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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. What is the average rate of change formula?
only one
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.
Three odd - cube root - identity - standard cubic
f(x2)-f(x1) / x2-x1

2. What type of slope do you have when a line rises from left to right and m>0?
(f+g) - (f-g) - (fg) - (f/g) all of x
postiive slope
Set the x and y to zero and get the intercepts and then plot the points
parabola

3. What is the domain of a square root function?
identity
[0 -+infinity)
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

4. What is the range for the standard cubic 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
only one
inconsitent
(-infinity - +infinity)

5. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
As equations
45 degree angle
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
1 -2 -3

6. What shape is the standard quadratic function?
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)
parabola

7. What are the calculator instructions for the standard cubic function?
x math 3 graph
negative slope
Set the x and y to zero and get the intercepts and then plot the points
down

8. What is the vertical line test?
When does a graph not define y as a function of x?
The first set of components of an ordered pair
even
x is the hours to repair the boat. $1603-532=anwser/63 = x

9. What type of line is an identity function?
45 degree angle
only one
4 -6 -9
f(x) = x

10. What is another way of writing the absolute value function?
f(x)=IxI
2nd key - x^2 - graph
Y=IxI
down

11. y=f(cx) what does this formula represent?
down
0<c<1 - horizontal stretching
even
[0 -+infinity)

12. How do you graph Ax+By+C=0?
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
Set the x and y to zero and get the intercepts and then plot the points
even

13. $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?
20+.05x=5+.10x x=minutes
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
Absolute Value - Constant and Standard Quadratic
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

14. Standard absolute value - horizontal shift formulas for left and right
odd
neither
(-infinity - +infinity)
f(x+c) and f(x-c)

15. When is the only time (-infinity - +infinity) is not the domain?
x math 3 graph
in a quotient
Square Root
(-infinity - 0]U[0 - +infinity)

16. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
negative inverse
even
C>1 - horizontal shrinking

17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal
45 degree angle

18. What is the domain of an identity function?
20+.05x=5+.10x x=minutes
f(x)=+c and f(x)-c
Yes - all the domains points to one range
(-infinity - +infinity)

19. Of the seven of algebra's common graph's how many are even?
up
Absolute Value - Constant and Standard Quadratic
postiive slope
(-infinity - +infinity)

20. What is the range of the constant function?
Y
The single number y=
A line passing through two distinct points
C>1 - horizontal shrinking

21. What type of line is a constant function?
Yes - all the domains points to one range
horizontal
Y=b
m

22. f(x) = x^2+3x+5 - what type of formula is this?
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
Cannot be drawn in quizlet
function notation
x=a

23. Why can h not equal zero in the difference of a quotient function formula?
f(x^1)=f(x^2)
The secant line
Y
because the demintor of a quotient can never equal zero

24. What are the four steps for finding the inverse of a function?
The first set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
postiive slope

25. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?
even
C>1 - horizontal shrinking

26. What is the domain of the cube root function?
zero slope
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
undefined slope

27. 4(x-7)=4x+28 is what type of an equation?
20+.05x=5+.10x x=minutes
Y=10
Cannot be drawn in quizlet
inconsitent

28. What is an identity function?
45 degree angle
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points
even

29. What is a constant function?
Any set of ordered pairs
f(x^1)=f(x^2)
parabola - up one and right three
in a quotient

30. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

31. What is the domain for an absolute value function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x

32. how many ranges can you have for each domain?
only one
Absolute Value - Constant and Standard Quadratic
45 degree angle
1 -2 -3

33. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
horizontal
inconsistant
The opposite coordinates

34. Of the seven of algebra's common graph's how many are neither?
odd
Square Root
Yes because two x's or domains can point to one y
4 -6 -9

35. What are the four steps for solving a linear equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.
parraelle line
neither

36. What are the calculator instructions for absolute value?
even
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]U[0 - +infinity)
negative slope

37. Is a constant function even - odd or neither?
even
negative inverse
Conditional
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.

38. what is the letter used to represent slope?
inconsitent
m
odd
(-infinity - 0]U[0 - +infinity)

39. What are two examples of composit functions?
Cannot be drawn in quizlet
Cannot be drawn in quizlet
(-infinity - +infinity)
f of g and g of f

40. What type of slope do you have when m=? and the line is vertical?
undefined slope
only one
perpendicular line
identity

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
because the demintor of a quotient can never equal zero
identity
Yes - all the domains points to one range
even

42. What is the slope of a perpendicular line?
Mirror image neg quadrant to that of the positive quandrant
Absolute Value - Constant and Standard Quadratic
The single number y=
negative inverse

43. Draw or discuss a decreasing function
Y=IxI
parabola - up one and right three
same
Cannot be drawn in quizlet

44. 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.
f(x+h)-f(x)/h h cannot equal zero
math 4 x - graph
(-infinity - +infinity)

45. Which direction does f(x-c) move
x^2
zero slope
The secant line
horizontal right

46. Two vertical lines side by side are a symbol for what
down
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
parraelle line
horizontal left

47. what can never equal zero in the slope formula and why?
A line passing through two distinct points
[0 -+infinity)
Yes because two x's or domains can point to one y
x2-x1 because the demonaitor of a quotient can never equal zero

48. What type of slope do you have when the line is horizontal and m=0?
zero slope
Y
negative inverse
no because you cannot have one domain pointing at two y's or ranges

49. 4x+5x=8x is what type of an equation?
odd
Mirror image neg quadrant to that of the positive quandrant
f(x) = x
Conditional

50. What are the steps for solving a word problem?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
neither
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 - +infinity)