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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. Why can h not equal zero in the difference of a quotient function formula?
undefined slope
because the demintor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1
f(x+h)-f(x)/h h cannot equal zero

2. What is the slope of a perpendicular line?
(-infinity - +infinity)
odd
undefined slope
negative inverse

3. What type of line is an identity function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair
45 degree angle

4. What are the calculator instructions for a square root function?
horizontal right
math 4 x - graph
2nd key - x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

5. What type of slope do you have when m=? and the line is vertical?
zero slope
f(x)=suare root of x
A line passing through two distinct points
undefined slope

6. What are the steps for solving a word problem?
Y=IxI
up
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

7. what can never equal zero in the slope formula and why?
f(x)=x^3
horizontal
The single number y=
x2-x1 because the demonaitor of a quotient can never equal zero

8. What is the formula for the square root function?
inconsistant
0<c<1 - horizontal stretching
f of g and g of f
f(x)=suare root of x

9. 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?
Yes because two x's or domains can point to one y
x is the hours to repair the boat. $1603-532=anwser/63 = x
x2-x1 because the demonaitor of a quotient can never equal zero
zero slope

10. What is another way of writing the absolute value function?
undefined slope
f(x+h)-f(x)/h h cannot equal zero
Y=IxI
Y=b

11. What is the range for the standard cubic function?
As equations
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

12. What is the vertex?
parabola
f(x)=3 square root x
The minimum or maximum points
f of g and g of f

13. What does the standard cubic function look like on a graph?
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal right

14. What is the range of the cube root function?
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
f(x)=+c and f(x)-c

15. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
A line passing through two distinct points
Yes because two x's or domains can point to one y
The minimum or maximum points

16. What can we substitute for f(x)?
Y
When does a graph not define y as a function of x?
2nd key - x^2 - graph
Equation of a line

17. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
undefined slope
The slope of a line containing two points
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

18. Of the seven of algebra's common graph's how many are odd?
horizontal
[0 -+infinity)
Three odd - cube root - identity - standard cubic
odd

19. Which direction does f(x-c) move
horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
neither
1 -2 -3

20. What are the calculator instructions for a standard quadratic equation?
down
horizontal right
x = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph

21. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd
f(x2)-f(x1) / x2-x1

22. f(x) = x^2+3x+5 - what type of formula is this?
function notation
negative inverse
even
x is the hours to repair the boat. $1603-532=anwser/63 = x

23. What direction does f(x)-c move in standard absolute value formula?
4 -6 -9
f(x+c) and f(x-c)
Absolute Value - Constant and Standard Quadratic
down

24. What is the formula for an identity function?
f(x)=IxI
When does a graph not define y as a function of x?
A V
f(x) = x

25. What type of slope do horizontal lines have?
(-infinity - +infinity)
(-infinity - +infinity)
same
Equation of a line

26. what is a range?
odd
4 -6 -9
The second set of components of an ordered pair
Y=IxI

27. What type of slope do you have when a line rises from left to right and m>0?
x math 3 graph
postiive slope
Yes - all the domains points to one range
f(x+c) and f(x-c)

28. When is the only time (-infinity - +infinity) is not the domain?
Absolute Value - Constant and Standard Quadratic
even
Line ascending to the right gradually
in a quotient

29. Draw or discuss a constant function
up
Y
no because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet

30. What does linear equation mean?
Equation of a line
Yes because two x's or domains can point to one y
parabola - up one and right three
zero slope

31. x=all real numbers is what type of an equation?
identity
Three odd - cube root - identity - standard cubic
x is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional

32. What are the calculator instructions for the standard cubic function?
f(x^1)=f(x^2)
Conditional
x math 3 graph
(-infinity - +infinity)

33. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
f(x) = x
(-infinity - +infinity)
Square Root

34. Is a constant function even - odd or neither?
even
f(x)=3 square root x
As many as you 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.

35. Is an identity function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
identity
Yes - all the domains points to one range
odd

36. What is the domain for an absolute value function?
Line ascending to the right gradually
parabola
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

37. What is a function?
45 degree angle
x is the hours to repair the boat. $1603-532=anwser/63 = x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
undefined

38. What is the range of the constant function?
undefined slope
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=
x is the hours to repair the boat. $1603-532=anwser/63 = x

39. x=no real numbers is what type of an equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
inconsistant

40. What type of slope do vertical lines have?
undefined
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates
[0 -+infinity)

41. Is an absolute value function even - odd or neither?
f(x)=suare root of x
only one
f(x) = x
even

42. What is the range of a square root function?
[0 -+infinity)
x^2
f(x)=suare root of x
up

43. What is the standard quadratic function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsitent
x^2
x math 3 graph

44. 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
(-infinity - +infinity)
Y=b
undefined

45. 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
A line passing through two distinct points
Conditional
f(x^1)=f(x^2)

46. 4x+5x=8x is what type of an equation?
f(x)=suare root of x
function notation
Conditional
down

47. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Cannot be drawn in quizlet
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

48. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
45 degree angle
Y=10

49. How would this formula move f(x)=(x+1)^2-3
postiive slope
parabola - up one and right three
(-infinity - +infinity)
Equation of a line

50. What is the domain and range of a constant function?
identity
The slope of a line containing two points
(-infinity - +infinity)
The first set of components of an ordered pair