Review for Quiz 7. Increasing and Decreasing Functions Intervals

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 $\left(-\infty,\ 3\right)$  

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

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

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

Given      $f\left(x\right)=x^2+10x+11$  

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

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

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

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

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

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

Given      $f\left(x\right)=\frac{3}{2}x^2-12x+20$  

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

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

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

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

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

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

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   $\left(-\infty,-1\right)$  

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

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

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

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

Given      $f\left(x\right)=2x^3-150x$  

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  ( -5, 5)

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

• Increasing from     $\left(-\infty,\ -5\right)$  

• Increasing at     (-5,  5)

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

Given      $f\left(x\right)=x^3-12x^2+36x+7$  

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

Select ALL the correct answers.

• Increasing at   $\left(2,\ 6\right)$  

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

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

• Decreasing at    $\left(2,\ 6\right)$  

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

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    $\left(-2,\ 5\right)$  

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

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

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

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

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  ( -4, 4)

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

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

• Increasing at     (-4,  4)

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

What is the increasing interval for the function below?

• $\left(-\infty,\infty\right)$

• $\left(-\infty,1\right)$

• $\left(1,\ \infty\right)$

• $\left(-1,\ 1\right)$

• $\left[-\infty,\ 1\right]$

Tags

CCSS.HSF-IF.C.7A

What is the increasing interval on the function shown?

• $\left(-\infty,\ \infty\right)$

• $\left(-\infty,\ 3\right)$

• $\left(3,\ \infty\right)$

• $\left(3,\ \infty\right]$

Tags

CCSS.HSF-IF.C.7A