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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. What direction does f(x)-c move in standard absolute value formula?
down
(-infinity - 0]U[0 - +infinity)
1 -2 -3
Yes - all the domains points to one range

2. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Conditional
x = the original sale price and the formula is x - .40x =$276
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

3. What is a domain?
parraelle line
f(x)=+c and f(x)-c
(-infinity - +infinity)
The first set of components of an ordered pair

4. What is the horizontal line formula?
Y=b
in a quotient
down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

5. In an identity function if f(10)=x than what is y?
Y=10
f(x)=suare root of x
Any set of ordered pairs
Yes - all the domains points to one range

6. What is the formula in both horizontal stretching and horizontal shrinking?
odd
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x2)-f(x1) / x2-x1

7. What type of function would you use to calculate the most advantageous cell phone plan?
in a quotient
Piecewise
only one
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

8. how many domains can you have pointing to one range?
negative inverse
f(x)=+c and f(x)-c
As many as you like
The slope of a line containing two points

9. What is the domain for a standard quadratic function?
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

10. x=all real numbers is what type of an 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.
identity
f(x)=suare root of x
Y=10

11. $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?
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
[0 -+infinity)
f(x2)-f(x1) / x2-x1
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.

12. What is the slope of a perpendicular line?
negative slope
Mirror image neg quadrant to that of the positive quandrant
negative inverse
(-infinity - +infinity)

13. f(x) = x^2+3x+5 - what type of formula is this?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
function notation
even
x math 3 graph

14. Is the square root function odd - even or neither?
The opposite coordinates
Line ascending to the right gradually
neither
f(x)=IxI

15. What is the domain and range of a constant function?
parraelle line
in a quotient
f(x+c) and f(x-c)
(-infinity - +infinity)

16. What type of line is a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal
2nd key - x^2 - graph
m

17. What is the range for the standard cubic function?
The first set of components of an ordered pair
perpendicular 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
(-infinity - +infinity)

18. What is the domain of the cube root function?
x=a
(-infinity - +infinity)
odd
even

19. What type of slope do vertical lines have?
only one
Approach neg toward x through zero and above positive close to x
undefined
(-infinity - +infinity)

20. What are the four steps for solving a linear equation?
inconsistant
Conditional
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.
f(x)=suare root of x

21. What does the average rate of change formula solve?
C>1 - horizontal shrinking
Y= then enter the number then press graph
The slope of a line containing two points
even

22. What are two examples of composit functions?
f of g and g of f
The second set of components of an ordered pair
The secant line
The minimum or maximum points

23. How do you graph Ax+By+C=0?
As equations
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.
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points

24. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
even
Square Root
horizontal
Yes - all the domains points to one range

25. What does the graph of the cube root function look like on the graph?
up
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x
45 degree angle

26. What are the steps for solving a word problem?
f(x^1)=f(x^2)
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)
f(x+h)-f(x)/h h cannot equal zero

27. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
The minimum or maximum points
x^2
Conditional

28. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
A line passing through two distinct points
f(x) = x
up

29. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
x = the original sale price and the formula is x - .40x =$276
x=a
The second set of components of an ordered pair

30. What is the range of an identity function?
(-infinity - +infinity)
up
[0 -+infinity)
same

31. Of the seven of algebra's common graph's how many are neither?
Piecewise
math 4 x - graph
Square Root
C>1 - horizontal shrinking

32. What is the range of the constant function?
x = the original sale price and the formula is x - .40x =$276
Y=b
The single number y=
inconsitent

33. What is the domain of an identity function?
same
4 -6 -9
(-infinity - +infinity)
Y=x^2 - graph

34. Which direction does f(x+c) move
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
horizontal left
f(x) = x

35. what is the formula for slope?
in a quotient
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
no because you cannot have one domain pointing at two y's or ranges

36. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
2nd key - x^2 - graph
because the demintor of a quotient can never equal zero
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

37. what is the letter used to represent slope?
m
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.
Square Root
(-infinity - +infinity)

38. What is the formula for the cube root function?
A line passing through two distinct points
parraelle line
f(x)=3 square root x
(-infinity - 0]U[0 - +infinity)

39. x=no real numbers is what type of an equation?
parabola
The slope of a line containing two points
The minimum or maximum points
inconsistant

40. What are the calculator instructions for absolute value?
Set the x and y to zero and get the intercepts and then plot the points
Y=x - identity function
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates

41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x)=3 square root x
As equations
1 -2 -3
[0 -+infinity)

42. What shape is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
Equation of a line
parabola
As equations

43. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
up
Piecewise
(-infinity - +infinity)

44. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
parraelle line
20+.05x=5+.10x x=minutes
m
odd

45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
f of g and g of f
function notation
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 first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000

46. 4(x-7)=4x-28 is what type of an equation?
odd
identity
Three odd - cube root - identity - standard cubic
Conditional

47. What is the vertical line test?
f(x) = x
As many as you like
When does a graph not define y as a function of x?
f of g and g of f

48. What points do you use to plot the inverse on a graph?
Absolute Value - Constant and Standard Quadratic
The second set of components of an ordered pair
The minimum or maximum points
The opposite coordinates

49. What type of slope do you have when a line rises from left to right and m>0?
only one
Square Root
postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

50. What is the range for a standard quadratic function?
(-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.
inconsistant
(-infinity - 0]U[0 - +infinity)