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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. Of the seven of algebra's common graph's how many are neither?
When does a graph not define y as a function of x?
x^2
Square Root
identity

2. how many domains can you have pointing to one range?
A line passing through two distinct points
horizontal
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
As many as you like

3. How are functions normally written?
The slope of a line containing two points
negative slope
As equations
even

4. What are the calculator instructions for absolute value?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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
0<c<1 - horizontal stretching

5. What is the domain for the standard cubic function?
Approach neg toward x through zero and above positive close to x
As equations
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)

6. x=all real numbers is what type of an equation?
identity
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
The minimum or maximum points

7. Is a constant function even - odd or neither?
inconsitent
even
(-infinity - 0]U[0 - +infinity)
f of g and g of f

8. What are the calculator instructions for a standard quadratic equation?
undefined slope
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity

9. Which direction does f(x)=+c move in standard absolute value formula?
up
f(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph
x=a

10. What are the calculator instructions for a square root function?
Conditional
Cannot be drawn in quizlet
2nd key - x^2 - graph
45 degree angle

11. What is the formula for the cube root function?
The opposite coordinates
f(x)=IxI
horizontal left
f(x)=3 square root x

12. What type of line is a constant function?
The second set of components of an ordered pair
Y
horizontal
same

13. What are the four steps for solving a linear equation?
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
Y=10
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.

14. What is the range of a square root function?
[0 -+infinity)
Yes because two x's or domains can point to one y
The single number y=
identity

15. What is the domain and range of a constant function?
f(x)=x^3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

16. Draw or discuss a constant function
f of g and g of f
Piecewise
function notation
Cannot be drawn in quizlet

17. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - +infinity)
down
(-infinity - +infinity)

18. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
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
parabola - up one and right three
inconsistant

19. What is the slope of a perpendicular line?
identity
negative inverse
negative slope
As equations

20. A flat line underlining one vertical line is a symbol for
Square Root
Yes because two x's or domains can point to one y
The single number y=
perpendicular line

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

22. What type of slope do you have when a line rises from left to right and m>0?
horizontal left
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.
postiive slope
inconsitent

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

24. What type of line is a constant function?
horizontal
Y= then enter the number then press graph
function notation
zero slope

25. Is an absolute value function even - odd or neither?
even
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
A V

26. What is the point slope formula and when do you use it?
in a quotient
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

27. $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?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
Square Root
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

28. what is the letter used to represent slope?
m
4 -6 -9
x math 3 graph
The first set of components of an ordered pair

29. What is the range of an identity function?
Conditional
Y=x^2 - graph
A line passing through two distinct points
(-infinity - +infinity)

30. What is the domain for a standard quadratic function?
The opposite coordinates
When does a graph not define y as a function of x?
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
(-infinity - +infinity)

31. What type of function would you use to calculate the most advantageous cell phone plan?
even
Piecewise
Yes because two x's or domains can point to one y
negative slope

32. What is the formula for an absolute value function?
inconsitent
f(x)=IxI
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=a

33. What does linear equation mean?
f(x2)-f(x1) / x2-x1
Equation of a line
Y=10
undefined slope

34. What type of slope do you have when m=? and the line is vertical?
f(x)=suare root of x
undefined slope
(-infinity - +infinity)
odd

35. What is the domain of a square root function?
1 -2 -3
[0 -+infinity)
Y= then enter the number then press graph
m

36. What is the vertical line formula?
45 degree angle
x=a
[0 -+infinity)
(-infinity - +infinity)

37. What is the standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
x^2
inconsitent
(-infinity - +infinity)

38. 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?
parabola
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

39. What does the graph of the cube root function look like on the graph?
C>1 - horizontal shrinking
even
parraelle line
Approach neg toward x through zero and above positive close to x

40. What is the domain of the cube root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
undefined
Cannot be drawn in quizlet

41. What is the domain of an identity function?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Piecewise
f(x)=x^3

42. What type of slope do vertical lines have?
f(x) = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
undefined
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

43. What is the vertex?
1 -2 -3
horizontal left
(-infinity - +infinity)
The minimum or maximum points

44. What are the calculator instructions for the standard cubic function?
postiive slope
Approach neg toward x through zero and above positive close to x
x math 3 graph
4 -6 -9

45. What direction does f(x)-c move in standard absolute value formula?
neither
only one
down
f(x+c) and f(x-c)

46. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
horizontal
f(x)=+c and f(x)-c
Mirror image neg quadrant to that of the positive quandrant

47. Is an identity function even - odd or neither?
Yes - all the domains points to one range
odd
zero slope
even

48. y=f(cx) what does this formula represent?
(-infinity - 0]U[0 - +infinity)
As equations
0<c<1 - horizontal stretching
[0 -+infinity)

49. Standard absolute value - vertical shift formulas for positve and negative
0<c<1 - horizontal stretching
(-infinity - 0]U[0 - +infinity)
even
f(x)=+c and f(x)-c

50. what is the formula for slope?
even
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?