Parent Function Transformations Increasing and Decreasing Intervals

What is the interval of increase and decrease in the following function.

• Decreasing at (5, 0) and (0, 2)

• Decreasing at (-5, -2) and (0, 2)

• Increasing at (2, 6)

What are the intervals on which f(x) = 2x⁴- 4x² + 1 is strictly increasing?

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1, ∞)

What do we know about the slope for increasing functions?

• The slope is positive

• The slope is negative

• There is zero slope

Tags

CCSS.8.EE.B.5

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

Name the parent function. 

• constant

• square root

• linear

• absolute value

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

Choose all intervals where the graph is DECREASING (Choose all that apply)

• (-∞ , 1)

• (1 , 3)

• (3 , ∞)

Choose all intervals where the graph is INCREASING (Choose all that apply)

• (-∞ , 1)

• (1 , 3)

• (3 , ∞)

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

When is this function increasing?

• (-3, 3)

• (-2.5, 2.5)

• [-3, 3]

• (3, ∞)