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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 a constant function?
[0 -+infinity)
f(x^1)=f(x^2)
horizontal
The slope of a line containing two points

2. What is the formula for an absolute value function?
horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=IxI

3. What is the range for the standard cubic function?
horizontal
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=10

4. Is a constant function even - odd or neither?
even
down
Equation of a line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

5. how many domains can you have pointing to one range?
As many as you like
f of g and g of f
Mirror image neg quadrant to that of the positive quandrant
When does a graph not define y as a function of x?

6. What is the slope of a perpendicular line?
negative inverse
f(x^1)=f(x^2)
x is the hours to repair the boat. $1603-532=anwser/63 = x
function notation

7. Which direction does f(x-c) move
horizontal right
The single number y=
identity
The opposite coordinates

8. x=no real numbers is what type of an equation?
perpendicular line
f(x)=3 square root x
inconsistant
The opposite coordinates

9. What are the calculator instructions for the cube root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
math 4 x - graph
only one
Any set of ordered pairs

10. Of the seven of algebra's common graph's how many are neither?
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph
(-infinity - +infinity)
Square Root

11. A flat line underlining one vertical line is a symbol for
20+.05x=5+.10x x=minutes
perpendicular line
horizontal right
When does a graph not define y as a function of x?

12. What type of line is a constant function?
horizontal
0<c<1 - horizontal stretching
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
Cannot be drawn in quizlet

13. x= a real number is what type of equation?
Conditional
identity
(-infinity - +infinity)
Cannot be drawn in quizlet

14. What type of slope do you have when a line rises from left to right and m>0?
The minimum or maximum points
neither
even
postiive slope

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

16. What does the square root function look like on a graph?
Line ascending to the right gradually
0<c<1 - horizontal stretching
parraelle line
f(x)=3 square root x

17. Is an absolute value function even - odd or neither?
even
(-infinity - +infinity)
(-infinity - +infinity)
Yes - all the domains points to one range

18. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
m
The secant line
x2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3

19. What does the graph of the cube root function look like on the graph?
parabola
Approach neg toward x through zero and above positive close to x
Mirror image neg quadrant to that of the positive quandrant
undefined

20. What is the domain and range of a constant function?
Y=IxI
(-infinity - +infinity)
f(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes

21. Draw or discuss a constant function
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

22. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
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.
(-infinity - 0]U[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

23. 4(x-7)=4x+28 is what type of an equation?
m
f(x2)-f(x1) / x2-x1
inconsitent
The opposite coordinates

24. How would this formula move f(x)=(x+1)^2-3
f(x) = x
identity
A line passing through two distinct points
parabola - up one and right three

25. What is the range of the constant function?
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
The single number y=
only one

26. What is the range of an identity function?
identity
(-infinity - +infinity)
Y
Equation of a line

27. What is the formula for the square root function?
f(x)=suare root of x
4 -6 -9
no because you cannot have one domain pointing at two y's or ranges
f(x)=+c and f(x)-c

28. What is the domain of an identity function?
parraelle line
[0 -+infinity)
(-infinity - +infinity)
As equations

29. What type of line is an identity function?
neither
45 degree angle
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What is the standard quadratic function?
Y=x^2 - graph
x^2
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

31. Why can h not equal zero in the difference of a quotient function formula?
neither
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero

32. what can never equal zero in the slope formula and why?
f(x)=suare root of x
same
horizontal left
x2-x1 because the demonaitor of a quotient can never equal zero

33. What points do you use to plot the inverse on a graph?
The opposite coordinates
Cannot be drawn in quizlet
f(x)=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x

34. What type of slope do you have when m=? and the line is vertical?
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
undefined slope
x=a
f(x^1)=f(x^2)

35. How are functions normally written?
Line ascending to the right gradually
(-infinity - +infinity)
horizontal
As equations

36. What is the line called that illustrates the straight line between the two points when showing average rate of change?
down
The secant line
2nd catalog (zero key -) abs(x) - graph
math 4 x - graph

37. What is a relation?
45 degree angle
Any set of ordered pairs
up
4 -6 -9

38. What is an identity function?
neither
45 degree angle
identity
f(x)=+c and f(x)-c

39. What is the vertical line formula?
x=a
f(x)=IxI
f(x)=x^3
(-infinity - 0]U[0 - +infinity)

40. What is the slope intercept formula? Define all the variables.
Y=x - identity function
(-infinity - +infinity)
x^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

41. Is an identity function even - odd or neither?
odd
in a quotient
zero slope
(-infinity - 0]U[0 - +infinity)

42. What is another way of writing the absolute value function?
2nd key - x^2 - graph
Cannot be drawn in quizlet
Cannot be drawn in quizlet
Y=IxI

43. y^2+x=4 is this a function? Why?

44. What is the vertical line test?
C>1 - horizontal shrinking
Y
When does a graph not define y as a function of x?
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.

45. What is the formula for the cube root function?
horizontal right
even
f(x)=3 square root x
Cannot be drawn in quizlet

46. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Square Root
x is the hours to repair the boat. $1603-532=anwser/63 = x
even
x = the original sale price and the formula is x - .40x =$276

47. what is the letter used to represent slope?
even
x=a
Mirror image neg quadrant to that of the positive quandrant
m

48. What is the domain for an absolute value function?
0<c<1 - horizontal stretching
Yes because two x's or domains can point to one y
(-infinity - +infinity)
horizontal

49. When is the only time (-infinity - +infinity) is not the domain?
Y=IxI
x=a
undefined
in a quotient

50. how many ranges can you have for each domain?
only one
Y
Approach neg toward x through zero and above positive close to x
2nd catalog (zero key -) abs(x) - graph