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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 is another way of writing the absolute value function?
2nd key - x^2 - graph
same
up
Y=IxI

2. What is the vertex?
horizontal left
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points
identity

3. What are the four steps for finding the inverse of a function?
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
horizontal right
f(x^1)=f(x^2)

4. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
f(x+h)-f(x)/h h cannot equal zero

5. x=no real numbers is what type of an equation?
Y=10
As many as you like
parabola - up one and right three
inconsistant

6. What are the four steps for solving a linear equation?
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +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.
Conditional

7. How would this formula move f(x)=(x+1)^2-3
parabola
Mirror image neg quadrant to that of the positive quandrant
The secant line
parabola - up one and right three

8. What is the horizontal line formula?
Y=b
perpendicular line
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x

9. What type of slope do you have when m=? and the line is vertical?
undefined slope
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
Three odd - cube root - identity - standard cubic
x = the original sale price and the formula is x - .40x =$276

10. x=all real numbers is what type of an equation?
only one
identity
Yes because two x's or domains can point to one y
postiive slope

11. When is the only time (-infinity - +infinity) is not the domain?
inconsitent
parabola
(-infinity - +infinity)
in a quotient

12. What shape is the standard quadratic function?
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.
x2-x1 because the demonaitor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
parabola

13. What is the domain for the standard cubic function?
function notation
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
f of g and g of f

14. What are the calculator instructions for the standard cubic function?
because the demintor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1
A V
x math 3 graph

15. How are functions normally written?
only one
Square Root
As equations
neither

16. What is the range of an identity function?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Y
The secant line

17. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Equation of a line
f(x+c) and f(x-c)
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

18. A flat line underlining one vertical line is a symbol for
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
Set the x and y to zero and get the intercepts and then plot the points
perpendicular line
Mirror image neg quadrant to that of the positive quandrant

19. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
As equations
The slope of a line containing two points
4 -6 -9

20. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
(-infinity - +infinity)
postiive slope
x is the hours to repair the boat. $1603-532=anwser/63 = x

21. What is the range for the standard cubic function?
down
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

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

23. What type of slope do you have when the line is horizontal and m=0?
Conditional
Cannot be drawn in quizlet
zero slope
2nd catalog (zero key -) abs(x) - graph

24. What is a 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) = x
f(x)=x^3
(-infinity - +infinity)

25. What is the formula for the square root function?
Absolute Value - Constant and Standard Quadratic
f(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=suare root of x

26. Of the seven of algebra's common graph's how many are odd?
45 degree angle
2nd key - x^2 - graph
function notation
Three odd - cube root - identity - standard cubic

27. What type of line is a constant function?
horizontal
45 degree angle
Cannot be drawn in quizlet
postiive slope

28. What are the calculator instructions for absolute value?
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.
even
2nd catalog (zero key -) abs(x) - graph
math 4 x - graph

29. What type of function would you use to calculate the most advantageous cell phone plan?
identity
up
Piecewise
Y=x - identity function

30. How do you graph Ax+By+C=0?
The first set of components of an ordered pair
(-infinity - +infinity)
Y=x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points

31. What are two examples of composit functions?
4 -6 -9
(-infinity - +infinity)
inconsitent
f of g and g of f

32. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
The second set of components of an ordered pair
0<c<1 - horizontal stretching
Cannot be drawn in quizlet

33. What are the calculator instructions for a square root function?
undefined
Piecewise
Y= then enter the number then press graph
2nd key - x^2 - graph

34. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
horizontal left
Y=b
Y=x - identity function
20+.05x=5+.10x x=minutes

35. What type of slope do horizontal lines have?
Y= then enter the number then press graph
Line ascending to the right gradually
Y=x - identity function
same

36. What is the formula for the cube root function?
f(x) = x
The first set of components of an ordered pair
f(x)=3 square root x
Absolute Value - Constant and Standard Quadratic

37. What is the domain of an identity function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
horizontal
A V

38. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
zero slope
x = the original sale price and the formula is x - .40x =$276
inconsistant
undefined

39. What is the range of the cube root function?
Three odd - cube root - identity - standard cubic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The minimum or maximum points

40. What is an identity function?
in a quotient
identity
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

41. Draw or discuss a decreasing function
horizontal
math 4 x - graph
Cannot be drawn in quizlet
Yes - all the domains points to one range

42. What can we substitute for f(x)?
As equations
(-infinity - +infinity)
f(x)=x^3
Y

43. What are the calculator instructions for a standard quadratic equation?
Any set of ordered pairs
Y=x^2 - graph
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
f(x)=x^3

44. What are the steps for solving a word problem?
even
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
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
undefined slope

45. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=x - identity function
45 degree angle
even

46. Two vertical lines side by side are a symbol for what
Mirror image neg quadrant to that of the positive quandrant
parraelle line
As equations
The second set of components of an ordered pair

47. Which direction does f(x)=+c move in standard absolute value formula?
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
up

48. Is an absolute value function even - odd or neither?
Line ascending to the right gradually
even
parraelle line
(-infinity - +infinity)

49. What is the slope intercept formula? Define all the variables.
zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
(-infinity - +infinity)

50. What is a domain?
The first set of components of an ordered pair
Y=x^2 - graph
x=a
odd