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

Given $$f\left(x\right)=-3x^2-6$$ 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 $$\left(4,\ \infty\right)$$

Given $$f\left(x\right)=-2x^3+9x^2+60x+10$$ Use the First Derivative Test to find the open interval in which f(x) is increasing or decreasing. Select ALL that apply.

Increasing at $$\left(-2,\ 5\right)$$

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

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

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

Decreasing at $$\left(-2,\ 5\right)$$

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)

Increasing and Decreasing Functions (1st and 2nd Deriv. Tests)t

Authored by Felipe Portilho

Mathematics

12th Grade

CCSS covered

Used 1+ times

Increasing and Decreasing Functions (1st and 2nd Deriv. Tests)t

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MULTIPLE SELECT QUESTION

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MULTIPLE SELECT QUESTION

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MULTIPLE SELECT QUESTION

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MULTIPLE SELECT QUESTION

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MULTIPLE SELECT QUESTION

15 mins • 1 pt

Decreasing at ( -2, 5)

Increasing at (-2, 5)

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Decreasing at ( -4, 4)

Increasing at (-4, 4)

MULTIPLE SELECT QUESTION

15 mins • 1 pt

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Increasing and Decreasing Functions (1st and 2nd Deriv. Tests)t

What is the decreasing interval(s) on the function shown?

What is the increasing interval on the function shown?

What is/are the decreasing interval(s) for the function shown?

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