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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 a domain?
As many as you like
The first set of components of an ordered pair
Y= then enter the number then press graph
[0 -+infinity)

2. What is another way of writing the absolute value function?
When does a graph not define y as a function of x?
Conditional
(-infinity - +infinity)
Y=IxI

3. What is the domain and range of a constant function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
up
45 degree angle

4. What is the average rate of change formula?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
f(x) = x
f(x2)-f(x1) / x2-x1

5. How do you calculate a constant function in your calculator?
parabola
up
f(x)=IxI
Y= then enter the number then press graph

6. 4x+5x=8x is what type of an equation?
Y
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Conditional

7. 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
f(x+c) and f(x-c)
perpendicular line
postiive slope

8. What is a constant function?
Yes - all the domains points to one range
f(x^1)=f(x^2)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

9. What is the formula for an absolute value function?
f(x+c) and f(x-c)
f(x^1)=f(x^2)
f(x)=IxI
x2-x1 because the demonaitor of a quotient can never equal zero

10. What are the four steps for finding the inverse of a 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
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

11. $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?
The opposite coordinates
undefined
Mirror image neg quadrant to that of the positive quandrant
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

12. What is a relation?
Any set of ordered pairs
Square Root
no because you cannot have one domain pointing at two y's or ranges
negative slope

13. What is the slope of a perpendicular line?
identity
zero slope
negative inverse
no because you cannot have one domain pointing at two y's or ranges

14. What is the range of the constant function?
The single number y=
(-infinity - +infinity)
odd
(-infinity - +infinity)

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd key - x^2 - graph
same
Yes - all the domains points to one range
Conditional

16. What type of slope do you have when a line falls left to right and m<0?
Y= then enter the number then press graph
f(x)=suare root of x
x = the original sale price and the formula is x - .40x =$276
negative slope

17. What is the formula for an identity function?
Piecewise
identity
f(x) = x
x^2

18. What is slope?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points
The first set of components of an ordered pair
down

19. What are two examples of composit functions?
f(x)=suare root of x
(-infinity - +infinity)
even
f of g and g of f

20. What is the formula for the square root function?
Yes because two x's or domains can point to one y
f(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
even

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
up
4 -6 -9
inconsitent
function notation

22. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
math 4 x - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined slope

23. What are the calculator instructions for the cube root function?
A V
Mirror image neg quadrant to that of the positive quandrant
math 4 x - graph
Set the x and y to zero and get the intercepts and then plot the points

24. what can never equal zero in the slope formula and why?
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=3 square root x
f of g and g of f

25. Is a constant function even - odd or neither?
even
inconsistant
C>1 - horizontal shrinking
A V

26. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=b
x = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant

27. y=f(cx) what does this formula represent?
x=a
(-infinity - +infinity)
0<c<1 - horizontal stretching
The slope of a line containing two points

28. Is an absolute value function even - odd or neither?
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes
up
even

29. Which direction does f(x+c) move
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
horizontal left
negative slope
The slope of a line containing two points

30. What are the calculator instructions for a square root function?
Y=x - identity function
2nd key - x^2 - graph
As many as you like
The single number y=

31. Of the seven of algebra's common graph's how many are even?
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
Absolute Value - Constant and Standard Quadratic
m
f(x) = x

32. What is the vertical line formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair
x=a
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. Why can h not equal zero in the difference of a quotient function formula?
identity
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - +infinity)

34. How would this formula move f(x)=(x+1)^2-3
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Conditional
parabola - up one and right three

35. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
horizontal left

36. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
C>1 - horizontal shrinking
f(x) = x

37. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20+.05x=5+.10x x=minutes
neither
undefined slope

38. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
[0 -+infinity)
same
even

39. A flat line underlining one vertical line is a symbol for
undefined slope
horizontal
perpendicular line
As many as you like

40. What is the domain of the cube root function?
parraelle line
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
math 4 x - graph

41. Of the seven of algebra's common graph's how many are neither?
Square Root
[0 -+infinity)
m
parabola - up one and right three

42. Draw or discuss an increasing function
(-infinity - +infinity)
Any set of ordered pairs
down
Cannot be drawn in quizlet

43. What type of slope do you have when the line is horizontal and m=0?
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.
x2-x1 because the demonaitor of a quotient can never equal zero
zero slope
inconsistant

44. In an identity function if f(10)=x than what is y?
postiive slope
Y=10
Yes because two x's or domains can point to one y
parabola

45. Which direction does f(x-c) move
up
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal right

46. What is the domain for the standard cubic function?
horizontal right
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

47. What is the formula for to calculate the difference of a quotient function?
x=a
The secant line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+h)-f(x)/h h cannot equal zero

48. What is the formula for the standard cubic function?
f(x)=x^3
x math 3 graph
function notation
f(x^1)=f(x^2)

49. How are functions normally written?
even
0<c<1 - horizontal stretching
As equations
f(x^1)=f(x^2)

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
negative inverse
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
zero slope
1 -2 -3