Test your basic knowledge |

CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. In an identity function if f(10)=x than what is y?
1 -2 -3
f(x)=IxI
Y=10
inconsitent

2. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
odd
(-infinity - +infinity)

3. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
undefined
x^2

4. 4x+5x=8x is what type of an equation?
odd
x is the hours to repair the boat. $1603-532=anwser/63 = x
function notation
Conditional

5. What does the average rate of change formula solve?
odd
The slope of a line containing two points
even
Cannot be drawn in quizlet

6. What is the range for a standard quadratic function?
A line passing through two distinct points
in a quotient
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)

7. Two vertical lines side by side are a symbol for what
no because you cannot have one domain pointing at two y's or ranges
parraelle line
f of g and g of f
parabola

8. how many ranges can you have for each domain?
(-infinity - +infinity)
(-infinity - +infinity)
only one
Yes - all the domains points to one range

9. What are the calculator instructions for a square root function?
(-infinity - +infinity)
Square Root
math 4 x - graph
2nd key - x^2 - graph

10. What are the four steps for finding the inverse of a function?
Mirror image neg quadrant to that of the positive quandrant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x+h)-f(x)/h h cannot equal zero
Y=10

11. what is the letter used to represent slope?
m
x math 3 graph
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero

12. Is the square root function odd - even or neither?
inconsitent
x math 3 graph
neither
(-infinity - +infinity)

13. Draw or discuss a constant function
Cannot be drawn in quizlet
undefined slope
(-infinity - +infinity)
Piecewise

14. What is the formula for the standard cubic function?
f(x)=x^3
The secant line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
inconsitent

15. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
function notation
Equation of a line
Y=10
x is the hours to repair the boat. $1603-532=anwser/63 = x

16. What is the vertical line test?
Y=b
45 degree angle
When does a graph not define y as a function of x?
Cannot be drawn in quizlet

17. Draw or discuss an increasing function
f(x)=3 square root x
(-infinity - +infinity)
identity
Cannot be drawn in quizlet

18. Is the standard cubic function odd - even or neither?
odd
Any set of ordered pairs
(-infinity - +infinity)
parabola

19. What is the domain and range of a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
45 degree angle
identity

20. Is a constant function even - odd or neither?
Y=IxI
2nd key - x^2 - graph
even
Any set of ordered pairs

21. What are two examples of composit functions?
undefined
The minimum or maximum points
f of g and g of f
identity

22. What type of slope do you have when the line is horizontal and m=0?
f(x)=+c and f(x)-c
f(x+h)-f(x)/h h cannot equal zero
zero slope
45 degree angle

23. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x)=x^3
even
x = the original sale price and the formula is x - .40x =$276

24. Is an identity function even - odd or neither?
Cannot be drawn in quizlet
odd
Piecewise
The single number y=

25. What direction does f(x)-c move in standard absolute value formula?
even
f(x) = x
down
(-infinity - +infinity)

26. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x^1)=f(x^2)
inconsistant
Cannot be drawn in quizlet

27. how many domains can you have pointing to one range?
identity
undefined slope
As many as you like
(-infinity - +infinity)

28. What is the horizontal line formula?
in a quotient
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b

29. What does linear equation mean?
odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
Equation of a line

30. What is the domain for a standard quadratic function?
f(x+c) and f(x-c)
Y= then enter the number then press graph
even
(-infinity - +infinity)

31. Of the seven of algebra's common graph's how many are neither?
Cannot be drawn in quizlet
The first set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero
Square Root

32. What is the domain of an identity function?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
even
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

33. What is the domain for the standard cubic function?
45 degree angle
horizontal
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

34. What is the domain of a square root function?
x = the original sale price and the formula is x - .40x =$276
f(x^1)=f(x^2)
[0 -+infinity)
horizontal

35. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Y=x - identity function
(-infinity - +infinity)
As equations

36. What is the line called that illustrates the straight line between the two points when showing average rate of change?
45 degree angle
parabola
The secant line
(-infinity - +infinity)

37. How are functions normally written?
As equations
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
undefined slope

38. How would this formula move f(x)=(x+1)^2-3
f(x2)-f(x1) / x2-x1
parabola - up one and right three
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph

39. What is another way of writing the absolute value function?
Mirror image neg quadrant to that of the positive quandrant
Y=IxI
m
down

40. Draw or discuss a decreasing function
2nd key - x^2 - graph
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet

41. What is the domain for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
no because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph
(-infinity - +infinity)

42. x=no real numbers is what type of an equation?
math 4 x - graph
inconsistant
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=suare root of x

43. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

44. What is the formula for an absolute value function?
up
A line passing through two distinct points
f(x)=IxI
m

45. What is the range of an identity function?
down
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)

46. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair
The minimum or maximum points
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

47. What is a constant function?
undefined slope
even
Conditional
f(x^1)=f(x^2)

48. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
Any set of ordered pairs

49. Which direction does f(x+c) move
f(x+c) and f(x-c)
horizontal left
f(x)=+c and f(x)-c
The single number y=

50. Is a standard quadratic function even - odd or neither?
even
parabola
Cannot be drawn in quizlet
parabola - up one and right three