Graphing a Function Intervals

How many turning points (maxes and mins) are in the picture?

• 2

• 3

• 4

• 5

Determine the interval in which this function is INCREASING.

• (-4, ∞)

• (-3, ∞)

• (∞, -3)

• (-∞, -4)

Describe the graph correctly.

• absolute min, 3 relative max and 3 relative min

• relative min and 4 relative max

• absolute max, 3 relative max and 2 relative min

• absolute min, absolute max, 2 relative max

What are the interval(s) of increase?

Where is the function increasing and decreasing? (¿Dónde la función es creciente y decreciente?)

• inc: x < -1, x > 1

  dec: -1 < x < 1

• inc: -1 < x < 1

  dec: x < -1, x > 1

• inc: -2 < x < 4

  dec: x > 4

• inc: x > 4

  dec: -2 < x < 4

How many relative maximums does this function have?

• 1

• 2

• 3

• 4

Which are intervals of increasing for the graph?

• (-∞, -3)

• (-3, 0)

• (0, 2)

• (2, ∞)

Answer explanation

Look for where the graph is going UP. Base the interval on the x-values. If there is an arrow pointing left, it goes back to negative infinity. If there is an arrow pointing right, it goes to positive infinity.

What is the relative minimum?

• (1,2)

• (2,2)

• (0,-2)

• A
• B
• C

What is the equation of this graph?