Find where a function is increasing or decreasing

Question 1

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

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

Question 2

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

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

Question 3

Where is f(x) = x³ − 15x² + 48x + 1 decreasing?

• A. x > 8
• B. x < 2 or x > 8
• C. 2 < x < 8
• D. −8 < x < −2

Question 4

For which values of x is f(x) = 2x² + 24x − 4 increasing?

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

Question 5

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

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

Question 6

For which values of x is f(x) = 2x² − 24x − 5 increasing?

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

Question 7

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

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

Question 8

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

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

Question 9

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

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

Question 10

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

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

Question 11

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

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

Question 12

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 13

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

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

Question 14

For which values of x is f(x) = −x² + 6x − 5 increasing?

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

Question 15

Where is f(x) = x³ − 3x² − 9x + 1 decreasing?

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

Question 16

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

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