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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. x=all real numbers is what type of an equation?
The second set of components of an ordered pair
identity
(-infinity - +infinity)
The single number y=

2. What direction does f(x)-c move in standard absolute value formula?
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
down
postiive slope

3. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

4. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Y=x - identity function
[0 -+infinity)
parraelle line

5. $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?
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
horizontal
Y= then enter the number then press graph
Y

6. What type of slope do you have when m=? and the line is vertical?
Y
undefined slope
0<c<1 - horizontal stretching
f(x)=3 square root x

7. What is a relation?
even
f(x)=suare root of x
Equation of a line
Any set of ordered pairs

8. What is the domain and range of a constant function?
f(x)=3 square root x
Y=IxI
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. what is the letter used to represent slope?
2nd key - x^2 - graph
m
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant

10. Is the standard cubic function odd - even or neither?
f(x2)-f(x1) / x2-x1
odd
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
Yes - all the domains points to one range

11. Which direction does f(x-c) move
The secant line
function notation
horizontal right
x = the original sale price and the formula is x - .40x =$276

12. what can never equal zero in the slope formula and why?
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
x2-x1 because the demonaitor of a quotient can never equal zero
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

13. how many ranges can you have for each domain?
even
only one
zero slope
negative slope

14. What is the range for the standard cubic function?
math 4 x - graph
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
(-infinity - +infinity)
When does a graph not define y as a function of x?

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

16. What type of slope do horizontal lines have?
parabola - up one and right three
same
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

17. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
even
f(x2)-f(x1) / x2-x1
2nd key - x^2 - graph

18. Standard absolute value - horizontal shift formulas for left and right
Conditional
f(x+c) and f(x-c)
function notation
(-infinity - +infinity)

19. What is the range of an identity function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
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
only one

20. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
[0 -+infinity)
4 -6 -9

21. What type of function would you use to calculate the most advantageous cell phone plan?
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
Piecewise
45 degree angle
Y=b

22. What is another way to write f(x)=x - what type of function is this?
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
(-infinity - +infinity)
Y=x - identity function
A V

23. What is the vertical line test?
When does a graph not define y as a function of x?
Y
x = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range

24. what is a range?
f(x)=x^3
(-infinity - +infinity)
The second set of components of an ordered pair
Y=x - identity function

25. Draw or discuss a constant function
even
Cannot be drawn in quizlet
Y=b
(-infinity - 0]U[0 - +infinity)

26. What can we substitute for f(x)?
odd
Y
odd
Y= then enter the number then press graph

27. Is an identity function even - odd or neither?
same
odd
f(x2)-f(x1) / x2-x1
Set the x and y to zero and get the intercepts and then plot the points

28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
As equations
Three odd - cube root - identity - standard cubic
Square Root

29. What is the domain for an absolute value function?
zero slope
horizontal
(-infinity - +infinity)
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

30. What is the formula for an identity function?
f(x) = x
(-infinity - +infinity)
Piecewise
Approach neg toward x through zero and above positive close to x

31. What is the domain for the standard cubic function?
parabola
postiive slope
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

32. What is the horizontal line formula?
Y=b
f(x+c) and f(x-c)
down
Equation of a line

33. What is the vertical line formula?
x=a
even
only one
even

34. What does the absolute value function look like?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
A V
horizontal

35. What are the algebra of functions?
(-infinity - +infinity)
parraelle line
up
(f+g) - (f-g) - (fg) - (f/g) all of x

36. What is an identity function?
1 -2 -3
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
same

37. Of the seven of algebra's common graph's how many are neither?
Square Root
1 -2 -3
even
up

38. What is the formula for the square root function?
inconsistant
same
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
f(x)=suare root of x

39. What type of slope do you have when a line falls left to right and m<0?
neither
negative slope
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)

40. What are the four steps for solving a linear equation?
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.
Square Root
because the demintor of a quotient can never equal zero
f of g and g of f

41. x=no real numbers is what type of an equation?
[0 -+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)
inconsistant

42. What type of slope do you have when a line rises from left to right and m>0?
function notation
f(x+c) and f(x-c)
postiive slope
(-infinity - +infinity)

43. What does linear equation mean?
Equation of a line
even
(-infinity - +infinity)
even

44. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Any set of ordered pairs
odd
even

45. What is the range of a square root function?
A line passing through two distinct points
function notation
[0 -+infinity)
Equation of a line

46. What equation does every line have? Discuss the variables.
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.
postiive slope
math 4 x - graph
even

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

48. What does the square root function look like on a graph?
Line ascending to the right gradually
f(x)=+c and f(x)-c
m
x=a

49. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)

50. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=
f(x)=3 square root x
(-infinity - +infinity)