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. What is another way of writing the absolute value function?
Y=IxI
Conditional
Cannot be drawn in quizlet
4 -6 -9

2. how many ranges can you have for each domain?
only one
f(x+c) and f(x-c)
undefined slope
[0 -+infinity)

3. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y
2nd catalog (zero key -) abs(x) - graph

4. f(x) = x^2+3x+5 - what type of formula is this?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x^1)=f(x^2)
Square Root
function notation

5. Is an identity function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
odd

6. What direction does f(x)-c move in standard absolute value formula?
x=a
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
down

7. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
odd

8. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
45 degree angle
no because you cannot have one domain pointing at two y's or ranges
odd

9. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
f of g and g of f

10. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
zero slope
undefined slope
Y=b

11. What is the formula for to calculate the difference of a quotient function?
x math 3 graph
f(x+h)-f(x)/h h cannot equal zero
45 degree angle
0<c<1 - horizontal stretching

12. What are the algebra of functions?
As equations
only one
undefined
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
identity
same
negative inverse

14. What type of slope do horizontal lines have?
horizontal
The minimum or maximum points
Conditional
same

15. Which direction does f(x+c) move
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal left
Yes - all the domains points to one range

16. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
in a quotient
Conditional
neither

17. How would this formula move f(x)=(x+1)^2-3
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
negative inverse
[0 -+infinity)
parabola - up one and right three

18. Is the square root function odd - even or neither?
neither
Cannot be drawn in quizlet
perpendicular line
odd

19. What is the domain of an identity function?
f(x)=IxI
x = the original sale price and the formula is x - .40x =$276
2nd key - x^2 - graph
(-infinity - +infinity)

20. Draw or discuss a constant function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching
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
Cannot be drawn in quizlet

21. What is another way to write f(x)=x - what type of function is this?
Line ascending to the right gradually
Y=x - identity function
only one
math 4 x - graph

22. Which direction does f(x)=+c move in standard absolute value formula?
Y
up
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
odd

23. What is slope?
(-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
because the demintor of a quotient can never equal zero
A line passing through two distinct points

24. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
identity
(-infinity - 0]U[0 - +infinity)
Y=b

25. What is the domain of a square root function?
The secant line
45 degree angle
Conditional
[0 -+infinity)

26. What is the vertex?
neither
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.
The first set of components of an ordered pair
The minimum or maximum points

27. How do you calculate a constant function in your calculator?
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.
2nd key - x^2 - graph
Y= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)

28. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
f of g and g of f
perpendicular line
Yes - all the domains points to one range

29. 4(x-7)=4x-28 is what type of an equation?
perpendicular line
identity
x=a
2nd catalog (zero key -) abs(x) - graph

30. what can never equal zero in the slope formula and why?
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
parabola - up one and right three
x2-x1 because the demonaitor of a quotient can never equal zero
negative slope

31. In an identity function if f(10)=x than what is y?
Y=10
in a quotient
same
perpendicular line

32. What type of slope do vertical lines have?
x = the original sale price and the formula is x - .40x =$276
undefined
Yes because two x's or domains can point to one y
Y=10

33. Of the seven of algebra's common graph's how many are odd?
Equation of a line
The slope of a line containing two points
math 4 x - graph
Three odd - cube root - identity - standard cubic

34. What are two examples of composit functions?
f of g and g of f
postiive slope
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.
(-infinity - +infinity)

35. What is the formula for the cube root function?
Y= then enter the number then press graph
f(x)=3 square root x
parraelle line
45 degree angle

36. What can we substitute for f(x)?
Y
C>1 - horizontal shrinking
math 4 x - graph
(-infinity - 0]U[0 - +infinity)

37. What are the steps for solving a word problem?
f of g and g of f
x^2
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
identity

38. What shape is the standard quadratic function?
parabola
Equation of a line
undefined slope
Y=b

39. Of the seven of algebra's common graph's how many are even?
f(x^1)=f(x^2)
Absolute Value - Constant and Standard Quadratic
even
f(x)=x^3

40. What does linear equation mean?
[0 -+infinity)
Equation of a line
(-infinity - +infinity)
A V

41. What is the range for an absolute value function?
inconsistant
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)
Y

42. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
perpendicular line
The secant line
Y=x^2 - graph
20+.05x=5+.10x x=minutes

43. What is the standard quadratic function?
x^2
0<c<1 - horizontal stretching
even
function notation

44. How do you graph Ax+By+C=0?
x2-x1 because the demonaitor of a quotient can never equal zero
x math 3 graph
Set the x and y to zero and get the intercepts and then plot the points
Conditional

45. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
(-infinity - +infinity)
undefined
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
Line ascending to the right gradually

46. What is the formula for an identity function?
(-infinity - +infinity)
identity
up
f(x) = x

47. What is the range for a standard quadratic function?
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
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line

48. Is a standard quadratic function even - odd or neither?
Yes - all the domains points to one range
x2-x1 because the demonaitor of a quotient can never equal zero
even
f(x)=3 square root x

49. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - +infinity)
45 degree angle
The single number y=

50. What is the formula for the standard cubic function?
f(x)=x^3
The first set of components of an ordered pair
Y= then enter the number then press graph
As many as you like