Increasing and Decreasing Intervals Practice

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.

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

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

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

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

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

Given      $f\left(x\right)=-4x^2-8x+32$  

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

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

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

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

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

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.

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

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

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

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

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

Given      $f\left(x\right)=-7x^2+5$  

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

• Decreasing at   $\left(-\infty,-7\right)$  

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

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

• Increasing at    $\left(-7,\infty\right)$  

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

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.

• Decreasing at  ( -2,  5)

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

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

• Increasing at     (-2,  5)

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

Given      $f\left(x\right)=x^3-27x$  

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

• Decreasing at  ( -3, 3)

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

• Increasing from     $\left(-\infty,\ -3\right)$  

• Increasing at     (-3, 3)

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

What is the increasing interval for the function below?

• $\left(-\infty,\infty\right)$

• $\left(-\infty,2\right]$

• $\left(-\infty,6\right]$

• $\left(-6,6\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the increasing interval on the function shown?

• $\left(-\infty,\ 1\right)$

• $\left(-\infty,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(1,\ \infty\right)$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the decreasing interval on the function shown?

• $\left(-\infty,\ 1\right)$

• $\left(-\infty,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(1,\ \infty\right)$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• $\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)$

• $\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)$

• $\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)$

• $\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7