Find where a function is increasing or decreasing

Question 1

Where is f(x) = x³ + 6x² + 9x + 1 decreasing?

• A. 1 < x < 3
• B. −3 < x < −1
• C. x > −1
• D. x < −3 or x > −1

Question 2

For which values of x is f(x) = −3x² − 36x + 3 decreasing?

• A. x > −6
• B. x > 6
• C. x < −6
• D. x < 6

Question 3

Where is f(x) = x³ − 3x² − 24x + 1 decreasing?

• A. −4 < x < 2
• B. x < −2 or x > 4
• C. −2 < x < 4
• D. x > 4

Question 4

For which values of x is f(x) = −3x² − 12x − 2 decreasing?

• A. x < 2
• B. x > −2
• C. x > 2
• D. x < −2

Question 5

Where is f(x) = x³ + 9x² + 24x + 1 decreasing?

• A. x > −2
• B. x < −4 or x > −2
• C. 2 < x < 4
• D. −4 < x < −2

Question 6

For which values of x is f(x) = x² − 1 decreasing?

• A. x < 0
• B. x > 0

Question 7

Where is f(x) = x³ − 3x + 1 decreasing?

• A. x < −1 or x > 1
• B. x > 1
• C. −1 < x < 1

Question 8

For which values of x is f(x) = x² + 4x + 2 increasing?

• A. x < −2
• B. x < 2
• C. x > 2
• D. x > −2

Question 9

Where is f(x) = x³ − 3x + 1 decreasing?

• A. −1 < x < 1
• B. x > 1
• C. x < −1 or x > 1

Question 10

For which values of x is f(x) = 2x² − 12x + 5 increasing?

• A. x > 3
• B. x < 3
• C. x < −3
• D. x > −3

Question 11

Where is f(x) = x³ − 27x + 1 decreasing?

• A. x < −3 or x > 3
• B. −3 < x < 3
• C. x > 3

Question 12

For which values of x is f(x) = −3x² − 6x − 2 decreasing?

• A. x > −1
• B. x < −1
• C. x > 1
• D. x < 1

Question 13

Where is f(x) = x³ + 3x² + 1 decreasing?

• A. x > 0
• B. x < −2 or x > 0
• C. −2 < x < 0
• D. 0 < x < 2

Question 14

For which values of x is f(x) = −3x² − 30x + 4 decreasing?

• A. x > −5
• B. x < 5
• C. x > 5
• D. x < −5

Question 15

Where is f(x) = x³ − 3x + 1 decreasing?

• A. x > 1
• B. −1 < x < 1
• C. x < −1 or x > 1

Question 16

For which values of x is f(x) = x² + 3 increasing?

• A. x < 0
• B. x > 0