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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 type of slope do horizontal lines have?
Conditional
same
Yes because two x's or domains can point to one y
x=a

2. What does the absolute value function look like?
function notation
Square Root
20+.05x=5+.10x x=minutes
A V

3. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
identity
x = the original sale price and the formula is x - .40x =$276
horizontal right
f(x)=suare root of x

4. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
inconsitent
The slope of a line containing two points
Conditional

5. What type of line is an identity function?
Three odd - cube root - identity - standard cubic
45 degree angle
4 -6 -9
When does a graph not define y as a function of x?

6. Is an identity function even - odd or neither?
odd
45 degree angle
down
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

7. What is a function?
negative slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
The first set of components of an ordered pair

8. What is the formula for the cube root function?
f(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant
postiive slope
The first set of components of an ordered pair

9. What is the range of the constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The single number y=
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
parraelle line

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

11. What is the range of a square root function?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
neither
[0 -+infinity)

12. What is the formula for to calculate the difference of a quotient function?
x = the original sale price and the formula is x - .40x =$276
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
A V

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x)=3 square root x
odd
Y=10
1 -2 -3

14. what is the formula for slope?
postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
zero slope
(-infinity - +infinity)

15. What type of function would you use to calculate the most advantageous cell phone plan?
zero slope
Piecewise
postiive slope
identity

16. What are the calculator instructions for the standard cubic function?
x math 3 graph
inconsitent
The secant line
f(x)=+c and f(x)-c

17. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
postiive slope
f(x) = x
f(x)=3 square root x
20+.05x=5+.10x x=minutes

18. Which direction does f(x-c) move
odd
parabola - up one and right three
The single number y=
horizontal right

19. What is the domain of the cube root function?
Y=IxI
The opposite coordinates
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

20. What direction does f(x)-c move in standard absolute value formula?
negative inverse
same
down
zero slope

21. What is a relation?
inconsitent
same
As equations
Any set of ordered pairs

22. y=f(cx) what does this formula represent?
even
even
0<c<1 - horizontal stretching
Cannot be drawn in quizlet

23. What are the calculator instructions for the cube root function?
As equations
math 4 x - 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
parabola

24. Of the seven of algebra's common graph's how many are neither?
2nd key - x^2 - graph
even
Square Root
identity

25. x= a real number is what type of equation?
Conditional
(-infinity - +infinity)
45 degree angle
Equation of a line

26. What are the steps for solving a word problem?
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+c) and f(x-c)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Set the x and y to zero and get the intercepts and then plot the points

27. What is a constant function?
(-infinity - +infinity)
(-infinity - +infinity)
f(x^1)=f(x^2)
[0 -+infinity)

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

29. What is the domain of an identity function?
horizontal
(-infinity - +infinity)
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic

30. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
f(x)=IxI
Y=x - identity function
because the demintor of a quotient can never equal zero

31. Of the seven of algebra's common graph's how many are odd?
Y=x^2 - graph
Any set of ordered pairs
parraelle line
Three odd - cube root - identity - standard cubic

32. x=all real numbers is what type of an equation?
zero slope
f(x)=suare root of x
identity
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

33. What are the four steps for solving a linear equation?
in a quotient
x math 3 graph
1 -2 -3
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.

34. What does the graph of the cube root function look like on the graph?
f(x2)-f(x1) / x2-x1
parabola
As equations
Approach neg toward x through zero and above positive close to x

35. 4(x-7)=4x-28 is what type of an equation?
45 degree angle
x^2
identity
The minimum or maximum points

36. What is the average rate of change formula?
Cannot be drawn in quizlet
Yes - all the domains points to one range
The slope of a line containing two points
f(x2)-f(x1) / x2-x1

37. How do you calculate a constant function in your calculator?
f(x) = x
in a quotient
Y= then enter the number then press graph
Y=x^2 - graph

38. A flat line underlining one vertical line is a symbol for
perpendicular line
x=a
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)

39. Standard absolute value - vertical shift formulas for positve and negative
As many as you like
f(x)=+c and f(x)-c
perpendicular line
parraelle line

40. What is the horizontal line formula?
Y=b
(-infinity - +infinity)
f(x+c) and f(x-c)
45 degree angle

41. Draw or discuss a constant function
2nd catalog (zero key -) abs(x) - graph
Y=10
f(x+c) and f(x-c)
Cannot be drawn in quizlet

42. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Absolute Value - Constant and Standard Quadratic

43. What is a domain?
postiive slope
The first set of components of an ordered pair
As many as you like
undefined

44. What is the formula for an absolute value function?
The single number y=
Y=x - identity function
The opposite coordinates
f(x)=IxI

45. What type of slope do you have when the line is horizontal and m=0?
As many as you like
zero slope
[0 -+infinity)
horizontal

46. How would this formula move f(x)=(x+1)^2-3
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
parabola - up one and right three
odd

47. Two vertical lines side by side are a symbol for what
only one
Yes - all the domains points to one range
parraelle line
The first set of components of an ordered pair

48. What is another way of writing the absolute value function?
[0 -+infinity)
20+.05x=5+.10x x=minutes
[0 -+infinity)
Y=IxI

49. Standard absolute value - horizontal shift formulas for left and right
perpendicular line
f(x+c) and f(x-c)
identity
only one

50. What shape is the standard quadratic function?
f(x)=IxI
f(x+h)-f(x)/h h cannot equal zero
parabola
even