1. Given the following linear function

f(x) = -2x +2

a. What is the slope and y - intercept co-ordinates

Slope = - 2y -intercept coordinate= (0,2)

b. Average Rate of Change =

c. The function is increasing, decreasing or flat?Always Decreasing -----------------

2. Given the quadratic function

f(x) = -2x2+4x +1

a. Find the vertex co-ordinate (h, k)

(h, k) = (,)

b. The equation of the axis of symmetry

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c. Does the cup open up or down?--------------------

d. y- intercept co-ordinate

(,)

3. Given the quadratic function

f(x) = -x2 +4x +3

a. Determine whether f(x) has a maximum or minimum

________________

Maximum or Minimum

b. Where does the maximum or minimum occur at?

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c. What is the value of the maximum or minimum?

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Extra Credit

4. Given the quadratic function

f(x) =-2x² + bx + c

If the axis of symmetry occurs at x = 0 and f(x) has a maximum value of 5, what is b and c?

b = -------------------c = ----------------------

5. Solve the quadratic inequality

X2 - x - 6 = (x-3) (x+2)>0

xx

------------------------- or --------------------

6. Solve the quadratic inequality

X2 - 4 = (x -2) (x + 2) < 0

< x <

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7. Given

f(x) = (x-1) 3(x-3)²

a. Fill in the following Table

Real Zero Multiplier Cross or Touch x - Axis

x =

x =

b. What is the degree of f(x) and the maximum number of turning points?

Degree----------------Maximum Number of Turning Points -------------

c. Fill In

For large positive x, f(x) is----------------------------

Positive or Negative

For large negative x, f(x) is---------------------------

Positive or Negative

8. Given

f(x) = (x-1)²(x+4) (x-3)

a. Fill in the following Table

Real Zero Multiplier Cross or Touch x - Axis

x =

x =

x =

b. Find the value of the y - intercept

y intercept value = ----------------------

c. Fill In

For large positive x, f(x) is----------------------------

Positive or Negative

For large negative x, f(x) is---------------------------

Positive or Negative

9. Solve the following inequality

f(x) = (x-1)²(x+2) <0

x

---------------------

10. Given

f (x) = 2x + 1

g(x) = x2

a. (f o g) (2)

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b. (g o f) (2)

----------------------------

c. (f o f o f) (1)

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Extra Credit

11. Given

f(x) = 3x - 2

Find f -1 (x)

f-1(x) --------------------------------------