Graphing Polynomials Unit 4

Determine which of the following graphs represents the function f(x)=2x⁶-3x²-2

• a

• b

• c

• d

 $g\left(x\right)=-\frac{1}{16}x^3+\frac{3}{8}x^2+2$  Identify the Local Maximum & Local Minimum coordinates of the function:

• Local Min (-1,-2)
  Local Max (-3, 2)

• Local Min (0,-2)
  
  Local Max (4, 2)

• Local Min (0, 2)
  
  Local Max (4, 4)

• Local Min (-1,-3)
  
  Local Max (-2, 0)

Between what integers values of x would a Local Minimum likely occur?

• between 0 and 1

• between 1 and 2

• between -3 and -2

• between 2 and 3

Identify the end behavior of the polynomial function: f(x)=x3-3x-2

• x-> - inf, y-> inf
  x-> inf, y-> inf

• x-> - inf, y-> - inf
  x-> inf, y-> inf

• x-> - inf, y-> inf
  x-> inf, y-> - inf

• x-> - inf, y-> - inf
  x-> inf, y-> - inf

Which polynomial function has end behavior different from the rest?

• a

• b

• c

• d

Identify the degree and leading coefficient of the function graphed.

• even degree, negative leading coefficient

• odd degree, negative leading coefficient

• odd degree, positive leading coefficient

• even degree, positive leading coefficient

From which of the following x intervals is the function increasing?

• ( -inf, -1) u (1, 3)

• (-1, 1) u (3, inf)

• (-4.2, 3) u (-4.2, inf)

• (inf, -4.2) u (3, -4.2)

Which function has a y - intercept at y = 8.

• a

• b

• c

• d

 $p\left(t\right)=t^3-9t^2+20t$  The profit in millions of dollars of a business is related to the equation p(t), where t is the amount of time in years after the business is open.  Durng what interval did the business lose money?

• 0 to 1 years

• 2 to 3 years

• 4 to 5 years

• 7 to 8 years

How ready are you feeling for the test on Thursday?

• Very ready!

• Medium ready

• Meh

• Not at all ready