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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 shape is the standard quadratic function?
parabola
parraelle line
Cannot be drawn in quizlet
horizontal right

2. y=f(cx) - what does this formula represent?
x=a
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking

3. What is a relation?
Cannot be drawn in quizlet
f(x)=suare root of x
Any set of ordered pairs
identity

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

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5. Why can h not equal zero in the difference of a quotient function formula?
Y= then enter the number then press graph
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
because the demintor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1

6. x= a real number is what type of equation?
Conditional
Cannot be drawn in quizlet
Piecewise
Mirror image neg quadrant to that of the positive quandrant

7. how many ranges can you have for each domain?
only one
inconsitent
inconsistant
odd

8. 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
horizontal
Conditional
inconsitent

9. What direction does f(x)-c move in standard absolute value formula?
down
Line ascending to the right gradually
undefined slope
f(x^1)=f(x^2)

10. A flat line underlining one vertical line is a symbol for
perpendicular line
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
x math 3 graph
(-infinity - +infinity)

11. What are the calculator instructions for the cube root function?
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.
math 4 x - graph
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)

12. Of the seven of algebra's common graph's how many are odd?
even
Three odd - cube root - identity - standard cubic
even
Set the x and y to zero and get the intercepts and then plot the points

13. What is the domain for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=x^3
(-infinity - +infinity)
even

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

15. What is the range of the constant function?
The single number y=
postiive slope
Set the x and y to zero and get the intercepts and then plot the points
f(x)=suare root of x

16. What does linear equation mean?
A line passing through two distinct points
Y=b
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.
Equation of a line

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
undefined
Y
0<c<1 - horizontal stretching

18. What is the formula for the standard cubic function?
(-infinity - +infinity)
f(x)=x^3
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x=a
Yes - all the domains points to one range
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

20. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
f(x)=3 square root x
x2-x1 because the demonaitor of a quotient can never equal zero
x math 3 graph

21. What type of slope do you have when the line is horizontal and m=0?
math 4 x - graph
The secant line
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
zero slope

22. What are the steps for solving a word problem?
Cannot be drawn in quizlet
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
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
because the demintor of a quotient can never equal zero

23. What can we substitute for f(x)?
(-infinity - +infinity)
f(x+c) and f(x-c)
down
Y

24. What is the range of the cube root function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
odd

25. Is an identity function even - odd or neither?
The second set of components of an ordered pair
The first set of components of an ordered pair
odd
(-infinity - +infinity)

26. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
identity
Absolute Value - Constant and Standard Quadratic
Y=b

27. What is the formula for an identity function?
math 4 x - graph
Approach neg toward x through zero and above positive close to x
The secant line
f(x) = x

28. What type of line is a constant function?
horizontal
2nd key - x^2 - graph
f(x)=suare root of x
1 -2 -3

29. x=all real numbers is what type of an equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
The second set of components of an ordered pair
identity
odd

30. What is the domain of an identity function?
45 degree angle
The single number y=
(-infinity - +infinity)
undefined slope

31. What is the slope of a perpendicular line?
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
Three odd - cube root - identity - standard cubic
negative inverse
f(x)=IxI

32. what is a range?
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
Y
The second set of components of an ordered pair
A V

33. How do you graph Ax+By+C=0?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
Set the x and y to zero and get the intercepts and then plot the points
zero slope

34. Of the seven of algebra's common graph's how many are even?
The slope of a line containing two points
only one
x=a
Absolute Value - Constant and Standard Quadratic

35. What is the domain for an absolute value function?
(-infinity - 0]U[0 - +infinity)
neither
Conditional
(-infinity - +infinity)

36. what is the letter used to represent slope?
m
odd
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic

37. Which direction does f(x)=+c move in standard absolute value formula?
math 4 x - graph
up
no because you cannot have one domain pointing at two y's or ranges
1 -2 -3

38. What is the vertical line formula?
parabola
x=a
The first set of components of an ordered pair
Y= then enter the number then press graph

39. Is an absolute value function even - odd or neither?
no because you cannot have one domain pointing at two y's or ranges
even
(-infinity - +infinity)
undefined

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
inconsitent
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
The secant line

41. How do you calculate a constant function in your calculator?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
f(x)=suare root of x
(-infinity - +infinity)

42. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
2nd key - x^2 - graph
parraelle line
parabola - up one and right three

43. 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
down
f(x2)-f(x1) / x2-x1
Y=10

44. What is the range of an identity function?
horizontal
Conditional
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

45. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x^2 - graph
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)

46. What type of line is an identity function?
f(x)=x^3
As equations
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle

47. What does the average rate of change formula solve?
f(x) = x
undefined slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points

48. What are the algebra of functions?
Any set of ordered pairs
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Y

49. 4x+5x=8x is what type of an equation?
The single number y=
Conditional
Y
Piecewise

50. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
[0 -+infinity)
odd
The single number y=