Analyzing Functions

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant
• increasing, decreasing, constant
• increasing, constant, increasing, constant
• increasing, constant, decreasing, constant

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where is the function decreasing?

• (-∞, -1)
• (-1, ∞)
• (-∞, 3)
• (-∞, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the interval of increase?

• (negative infinity, -2)
• (-2, infinity)
• (2, infinity)
• (negative infinity, 2)

Tags

CCSS.HSA.REI.D.10

For what intervals of x is f(x) positive?

• -infinity<x<=-2 and 2<=x,infinity

• -2<x<2

• -infinity<x≤-3 and x≥3

• x≥-4

For what intervals of x is f(x) negative?

• -2<x<2

• -2≤x≤2

• x<-2 and x>2

• x≤-4

For what intervals of x is f(x) increasing?

• all values of x
• x>6
• x<6
• no values of x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

For what intervals of x is f(x) negative?

• -infinity<x<=6

• 6<=x<infinity

• -infinity<x<=3

• all values of x

For what intervals of x does f(x) have a positive slope?

• all values of x
• x>6
• x<6
• no values of x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

For what intervals of x is f(x) decreasing?

• -1≤x≤4
• -1<x<4
• -7<x<2
• x≥0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

For what intervals of x does f(x) have a negative slope?

• -1<x<4

• -1≤x≤4

• x<-6 and x>4

• -6<x<-1