Analyzing Functions Graphically

What is the range of f(x)?

• y≥-4

• all real numbers

• x≥-4

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

• all values of x

• x>6

• x<6

• no values of x

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

• -6≤x≤-1

• -1≤x≤4

• x<-6 and x>4

• -6<x<-1

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

• x<-2 and x>2

• -2<x<2

• x≤-2 and x≥2

• x≥-4

What is true of this graph?

• It is Exponential

  It is increasing

  y-intercept is (0,2)

  No x-intercepts

• It is Exponential

  It is decreasing

  No y-intercepts

  x-intercepts (-3,0)

• It is Quadratic

  Both increasing & decreasing

  y-intercept (0,2)

  x-intercept (-3,0)

• It is Quadratic

  It is increasing

  y-intercept (2,0)

  No x-intercepts

• A

• B

• C

• D

Choose all of the information that is true about the graph shown above.

• The graph is increasing between the interval of ( −∞, −2.55) , (0, 2.55)

• The graph is decreasing between the interval of ( −∞, −2.55) , (0, 2.55)

• The roots of the function are at -3,-2, 2, 3

• The function is an even function

• The function is an odd function

• A
• B
• C
• D

Arrange the qualitative description of the function.

• I, II, III

• I, II, IV

• II, I, III

• II, I, IV

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

• x≤0

• x≥0

• -2<x<2

• x>-2