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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. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Line ascending to the right gradually
The secant line
20+.05x=5+.10x x=minutes

2. What does the graph of the cube root function look like on the graph?
identity
Approach neg toward x through zero and above positive close to x
odd
down

3. What does the absolute value function look like?
A V
even
(-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.

4. y=f(cx) what does this formula represent?
x = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. What is the vertical line formula?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
x=a
perpendicular line

6. What is a domain?
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
Y=x - identity function
The first set of components of an ordered pair
The second set of components of an ordered pair

7. Of the seven of algebra's common graph's how many are neither?
Square Root
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
Y=10

8. What is the formula for to calculate the difference of a quotient function?
f(x+c) and f(x-c)
down
f(x+h)-f(x)/h h cannot equal zero
The secant line

9. What is the vertical line test?
(-infinity - +infinity)
The secant line
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

10. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
even
20+.05x=5+.10x x=minutes

11. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2
m
Y=b

12. What is the range of the cube root function?
45 degree angle
Piecewise
(-infinity - +infinity)
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

13. how many domains can you have pointing to one range?
[0 -+infinity)
As many as you like
(-infinity - +infinity)
undefined slope

14. how many ranges can you have for each domain?
only one
Piecewise
4 -6 -9
even

15. What is the domain for an absolute value function?
identity
same
(-infinity - +infinity)
Piecewise

16. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Y=IxI
undefined slope
Conditional

17. What is the domain of a square root function?
As many as you like
As equations
[0 -+infinity)
up

18. x= a real number is what type of equation?
(-infinity - +infinity)
Conditional
Y= then enter the number then press graph
Line ascending to the right gradually

19. What is the domain of an identity function?
f(x)=3 square root x
2nd key - x^2 - graph
horizontal left
(-infinity - +infinity)

20. Of the seven of algebra's common graph's how many are odd?
odd
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. What are the algebra of functions?
even
f(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x
inconsistant

22. What is the standard quadratic function?
postiive slope
undefined
x^2
in a quotient

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
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
f(x)=x^3

24. Standard absolute value - horizontal shift formulas for left and right
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.
f(x+c) and f(x-c)
f(x)=3 square root x
Line ascending to the right gradually

25. What type of line is an identity function?
horizontal
Equation of a line
f(x)=+c and f(x)-c
45 degree angle

26. Which direction does f(x-c) move
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Any set of ordered pairs
Y=x - identity function
horizontal right

27. What is a constant function?
even
Y
f(x^1)=f(x^2)
f of g and g of f

28. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
negative slope
odd
Yes - all the domains points to one range
f(x)=3 square root x

29. What type of line is a constant function?
horizontal
odd
The first set of components of an ordered pair
C>1 - horizontal shrinking

30. What type of slope do you have when a line falls left to right and m<0?
(-infinity - 0]U[0 - +infinity)
negative slope
Cannot be drawn in quizlet
Y=b

31. What is the average rate of change formula?
Approach neg toward x through zero and above positive close to x
A V
horizontal right
f(x2)-f(x1) / x2-x1

32. What equation does every line have? Discuss the variables.
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.

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

34. What points do you use to plot the inverse on a graph?
zero slope
up
math 4 x - graph
The opposite coordinates

35. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
f(x+c) and f(x-c)
identity
Piecewise

36. what can never equal zero in the slope formula and why?
postiive slope
x2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs
Y=b

37. What are the four steps for solving a linear equation?
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
perpendicular line
2nd key - x^2 - graph

38. What are the calculator instructions for the standard cubic function?
Y=IxI
Piecewise
2nd catalog (zero key -) abs(x) - graph
x math 3 graph

39. Two vertical lines side by side are a symbol for what
parraelle line
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
f(x)=IxI
4 -6 -9

40. $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?
Y
postiive slope
parraelle line
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

41. Is an identity function even - odd or neither?
odd
A line passing through two distinct points
math 4 x - graph
f(x2)-f(x1) / x2-x1

42. Standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
f(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

43. Of the seven of algebra's common graph's how many are even?
x math 3 graph
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Absolute Value - Constant and Standard Quadratic

44. What does the standard cubic function look like on a graph?
undefined slope
The first set of components of an ordered pair
inconsitent
Mirror image neg quadrant to that of the positive quandrant

45. What type of slope do vertical lines have?
f(x)=+c and f(x)-c
undefined
zero slope
negative slope

46. What type of line is a constant function?
As many as you like
horizontal
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x

47. y=f(cx) - what does this formula represent?
parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
2nd key - x^2 - graph

48. What is the formula for an absolute value function?
The slope of a line containing two points
f(x)=IxI
parabola - up one and right three
Cannot be drawn in quizlet

49. What is the slope of a perpendicular line?
4 -6 -9
Approach neg toward x through zero and above positive close to x
even
negative inverse

50. Which direction does f(x)=+c move in standard absolute value formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
up
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x