Increasing and Decreasing Intervals Practice

Increasing and Decreasing Intervals Practice

10th Grade - University

12 Qs

quiz-placeholder

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Increasing and Decreasing Intervals Practice

Increasing and Decreasing Intervals Practice

Assessment

Quiz

Mathematics

10th Grade - University

Practice Problem

Medium

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

+1

Standards-aligned

Created by

Adeyemi Aderinto

Used 26+ times

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12 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Given      f(x)=3x2+12x+15f\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   (,2)\left(-\infty,-2\right)  

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

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

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

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

2.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Given      f(x)=4x28x+32f\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   (,1)\left(-\infty,-1\right)  

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

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

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

3.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Given      f(x)=52x230x+20f\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   (,6)\left(-\infty,6\right)  

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

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

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

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

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Given      f(x)=7x2+5f\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   (,7)\left(-\infty,-7\right)  

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

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

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

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

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Given      f(x)=2x39x260x+40f\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  (, 2)\left(-\infty,\ -2\right)  

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

Increasing at     (-2,  5)

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

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Given      f(x)=x327xf\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  (, 3)\left(-\infty,\ 3\right)  

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

Increasing at     (-3, 3)

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

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the increasing interval for the function below?

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

(,2]\left(-\infty,2\right]

(,6]\left(-\infty,6\right]

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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