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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. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

2. Which direction does f(x+c) move
parraelle line
identity
horizontal left
Three odd - cube root - identity - standard cubic

3. Two vertical lines side by side are a symbol for what
Three odd - cube root - identity - standard cubic
parraelle line
Y= then enter the number then press graph
Y=x^2 - graph

4. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
undefined
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

5. Which direction does f(x-c) move
math 4 x - graph
horizontal right
[0 -+infinity)
x=a

6. x=all real numbers is what type of an equation?
identity
When does a graph not define y as a function of x?
Square Root
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.

7. When is the only time (-infinity - +infinity) is not the domain?
f(x)=x^3
(-infinity - +infinity)
in a quotient
Set the x and y to zero and get the intercepts and then plot the points

8. y=f(cx) - what does this formula represent?
Cannot be drawn in quizlet
negative slope
Y= then enter the number then press graph
C>1 - horizontal shrinking

9. What is the slope intercept formula? Define all the variables.
45 degree angle
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. Standard absolute value - vertical shift formulas for positve and negative
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

11. How are functions normally written?
As equations
A V
45 degree angle
f(x)=x^3

12. 4(x-7)=4x+28 is what type of an equation?
function notation
inconsitent
Y=x^2 - graph
even

13. What is the formula for an identity function?
f(x) = x
up
parraelle line
Conditional

14. how many domains can you have pointing to one range?
inconsistant
Cannot be drawn in quizlet
The single number y=
As many as you like

15. What does the square root function look like on a graph?
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
Conditional
Line ascending to the right gradually

16. What is the vertical line test?
neither
2nd key - x^2 - graph
When does a graph not define y as a function of x?
Y=x^2 - graph

17. How do you calculate a constant function in your calculator?
undefined
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to 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.

18. 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
parabola - up one and right three
undefined
f(x)=3 square root x

19. x=no real numbers is what type of an equation?
neither
Cannot be drawn in quizlet
inconsistant
(-infinity - +infinity)

20. What is the range of a square root function?
[0 -+infinity)
up
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

21. $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?
f(x)=suare root of x
f(x)=IxI
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
Y=10

22. What is the formula for the cube root function?
Absolute Value - Constant and Standard Quadratic
x math 3 graph
f(x)=3 square root x
negative inverse

23. Is the standard cubic function odd - even or neither?
A line passing through two distinct points
The single number y=
horizontal
odd

24. what is a range?
f(x)=x^3
The opposite coordinates
The second set of components of an ordered pair
(-infinity - +infinity)

25. What type of slope do you have when the line is horizontal and m=0?
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
zero slope

26. What is the range for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
(-infinity - 0]U[0 - +infinity)
odd

27. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
[0 -+infinity)

28. In an identity function if f(10)=x than what is y?
0<c<1 - horizontal stretching
odd
x^2
Y=10

29. What is the range for a standard quadratic function?
(-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.
Y=10
x = the original sale price and the formula is x - .40x =$276

30. What does linear equation mean?
undefined
Equation of a line
Y=10
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

31. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
As equations
The opposite coordinates
even

32. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
f(x)=suare root of x
1 -2 -3
C>1 - horizontal shrinking

33. What is a constant function?
f(x^1)=f(x^2)
45 degree angle
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

34. What is the range of the cube root function?
The first set of components of an ordered pair
postiive slope
Square Root
(-infinity - +infinity)

35. 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?
20+.05x=5+.10x x=minutes
Conditional
The single number y=
x is the hours to repair the boat. $1603-532=anwser/63 = x

36. Is a constant function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
same
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

37. Draw or discuss an increasing function
Y
(-infinity - +infinity)
45 degree angle
Cannot be drawn in quizlet

38. A flat line underlining one vertical line is a symbol for
function notation
perpendicular line
zero slope
Y=b

39. What is the range for the standard cubic function?
x math 3 graph
(-infinity - +infinity)
A V
even

40. What are the algebra of functions?
Y=10
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?

41. What is the range of the constant function?
The secant line
Three odd - cube root - identity - standard cubic
The single number y=
f(x)=3 square root x

42. What are the steps for solving a word problem?
postiive slope
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
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

43. What type of line is an identity function?
0<c<1 - horizontal stretching
parabola
45 degree angle
Approach neg toward x through zero and above positive close to x

44. What can we substitute for f(x)?
Conditional
Y
even
(-infinity - +infinity)

45. What does the absolute value function look like?
Approach neg toward x through zero and above positive close to x
45 degree angle
(-infinity - +infinity)
A V

46. What are the calculator instructions for absolute value?
horizontal right
2nd catalog (zero key -) abs(x) - graph
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
Piecewise

47. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
because the demintor of a quotient can never equal zero
even
1 -2 -3
The opposite coordinates

48. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y= then enter the number then press graph
Y=x - identity function
horizontal

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
f(x)=IxI
parabola - up one and right three
4 -6 -9

50. What type of line is a constant function?
Y=x - identity function
Mirror image neg quadrant to that of the positive quandrant
horizontal
parraelle line