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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. x= a real number is what type of equation?
perpendicular line
(-infinity - +infinity)
f(x)=IxI
Conditional

2. Of the seven of algebra's common graph's how many are even?
f(x)=suare root of x
(-infinity - +infinity)
x^2
Absolute Value - Constant and Standard Quadratic

3. What are the steps for solving a word problem?
Y=IxI
f(x)=suare root of x
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
Y=10

4. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
(-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.
Set the x and y to zero and get the intercepts and then plot the points

5. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x^2
f(x)=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

6. What can we substitute for f(x)?
f(x2)-f(x1) / x2-x1
Y=x - identity function
Y
horizontal

7. What is the range of an identity function?
(-infinity - +infinity)
neither
x2-x1 because the demonaitor of a quotient can never equal zero
The first set of components of an ordered pair

8. What is the domain of the cube root function?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line
m

9. 4x+5x=8x is what type of an equation?
inconsistant
1 -2 -3
Conditional
f(x)=3 square root x

10. What is the domain of a square root function?
[0 -+infinity)
f(x+c) and f(x-c)
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x

11. What is another way of writing the absolute value function?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Y=IxI
(-infinity - 0]U[0 - +infinity)

12. 4(x-7)=4x+28 is what type of an equation?
f(x)=+c and f(x)-c
45 degree angle
(-infinity - +infinity)
inconsitent

13. What is the domain for an absolute value function?
(-infinity - +infinity)
even
down
m

14. Draw or discuss a decreasing function
Cannot be drawn in quizlet
down
[0 -+infinity)
Y=IxI

15. Why can h not equal zero in the difference of a quotient function formula?
Y=b
up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
because the demintor of a quotient can never equal zero

16. What is an identity function?
45 degree angle
horizontal right
Line ascending to the right gradually
because the demintor of a quotient can never equal zero

17. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
down
f(x^1)=f(x^2)
function notation

18. What is the range for an absolute value function?
The second set of components of an ordered pair
Y=10
Yes because two x's or domains can point to one y
(-infinity - 0]U[0 - +infinity)

19. Which direction does f(x+c) move
horizontal left
neither
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph

20. how many ranges can you have for each domain?
x is the hours to repair the boat. $1603-532=anwser/63 = x
only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points

21. What does the graph of the cube root function look like on the graph?
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

22. y=f(cx) what does this formula represent?
Y= then enter the number then press graph
0<c<1 - horizontal stretching
m
f(x)=3 square root x

23. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
f(x)=suare root of x
Y=x - identity function
neither

24. Two vertical lines side by side are a symbol for what
f(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
parraelle line
x math 3 graph

25. What is the range of a square root function?
4 -6 -9
x2-x1 because the demonaitor of a quotient can never equal zero
Conditional
[0 -+infinity)

26. What is the vertical line formula?
x=a
Y=x^2 - graph
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

27. what is a range?
2nd catalog (zero key -) abs(x) - graph
The second set of components of an ordered pair
horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1

28. Of the seven of algebra's common graph's how many are neither?
Mirror image neg quadrant to that of the positive quandrant
f(x+h)-f(x)/h h cannot equal zero
Square Root
f(x)=suare root of x

29. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
undefined slope
C>1 - horizontal shrinking
f(x)=IxI

30. Standard absolute value - vertical shift formulas for positve and negative
f(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph
f(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What is the range for the standard cubic function?
(-infinity - +infinity)
even
x = the original sale price and the formula is x - .40x =$276
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

32. What are the calculator instructions for the standard cubic function?
x math 3 graph
2nd key - x^2 - graph
Y=b
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. How do you graph Ax+By+C=0?
identity
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Y=10

34. What is the formula for to calculate the difference of a quotient function?
horizontal
f(x+h)-f(x)/h h cannot equal zero
The opposite coordinates
(-infinity - +infinity)

35. What is the formula in both horizontal stretching and horizontal shrinking?
zero slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1

36. What type of line is a constant function?
2nd key - x^2 - graph
Yes because two x's or domains can point to one y
horizontal
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

37. How are functions normally written?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
As equations

38. What are the calculator instructions for the cube root function?
f(x)=IxI
math 4 x - graph
As equations
odd

39. What is the domain for a standard quadratic function?
(-infinity - +infinity)
A line passing through two distinct points
[0 -+infinity)
Y

40. What type of function would you use to calculate the most advantageous cell phone plan?
Y=b
Piecewise
neither
Conditional

41. What are the four steps for solving a linear equation?
Set the x and y to zero and get the intercepts and then plot the points
Y
2nd key - x^2 - graph
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.

42. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range
f(x)=+c and f(x)-c
odd

43. What does the square root function look like on a graph?
Line ascending to the right gradually
down
Piecewise
Y

44. y=f(cx) - what does this formula represent?
Y=IxI
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking

45. What shape is the standard quadratic function?
f of g and g of f
parabola
(-infinity - +infinity)
Y

46. Draw or discuss an increasing function
Cannot be drawn in quizlet
(-infinity - +infinity)
inconsistant
f(x)=3 square root x

47. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
Square Root
Yes because two x's or domains can point to one y
The slope of a line containing two points
x is the hours to repair the boat. $1603-532=anwser/63 = x

48. x=no real numbers is what type of an equation?
horizontal right
inconsistant
(-infinity - +infinity)
down

49. Is an absolute value function even - odd or neither?
horizontal right
zero slope
The second set of components of an ordered pair
even

50. What are two examples of composit functions?
[0 -+infinity)
Y=IxI
f of g and g of f
(-infinity - +infinity)