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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. x= a real number is what type of equation?
Conditional
perpendicular line
(-infinity - +infinity)
up

2. What type of slope do you have when a line rises from left to right and m>0?
down
x is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=
postiive slope

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
in a quotient
horizontal right
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

4. What is the range of a square root function?
odd
[0 -+infinity)
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x

5. What is the slope of a perpendicular line?
negative inverse
Square Root
Three odd - cube root - identity - standard cubic
45 degree angle

6. Draw or discuss a decreasing function
horizontal right
Three odd - cube root - identity - standard cubic
undefined slope
Cannot be drawn in quizlet

7. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

8. What is the domain of an identity function?
(-infinity - +infinity)
same
Conditional
When does a graph not define y as a function of x?

9. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Y=x - identity function
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant

10. 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?
Cannot be drawn in quizlet
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
A V

11. What type of slope do you have when the line is horizontal and m=0?
zero slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
neither

12. In an identity function if f(10)=x than what is y?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Y=10

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
perpendicular line
Y=IxI
negative slope
1 -2 -3

14. What points do you use to plot the inverse on a graph?
The opposite coordinates
in a quotient
(-infinity - +infinity)
m

15. What are the calculator instructions for the cube root function?
0<c<1 - horizontal stretching
parabola - up one and right three
Y=IxI
math 4 x - graph

16. What is the formula for an identity function?
Y=x^2 - graph
even
f(x) = x
(-infinity - +infinity)

17. What is the range of an identity function?
(-infinity - +infinity)
identity
2nd catalog (zero key -) abs(x) - graph
x^2

18. What is the vertical line formula?
Mirror image neg quadrant to that of the positive quandrant
2nd catalog (zero key -) abs(x) - graph
f(x)=3 square root x
x=a

19. What is the domain of the cube root function?
Conditional
f(x)=x^3
f(x)=suare root of x
(-infinity - +infinity)

20. What type of slope do you have when m=? and the line is vertical?
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.
As equations
undefined slope
The slope of a line containing two points

21. What is the range for the standard cubic function?
The opposite coordinates
(-infinity - +infinity)
C>1 - horizontal shrinking
The second set of components of an ordered pair

22. 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
Cannot be drawn in quizlet
2nd key - x^2 - graph
A V

23. y=f(cx) what does this formula represent?
x is the hours to repair the boat. $1603-532=anwser/63 = x
A line passing through two distinct points
The opposite coordinates
0<c<1 - horizontal stretching

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

25. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
f(x)=suare root of x
Y=x - identity function
x=a

26. What type of slope do vertical lines have?
undefined
parraelle line
The opposite coordinates
Y=10

27. y=f(cx) - what does this formula represent?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
neither
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)

28. $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?
(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
horizontal

29. What is a domain?
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
(-infinity - +infinity)
The first set of components of an ordered pair
(-infinity - +infinity)

30. What is the domain for an absolute value function?
(-infinity - +infinity)
f(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
zero slope

31. how many domains can you have pointing to one range?
2nd key - x^2 - graph
As many as you like
identity
Equation of a line

32. What shape is the standard quadratic function?
parabola
f of g and g of f
(-infinity - +infinity)
Conditional

33. What is the slope intercept formula? Define all the variables.
parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10

34. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points

35. What is the range for an absolute value function?
Conditional
x^2
(-infinity - 0]U[0 - +infinity)
45 degree angle

36. how many ranges can you have for each domain?
only one
Absolute Value - Constant and Standard Quadratic
f(x^1)=f(x^2)
Square Root

37. Of the seven of algebra's common graph's how many are neither?
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)
The second set of components of an ordered pair
Square Root

38. What is the formula for the square root function?
[0 -+infinity)
Yes - all the domains points to one range
f(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What is the formula for the standard cubic function?
Y=x^2 - graph
f(x^1)=f(x^2)
As many as you like
f(x)=x^3

40. x=all real numbers is what type of an equation?
identity
As many as you like
f(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points

41. x=no real numbers is what type of an equation?
inconsistant
function notation
Yes because two x's or domains can point to one y
only one

42. What is the range of the constant function?
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic
As equations

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

44. What type of line is a constant function?
horizontal
[0 -+infinity)
even
A line passing through two distinct points

45. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)
x math 3 graph
neither

46. How do you calculate a constant function in your calculator?
f(x)=suare root of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph
even

47. Which direction does f(x+c) move
Y=x^2 - 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
horizontal left
odd

48. What is the formula for to calculate the difference of a quotient function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+c) and f(x-c)
x^2
f(x+h)-f(x)/h h cannot equal zero

49. what is the formula for slope?
Yes because two x's or domains can point to one y
f(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1
parraelle line

50. What type of line is an identity function?
f of g and g of f
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.
45 degree angle
identity