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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 type of line is a constant function?
horizontal
As equations
(-infinity - +infinity)
parabola - up one and right three

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

3. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
Conditional
[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

4. what is the letter used to represent slope?
perpendicular line
m
same
(f+g) - (f-g) - (fg) - (f/g) all of x

5. What is the range of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The second set of components of an ordered pair
Y=10

6. 4(x-7)=4x+28 is what type of an equation?
1 -2 -3
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsitent
[0 -+infinity)

7. What is the formula for the square root function?
Y=IxI
45 degree angle
f(x)=suare root of x
The slope of a line containing two points

8. What is the domain for a standard quadratic function?
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)
same
Mirror image neg quadrant to that of the positive quandrant

9. What is the standard quadratic function?
horizontal
x^2
Conditional
Cannot be drawn in quizlet

10. what is the formula for slope?
identity
undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI

11. 4x+5x=8x is what type of an equation?
Conditional
only one
Mirror image neg quadrant to that of the positive quandrant
no because you cannot have one domain pointing at two y's or ranges

12. What type of slope do vertical lines have?
f(x)=3 square root x
f(x^1)=f(x^2)
undefined
identity

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
no because you cannot have one domain pointing at two y's or ranges
The secant line
x math 3 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

14. What is a relation?
2nd catalog (zero key -) abs(x) - graph
inconsitent
Any set of ordered pairs
down

15. What is the range for the standard cubic function?
(-infinity - +infinity)
Y=10
Cannot be drawn in quizlet
parabola

16. Which direction does f(x)=+c move in standard absolute value formula?
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
odd
up

17. Draw or discuss a constant function
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276
undefined slope
odd

18. Is the square root function odd - even or neither?
The minimum or maximum points
horizontal
neither
Three odd - cube root - identity - standard cubic

19. What direction does f(x)-c move in standard absolute value formula?
Square Root
down
A V
A line passing through two distinct points

20. Standard absolute value - vertical shift formulas for positve and negative
Absolute Value - Constant and Standard Quadratic
negative slope
even
f(x)=+c and f(x)-c

21. What is the formula for to calculate the difference of a quotient function?
Conditional
even
2nd catalog (zero key -) abs(x) - graph
f(x+h)-f(x)/h h cannot equal zero

22. Draw or discuss an increasing function
inconsitent
Cannot be drawn in quizlet
even
neither

23. What does linear equation mean?
4 -6 -9
Equation of a line
Mirror image neg quadrant to that of the positive quandrant
parraelle line

24. 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
The single number y=
The first set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero

25. Two vertical lines side by side are a symbol for what
When does a graph not define y as a function of x?
x^2
parraelle line
math 4 x - graph

26. Of the seven of algebra's common graph's how many are neither?
The first set of components of an ordered pair
Square Root
f(x)=x^3
Approach neg toward x through zero and above positive close to x

27. Is an absolute value function even - odd or 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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
negative slope

28. 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?
x = the original sale price and the formula is x - .40x =$276
Set the x and y to zero and get the intercepts and then plot the points
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=3 square root x

29. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Approach neg toward x through zero and above positive close to x
The minimum or maximum points
Any set of ordered pairs
20+.05x=5+.10x x=minutes

30. What type of slope do you have when the line is horizontal and m=0?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
zero slope
2nd key - x^2 - graph

31. What type of line is a constant function?
m
horizontal
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.
identity

32. Why can h not equal zero in the difference of a quotient function formula?
even
because the demintor of a quotient can never equal zero
Square Root
When does a graph not define y as a function of x?

33. What points do you use to plot the inverse on a graph?
45 degree angle
The opposite coordinates
parabola - up one and right three
f(x+c) and f(x-c)

34. What is the domain for the standard cubic function?
Y=b
zero slope
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

35. What are the four steps for solving a linear equation?
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
A line passing through two distinct points
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.

36. Is an identity function even - odd or neither?
neither
x math 3 graph
m
odd

37. What does the average rate of change formula solve?
The slope of a line containing two points
(-infinity - +infinity)
function notation
only one

38. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
odd
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

39. What type of slope do you have when m=? and the line is vertical?
[0 -+infinity)
neither
x2-x1 because the demonaitor of a quotient can never equal zero
undefined slope

40. what is a range?
The first set of components of an ordered pair
identity
45 degree angle
The second set of components of an ordered pair

41. What type of slope do you have when a line falls left to right and m<0?
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
neither
negative slope
Yes because two x's or domains can point to one y

42. What are the steps for solving a word problem?
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
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
(-infinity - +infinity)

43. Of the seven of algebra's common graph's how many are even?
The secant line
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
only one

44. Is a constant function even - odd or neither?
even
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=+c and f(x)-c
only one

45. What equation does every line have? Discuss the variables.
The minimum or maximum points
[0 -+infinity)
Three odd - cube root - identity - standard cubic
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.

46. What are two examples of composit functions?
postiive slope
The single number y=
f of g and g of f
Y= then enter the number then press graph

47. What does the absolute value function look like?
only one
The first set of components of an ordered pair
A V
horizontal

48. In an identity function if f(10)=x than what is y?
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
postiive slope
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

49. What are the calculator instructions for the standard cubic function?
A V
A line passing through two distinct points
inconsistant
x math 3 graph

50. 4(x-7)=4x-28 is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
Conditional
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