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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 are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Cannot be drawn in quizlet

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

3. Is the square root function odd - even or neither?
Three odd - cube root - identity - standard cubic
Y
inconsitent
neither

4. Draw or discuss an increasing function
horizontal
Cannot be drawn in quizlet
2nd key - x^2 - 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

5. What are two examples of composit functions?
[0 -+infinity)
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
f of g and g of f
x^2

6. What is a relation?
inconsistant
Any set of ordered pairs
up
f(x)=x^3

7. How would this formula move f(x)=(x+1)^2-3
Conditional
identity
parabola - up one and right three
(-infinity - +infinity)

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

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

10. Which direction does f(x)=+c move in standard absolute value formula?
zero slope
Cannot be drawn in quizlet
Y= then enter the number then press graph
up

11. What type of line is an identity function?
As many as you like
(-infinity - +infinity)
Y=10
45 degree angle

12. What is the range for a standard quadratic function?
neither
(-infinity - 0]U[0 - +infinity)
Conditional
x=a

13. In an identity function if f(10)=x than what is y?
Y=10
Yes - all the domains points to one range
f(x)=IxI
down

14. 4(x-7)=4x+28 is what type of an equation?
As equations
horizontal
inconsitent
even

15. Two vertical lines side by side are a symbol for what
up
undefined
The single number y=
parraelle line

16. What type of slope do you have when m=? and the line is vertical?
Yes because two x's or domains can point to one y
undefined slope
inconsitent
horizontal left

17. Standard absolute value - vertical shift formulas for positve and negative
parraelle line
horizontal right
f(x)=+c and f(x)-c
down

18. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x=a
negative inverse

19. Which direction does f(x-c) move
horizontal right
Y= then enter the number then press graph
2nd key - x^2 - graph
45 degree angle

20. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
horizontal
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.

21. What is the domain for an absolute value function?
function notation
(-infinity - +infinity)
x math 3 graph
odd

22. how many domains can you have pointing to one range?
f(x+h)-f(x)/h h cannot equal zero
As many as you like
horizontal right
f(x)=3 square root x

23. what can never equal zero in the slope formula and why?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
identity
x is the hours to repair the boat. $1603-532=anwser/63 = x

24. Of the seven of algebra's common graph's how many are odd?
Y=x - identity function
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
As equations

25. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity

26. What is another way of writing the absolute value function?
Y=IxI
Conditional
f(x+c) and f(x-c)
45 degree angle

27. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
math 4 x - graph
x = the original sale price and the formula is x - .40x =$276
Piecewise
Cannot be drawn in quizlet

28. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
45 degree angle
down
(-infinity - 0]U[0 - +infinity)

29. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
x = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph

30. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
f(x2)-f(x1) / x2-x1
f(x)=x^3

31. Is an identity function even - odd or neither?
Square Root
horizontal left
odd
f(x+h)-f(x)/h h cannot equal zero

32. Draw or discuss a constant function
The secant line
(-infinity - +infinity)
Cannot be drawn in quizlet
f(x)=x^3

33. x=no real numbers is what type of an equation?
Three odd - cube root - identity - standard cubic
even
inconsistant
f(x+c) and f(x-c)

34. 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
Y
Three odd - cube root - identity - standard cubic

35. What can we substitute for f(x)?
even
(-infinity - 0]U[0 - +infinity)
undefined slope
Y

36. f(x) = x^2+3x+5 - what type of formula is this?
Yes - all the domains points to one range
function notation
only one
As equations

37. what is the formula for slope?
x = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

38. What is the formula for an identity function?
even
[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.
f(x) = x

39. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
only one
Piecewise
Square Root

40. When is the only time (-infinity - +infinity) is not the domain?
neither
4 -6 -9
f(x)=suare root of x
in a quotient

41. What is the standard quadratic function?
[0 -+infinity)
x^2
C>1 - horizontal shrinking
f(x)=suare root of x

42. What does the standard cubic function look like on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Conditional

43. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three
As equations
identity

44. What does the absolute value function look like?
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.
A V
The slope of a line containing two points
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

45. Draw or discuss a decreasing function
f(x)=3 square root x
odd
function notation
Cannot be drawn in quizlet

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

47. What does the average rate of change formula solve?
even
The slope of a line containing two points
(-infinity - +infinity)
f(x)=x^3

48. What is the range of an identity function?
(-infinity - +infinity)
up
zero slope
even

49. What is the slope of a perpendicular line?
Conditional
negative inverse
The first set of components of an ordered pair
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
(-infinity - +infinity)
1 -2 -3
Any set of ordered pairs