Name: 1. Do odd questions FIRST! 2. Complete Page 1. 3. Do even questions LAST.

Functions Formative Assessment

Instructions:

There are 104 questions. 52 odd and 52 even numbered questions. This assessment has 2 practice tests in it; the odd test and the even test.

1.Do all the odd questions first. Face your errors here! Sillies or “I don’t knows.”

ODD Score_____/52

2.How many sillies did you make?

3.Which question #s do you not know how to do right now?

Before beginning the even test, do all your corrections on the odd test. Consult your notes, your neighbor or tspray for clarification where needed.

4.Now do all the even questions. Face your errors here! Sillies or “I don’t knows.”

Even Score_____/52

5.How many sillies did you make?

6.Was your even test better than your odd test? Why?

7.After completing 1-104, make a list of the 10 questions you need to review before the test.

Check each question above when you have mastered the concept.

Functions Formative Pre-test Assessment

Test 1Do all the odd questions and then complete the self-assessment on page 1

Test 2After completing your corrections on test 1, complete all the even questions.

1. / 2. / 3. / 4.
5.State the range: / 6.State the range: / 7.State the domain: / 8.State the range:
9. / 10. / 11.Given , graph y=2f(x-1)-2 / 12.Given , graph y=-f(x+2)+1
13.State the range: / 14.State the domain: / 15.State the domain: / 16.State the range:
17.Graph . / 18.Graph . / 19.Graph .
20.State the range: / 21.State the range: / 22.State the point of infection:
23.Graph . / 24.Graph . / 25.Graph .
26.State the equation(s) of any asymptotes: / 27.State the range: / 28.State the domain:

Write the equation of the following functions:

29.Write the equation of a quadratic function, , after reflection over the x-axis, a horizontal shift 2 right and a vertical translation 7 units down. / 30.Write the equation of absolute value function, , with axis of symmetry of , a range of and congruent to . / 31.Write the equation of a square root function, , that has the same domain as and the same range as .
32.Write the equation of a cubic function, , after x has been replaced with and y has been replaced with . / 33.Write the equation of the exponential function, , with a range of . / 34.Write the equation of a reciprocal function, , with domain of and an asymptote with an equation of .

State the domain and range of each of the following functions:

Domain: / 35. / 36. / 37. / 38.
Range: / 39. / 40. / 41. / 42.
43.Describe the change to the graph of when y is replaced with . / 44.Describe the change to the graph of when x is replaced with . / 45.Describe the change to the graph of when y is replaced with 2y.
46.Describe the change to the graph of when x is replaced with . / 47.Describe the change to the graph of when y is replaced with . / 48.Describe the change to the graph of when y is replaced with.

State whether each of the following are Even or Odd, + or – and possible degree.

49. / 50. / 51. / 52. / 53.
E or O,
+ or - ,
Degree / E or O,
+ or - ,
Degree / E or O,
+ or - ,
Degree / E or O,
+ or - ,
Degree / E or O,
+ or - ,
Degree

Matching: Match the letter to each graph or equation. Some will have more than one correct letter.

  1. Polynomial Function
/
  1. Rational Function
/
  1. Quadratic Function
/
  1. Radical Function
/
  1. Not a Function

54. / 55. / 56. / 57. / 58.
59. / 60.
/ 61. / 62.
/ 63.

Sketch the following functions. Plot all intercepts and approximate the graph. (Your graph will not be to scale.)

64.

State the y-intercept: / 65.

State the y-intercept: / 66.

State the y-intercept:
67.Write a cubic equation with point of inflection of (2,3) and traveling through the point 6,-12. / 68.Write a quartic equation with y-intercept of 5 and x-intercepts of –1. –1, 1 and 2. / 69.Write a radical equation that passes through the point (5,2), has a domain and range of and respectively.

Graph the reciprocal of each of the following graphs.

70. / 71. / 72.
73.Graph the reciprocal of . / 74.Graph the reciprocal of . / 75.Graph the reciprocal of .
76.If (-5,0) is a point on , name a point or an asymptote of . / 77.If (8,-1) is a point on , name a point or an asymptote of . / 78.If (4,0.5) is a point on , name a point or an asymptote of .
79. / 80. / 81. / 82.

83.State the range: / 84.State the domain: / 85.State the domain: / 86.State the range:
Given: , , , , ,
87.Determine . / 88.Determine . / 89.Determine . / 90.Determine .
91.Determine . / 92.Determine . / 93.Determine . / 94.Determine .
95.Determine . / 96.Determine . / 97.Determine . / 98.Determine .
Given:, , , ,
99.State the domain of .
100.State the domain of . / 101.State the domain of .
102.State the domain of . / 103.State the domain of .
104.State the domain of .

Once you have completed the odd questions, turn back to page 1!

1

This will be collected on the test day.