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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. 4(x-7)=4x-28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

2. What type of slope do you have when a line rises from left to right and m>0?
zero slope
down
(-infinity - +infinity)
postiive slope

3. What type of line is an identity function?
Yes - all the domains points to one range
45 degree angle
Absolute Value - Constant and Standard Quadratic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

4. What type of slope do you have when a line falls left to right and m<0?
As many as you like
negative slope
45 degree angle
The secant line

5. Is the standard cubic function odd - even or neither?
Conditional
odd
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

6. How do you graph Ax+By+C=0?
f(x)=+c and f(x)-c
Any set of ordered pairs
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

7. What is the slope intercept formula? Define all the variables.
negative inverse
(-infinity - +infinity)
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. x= a real number is what type of equation?
x=a
Conditional
0<c<1 - horizontal stretching
(-infinity - +infinity)

9. What is the formula in both horizontal stretching and horizontal shrinking?
1 -2 -3
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x^1)=f(x^2)

10. What are two examples of composit functions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f
Y= then enter the number then press graph
Square Root

11. 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?
45 degree angle
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
x is the hours to repair the boat. $1603-532=anwser/63 = x
Three odd - cube root - identity - standard cubic

12. f(x) = x^2+3x+5 - what type of formula is this?
Y= then enter the number then press graph
identity
only one
function notation

13. 4x+5x=8x is what type of an equation?
Conditional
undefined
C>1 - horizontal shrinking
A line passing through two distinct points

14. What is the point slope formula and when do you use it?
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
(-infinity - +infinity)

15. x=all real numbers is what type of an equation?
Conditional
45 degree angle
identity
up

16. What type of slope do you have when the line is horizontal and m=0?
zero slope
(-infinity - +infinity)
The second set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)

17. What is the range of the cube root function?
Y=b
Absolute Value - Constant and Standard Quadratic
As equations
(-infinity - +infinity)

18. What is the domain for a standard quadratic function?
because the demintor of a quotient can never equal zero
Y=IxI
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

19. y=f(cx) what does this formula represent?
f(x^1)=f(x^2)
0<c<1 - horizontal stretching
The single number y=
f(x)=suare root of x

20. Is an absolute value function even - odd or neither?
f(x^1)=f(x^2)
(-infinity - +infinity)
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.
even

21. What does linear equation mean?
Equation of a line
Piecewise
0<c<1 - horizontal stretching
function notation

22. What can we substitute for f(x)?
same
no because you cannot have one domain pointing at two y's or ranges
Y=x - identity function
Y

23. Is the square root function odd - even or neither?
neither
2nd key - x^2 - graph
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

24. What is the slope of a perpendicular line?
horizontal
negative inverse
(-infinity - +infinity)
f(x^1)=f(x^2)

25. What is the range for a standard quadratic function?
f(x)=suare root of x
same
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes

26. Which direction does f(x-c) move
horizontal right
Y=IxI
Yes - all the domains points to one range
Y

27. What type of line is a constant function?
20+.05x=5+.10x x=minutes
horizontal
f(x+h)-f(x)/h h cannot equal zero
Conditional

28. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
x is the hours to repair the boat. $1603-532=anwser/63 = x
x^2
The secant line

29. What is the domain for the standard cubic function?
Conditional
(-infinity - +infinity)
neither
When does a graph not define y as a function of x?

30. What shape is the standard quadratic function?
postiive slope
When does a graph not define y as a function of x?
parabola
The second set of components of an ordered pair

31. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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)
4 -6 -9
f(x+c) and f(x-c)

32. What is a constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
f(x^1)=f(x^2)
inconsitent

33. What is the formula for an absolute value function?
45 degree angle
f(x)=IxI
Absolute Value - Constant and Standard Quadratic
same

34. Is a constant function even - odd or neither?
f(x+h)-f(x)/h h cannot equal zero
even
Yes because two x's or domains can point to one y
Y=IxI

35. What is the vertex?
0<c<1 - horizontal stretching
The minimum or maximum points
(-infinity - +infinity)
Y=x^2 - graph

36. What is another way to write f(x)=x - what type of function is this?
in a quotient
Y=x - identity function
Piecewise
Mirror image neg quadrant to that of the positive quandrant

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y= then enter the number then press graph
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
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

38. What is the range of an identity function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
x=a
f(x^1)=f(x^2)

39. What does the average rate of change formula solve?
Conditional
The slope of a line containing two points
even
parabola - up one and right three

40. What does the square root function look like on a graph?
The secant line
Line ascending to the right gradually
Conditional
[0 -+infinity)

41. What is a domain?
The secant line
perpendicular line
45 degree angle
The first set of components of an ordered pair

42. What is the domain of the cube root function?
The opposite coordinates
(-infinity - +infinity)
horizontal left
m

43. What is the vertical line test?
Cannot be drawn in quizlet
A V
m
When does a graph not define y as a function of x?

44. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
f(x)=suare root of x

45. How are functions normally written?
2nd catalog (zero key -) abs(x) - graph
As equations
Y
x = the original sale price and the formula is x - .40x =$276

46. What is the average rate of change formula?
Piecewise
The minimum or maximum points
f(x2)-f(x1) / x2-x1
negative slope

47. What is the domain of an identity function?
(-infinity - 0]U[0 - +infinity)
Conditional
(-infinity - +infinity)
f(x^1)=f(x^2)

48. What are the calculator instructions for a square root function?
f(x2)-f(x1) / x2-x1
Any set of ordered pairs
Line ascending to the right gradually
2nd key - x^2 - graph

49. Standard absolute value - horizontal shift formulas for left and right
inconsitent
f(x+c) and f(x-c)
f(x)=+c and f(x)-c
f(x)=IxI

50. What type of line is a constant function?
zero slope
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
horizontal