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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 the vertical line test?
Y
When does a graph not define y as a function of x?
odd
Cannot be drawn in quizlet

2. When is the only time (-infinity - +infinity) is not the domain?
Y=b
Line ascending to the right gradually
in a quotient
zero slope

3. What are the calculator instructions for the standard cubic function?
because the demintor of a quotient can never equal zero
Conditional
x math 3 graph
The minimum or maximum points

4. What is the slope of a perpendicular line?
negative inverse
45 degree angle
Y
Three odd - cube root - identity - standard cubic

5. What are the four steps for finding the inverse of a function?
Conditional
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal

6. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
horizontal
undefined
x = the original sale price and the formula is x - .40x =$276
The first set of components of an ordered pair

7. 4(x-7)=4x-28 is what type of an equation?
The single number y=
identity
Y=x - identity function
45 degree angle

8. What is the standard quadratic function?
x^2
4 -6 -9
same
(-infinity - +infinity)

9. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
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
45 degree angle
A line passing through two distinct points

10. what is the letter used to represent slope?
(f+g) - (f-g) - (fg) - (f/g) all of x
Square Root
same
m

11. Is an identity function even - odd or neither?
odd
inconsistant
Change in y / change in x = rise / run = y2-y1 / x2-x1
undefined slope

12. What is the average rate of change formula?
The first set of components of an ordered pair
A line passing through two distinct points
f(x2)-f(x1) / x2-x1
2nd key - x^2 - graph

13. What is the domain for a standard quadratic function?
negative inverse
(-infinity - +infinity)
even
down

14. What is the range for a standard quadratic function?
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 - 0]U[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V

15. Of the seven of algebra's common graph's how many are odd?
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic
Equation of a line
even

16. What is the range of the constant function?
Y=b
The single number y=
f(x^1)=f(x^2)
Yes because two x's or domains can point to one y

17. What is the domain for an absolute value function?
parraelle line
f(x) = x
odd
(-infinity - +infinity)

18. x=all real numbers 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
identity
negative inverse
f(x+h)-f(x)/h h cannot equal zero

19. How do you graph Ax+By+C=0?
m
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

20. Of the seven of algebra's common graph's how many are even?
The single number y=
The secant line
horizontal
Absolute Value - Constant and Standard Quadratic

21. Which direction does f(x+c) move
horizontal left
Conditional
As many as you like
f(x^1)=f(x^2)

22. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
x math 3 graph
2nd key - x^2 - graph
f(x)=suare root of x

23. What is a constant function?
f(x^1)=f(x^2)
f(x)=+c and f(x)-c
Conditional
negative inverse

24. What does the graph of the cube root function look like on the graph?
parabola
Approach neg toward x through zero and above positive close to x
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)

25. How are functions normally written?
As equations
parraelle line
horizontal
Approach neg toward x through zero and above positive close to x

26. What is the formula for the cube root function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd
same
f(x)=3 square root x

27. What type of slope do you have when a line falls left to right and m<0?
negative slope
Y
undefined slope
postiive slope

28. What type of slope do you have when m=? and the line is vertical?
horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
undefined slope
Square Root

29. Is a standard quadratic function even - odd or neither?
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
The single number y=
Yes because two x's or domains can point to one y
even

30. What type of slope do you have when a line rises from left to right and m>0?
f(x^1)=f(x^2)
only one
postiive slope
Line ascending to the right gradually

31. Draw or discuss a constant 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.
Cannot be drawn in quizlet
f(x)=3 square root x
The slope of a line containing two points

32. What is the range of an identity function?
(-infinity - +infinity)
f(x) = x
C>1 - horizontal shrinking
f(x)=+c and f(x)-c

33. $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?
math 4 x - graph
Approach neg toward x through zero and above positive close to x
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
undefined slope

34. What is the formula for an identity function?
(-infinity - 0]U[0 - +infinity)
f(x) = x
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.
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

35. Draw or discuss a decreasing function
Square Root
Cannot be drawn in quizlet
horizontal
Y

36. What are the calculator instructions for absolute value?
only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

37. What is the formula in both horizontal stretching and horizontal shrinking?
f(x) = x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f of g and g of f
2nd key - x^2 - graph

38. Is the standard cubic function odd - even or neither?
The minimum or maximum points
horizontal
Cannot be drawn in quizlet
odd

39. what can never equal zero in the slope formula and why?
even
x2-x1 because the demonaitor of a quotient can never equal zero
perpendicular line
negative slope

40. x=no real numbers is what type of an equation?
Cannot be drawn in quizlet
(-infinity - +infinity)
[0 -+infinity)
inconsistant

41. What type of function would you use to calculate the most advantageous cell phone plan?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points
Piecewise
Conditional

42. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
inconsistant
Mirror image neg quadrant to that of the positive quandrant
The slope of a line containing two points

43. What is the domain of the cube root function?
(-infinity - +infinity)
f(x^1)=f(x^2)
A V
parraelle line

44. What is the vertical line formula?
identity
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
Cannot be drawn in quizlet
x=a

45. What type of line is an identity function?
45 degree angle
(-infinity - +infinity)
f(x)=suare root of x
m

46. What is the domain of an identity function?
(-infinity - +infinity)
horizontal
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x

47. What are two examples of composit functions?
f of g and g of f
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1 -2 -3
in a quotient

48. What is the horizontal line formula?
Y=b
Cannot be drawn in quizlet
[0 -+infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

49. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
only one
up

50. 4(x-7)=4x+28 is what type of an equation?
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs
inconsitent
Square Root