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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. 4(x-7)=4x-28 is what type of an equation?
identity
A line passing through two distinct points
f(x)=3 square root x
As many as you like

2. What is the domain for the standard cubic function?
postiive slope
f(x)=+c and f(x)-c
function notation
(-infinity - +infinity)

3. 4(x-7)=4x+28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
inconsitent
Set the x and y to zero and get the intercepts and then plot the points

4. What is the domain of a square root function?
The second set of components of an ordered pair
2nd key - x^2 - graph
[0 -+infinity)
x math 3 graph

5. What is the range for a standard quadratic function?
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
same
Approach neg toward x through zero and above positive close to x

6. What are the four steps for solving a linear equation?
negative slope
x = the original sale price and the formula is x - .40x =$276
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.
odd

7. Is a constant function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
even
f(x+h)-f(x)/h h cannot equal zero
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

8. What is the formula for the cube root function?
f(x)=3 square root x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal right
Square Root

9. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
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

10. What is slope?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
zero slope

11. What is the domain and range of a constant function?
Y=10
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
[0 -+infinity)

12. What are the algebra of functions?
[0 -+infinity)
f(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What are two examples of composit functions?
Yes because two x's or domains can point to one y
same
f of g and g of f
(-infinity - +infinity)

14. y=f(cx) what does this formula represent?
1 -2 -3
horizontal
(-infinity - +infinity)
0<c<1 - horizontal stretching

15. 4x+5x=8x is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
Y=10
parabola - up one and right three
Conditional

16. What does the square root function look like on a graph?
Line ascending to the right gradually
A V
undefined
Set the x and y to zero and get the intercepts and then plot the points

17. What does the average rate of change formula solve?
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
f of g and g of f
The slope of a line containing two points

18. How would this formula move f(x)=(x+1)^2-3
The opposite coordinates
f(x)=suare root of x
Y=10
parabola - up one and right three

19. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
horizontal left
20+.05x=5+.10x x=minutes

20. x= a real number is what type of equation?
2nd key - x^2 - graph
Conditional
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parraelle line

21. What are the calculator instructions for the standard cubic function?
Y= then enter the number then press graph
[0 -+infinity)
parabola
x math 3 graph

22. What is the domain for a standard quadratic function?
(-infinity - +infinity)
The second set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph

23. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
negative inverse
inconsistant
2nd catalog (zero key -) abs(x) - graph

24. What is the range of the cube root function?
The second set of components of an ordered pair
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
even
(-infinity - +infinity)

25. What is the domain of the cube root function?
undefined
(-infinity - +infinity)
4 -6 -9
Y=IxI

26. What is a constant function?
f(x^1)=f(x^2)
f(x+c) and f(x-c)
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

27. what is a range?
parabola
The second set of components of an ordered pair
x=a
As many as you like

28. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
A V
up
negative slope
x = the original sale price and the formula is x - .40x =$276

29. What are the four steps for finding the inverse of a function?
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parraelle line
x^2

30. y=f(cx) - what does this formula represent?
horizontal
45 degree angle
C>1 - horizontal shrinking
f(x)=3 square root x

31. What is the formula for the square root function?
f(x)=suare root of x
f(x)=3 square root x
even
because the demintor of a quotient can never equal zero

32. Standard absolute value - vertical shift formulas for positve and negative
in a quotient
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=+c and f(x)-c
2nd key - x^2 - graph

33. Two vertical lines side by side are a symbol for what
negative inverse
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=3 square root x
parraelle line

34. Which direction does f(x)=+c move in standard absolute value formula?
x2-x1 because the demonaitor of a quotient can never equal zero
up
20+.05x=5+.10x x=minutes
Square Root

35. What is the vertical line formula?
A V
x = the original sale price and the formula is x - .40x =$276
When does a graph not define y as a function of x?
x=a

36. A flat line underlining one vertical line is a symbol for
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.
perpendicular line
f(x)=x^3
because the demintor of a quotient can never equal zero

37. What is the formula for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=x^3
f(x+h)-f(x)/h h cannot equal zero
inconsitent

38. What can we substitute for f(x)?
Y
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
horizontal

39. What type of line is an identity function?
neither
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
up

40. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Equation of a line
C>1 - horizontal shrinking
Yes - all the domains points to one range
perpendicular line

41. What is the vertex?
(-infinity - +infinity)
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
The minimum or maximum points

42. What are the calculator instructions for the cube root function?
As many as you like
math 4 x - graph
The opposite coordinates
Yes because two x's or domains can point to one y

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Conditional
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic

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

45. What is an identity function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
postiive slope

46. what is the formula for slope?
f(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
Square Root
Line ascending to the right gradually

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?
x=a
x is the hours to repair the boat. $1603-532=anwser/63 = x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching

48. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
inconsistant
45 degree angle
[0 -+infinity)

49. what is the letter used to represent slope?
odd
Y
m
math 4 x - graph

50. What does linear equation mean?
x math 3 graph
Line ascending to the right gradually
even
Equation of a line