$\left(-\infty,-6\right)$$ and (-3, 1)

Decreasing at (-6, -3) and $$\left(1,\infty\right)$$

Increasing at (-6, -3) and $$\left(1,\infty\right)$$

Decreasing at $$\left(-\infty,-6\right)$$ and (-3, 1)

Increasing at (-8, -6) and (-3, 1)

Given $$f\left(x\right)=3x^2+12x+15$$ Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Decreasing at $$\left(-\infty, -2\right)$$

Increasing at $$\left(-2,\infty\right)$$

Increasing at $$\left(-\infty,-2\right)$$

Decreasing at $$\left(-2, \infty\right)$$

Increasing at $$\left(-2, -\infty\right)$$

Given $$f\left(x\right)=-4x^2+24x+5$$ Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Increasing at $$\left(-\infty,\ 3\right)$$

Decreasing at $$\left(3,\ \infty\right)$$

Decreasing at $$\left(-\infty,\ 3\right)$$

Increasing at $$\left(3,\infty\right)$$

Increasing at $$\left(-\infty,\ -3\right)$$

Given $$f\left(x\right)=\frac{5}{2}x^2-30x+20$$ Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Decreasing at $$\left(-\infty,\ 6\right)$$

Increasing at $$\left(6,\infty\right)$$

Increasing at $$\left(-\infty,6\right)$$

Decreasing at $$\left(-6,\ \infty\right)$$

Increasing at $$\left(-6,\ -\infty\right)$$

Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Decreasing at $$\left(0,\ \infty\right)$$

Increasing at $$\left(-\infty,\ 0\right)$$

Decreasing at $$\left(-\infty,-1\right)$$

Increasing at $$\left(-1,\infty\right)$$

Increasing at $$\left(-\infty,\ 2\right)$$

Given $$f\left(x\right)=2x^3-9x^2-60x+40$$ Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Increasing at $$\left(-\infty,\ -2\right)$$

Increasing at $$\left(5,\infty\right)$$

Decreasing at $$\left(-\infty,\ -2\right)$$

Given $$f\left(x\right)=-x^3+48x$$ Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL the correct answers.

Decreasing at $$\left(-\infty,\ 4\right)$$

Increasing from $$\left(-\infty,\ -4\right)$$

Increasing at $$\left(4,\ \infty\right)$$

Functions Increasing and Decreasing

12th Grade

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Quiz

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Mathematics

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12th Grade

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Practice Problem

•

Hard

•

CCSS

HSF.TF.A.4, HSF-IF.C.7B

Standards-aligned

Anthony Clark

FREE Resource

15 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the increasing interval on the function shown?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Over what interval is this function constant?

−5 < x < ∞

−3 < x < 4

4 < x < ∞

−5

The intervals in which the function f given by f (x) = x² – 4x + 6 is increasing is

none of these

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The function f (x) = tan x – 4x is strictly decreasing on

none of these

The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is:

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Functions Increasing and Decreasing

15 questions

What is the increasing interval on the function shown?

Over what interval is this function constant?

The intervals in which the function f given by f (x) = x2 – 4x + 6 is increasing is

The function f (x) = tan x – 4x is strictly decreasing on

The interval on which the function f (x) = 2x3 + 9x2 + 12x – 1 is decreasing is:

What is the interval of increase and decrease in the following function.

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The intervals in which the function f given by f (x) = x² – 4x + 6 is increasing is

The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is: