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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 are the calculator instructions for the standard cubic function?
only one
f(x)=suare root of x
x math 3 graph
inconsistant

2. What type of line is a constant function?
f(x)=suare root of x
horizontal
parabola - up one and right three
neither

3. What is the domain for an absolute value function?
Y=b
4 -6 -9
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

4. 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?
C>1 - horizontal shrinking
x is the hours to repair the boat. $1603-532=anwser/63 = x
postiive slope
Y=x - identity function

5. What is a relation?
Cannot be drawn in quizlet
Any set of ordered pairs
undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

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

7. Two vertical lines side by side are a symbol for what
Cannot be drawn in quizlet
parraelle line
4 -6 -9
(-infinity - +infinity)

8. Why can h not equal zero in the difference of a quotient function formula?
C>1 - horizontal shrinking
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
A line passing through two distinct points

9. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(-infinity - +infinity)
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
4 -6 -9

10. What are two examples of composit functions?
f of g and g of f
Set the x and y to zero and get the intercepts and then plot the points
horizontal right
2nd catalog (zero key -) abs(x) - graph

11. What are the calculator instructions for a standard quadratic equation?
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
Y=x - identity function
Y=x^2 - graph

12. x=no real numbers is what type of an equation?
inconsistant
odd
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

13. What is the formula for the standard cubic function?
Cannot be drawn in quizlet
f(x)=x^3
When does a graph not define y as a function of x?
(-infinity - +infinity)

14. What is the standard quadratic function?
x^2
(-infinity - +infinity)
parabola
Approach neg toward x through zero and above positive close to x

15. What are the four steps for finding the inverse of a function?
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
down
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

16. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
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
horizontal right
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.

17. What direction does f(x)-c move in standard absolute value formula?
Yes because two x's or domains can point to one y
down
Conditional
The single number y=

18. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
(-infinity - +infinity)
The minimum or maximum points

19. what is a range?
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
Y=x^2 - graph
The second set of components of an ordered pair
Y=x - identity function

20. What is the vertical line formula?
x=a
[0 -+infinity)
Equation of a line
because the demintor of a quotient can never equal zero

21. Is the square root function odd - even or neither?
negative inverse
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.
neither
Y=IxI

22. What points do you use to plot the inverse on a graph?
The secant line
perpendicular line
f(x)=+c and f(x)-c
The opposite coordinates

23. Of the seven of algebra's common graph's how many are neither?
Square Root
x=a
(-infinity - +infinity)
Y=b

24. Is an identity function even - odd or neither?
Yes - all the domains points to one range
odd
Piecewise
Square Root

25. What is the vertical line test?
When does a graph not define y as a function of x?
f(x+h)-f(x)/h h cannot equal zero
in a quotient
Cannot be drawn in quizlet

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
same
The secant line
parabola
f(x)=IxI

27. Draw or discuss an increasing function
undefined
even
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

28. What type of slope do horizontal lines have?
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3
same
C>1 - horizontal shrinking

29. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
parabola - up one and right three
x = the original sale price and the formula is x - .40x =$276
zero slope

30. What is a domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1 -2 -3
The first set of components of an ordered pair
(-infinity - +infinity)

31. What is the formula for an absolute value function?
f(x)=IxI
Any set of ordered pairs
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.
The secant line

32. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Yes because two x's or domains can point to one y
parabola
even

33. y=f(cx) - what does this formula represent?
even
horizontal right
C>1 - horizontal shrinking
because the demintor of a quotient can never equal zero

34. Is a standard quadratic function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
neither

35. x= a real number is what type of equation?
Conditional
(-infinity - +infinity)
The opposite coordinates
Y=b

36. what is the letter used to represent slope?
x=a
(-infinity - +infinity)
inconsistant
m

37. A flat line underlining one vertical line is a symbol for
perpendicular line
up
2nd key - x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x

38. What is the slope intercept formula? Define all the variables.
parraelle line
neither
Equation of a line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. What is the slope of a perpendicular line?
Conditional
negative inverse
Three odd - cube root - identity - standard cubic
f of g and g of f

40. What is a function?
The slope of a line containing two points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y
Y=x - identity function

41. What is the average rate of change formula?
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)
When does a graph not define y as a function of x?
f(x2)-f(x1) / x2-x1

42. What type of function would you use to calculate the most advantageous cell phone plan?
Conditional
Absolute Value - Constant and Standard Quadratic
Piecewise
Yes because two x's or domains can point to one y

43. Standard absolute value - vertical shift formulas for positve and negative
45 degree angle
As many as you like
(-infinity - 0]U[0 - +infinity)
f(x)=+c and f(x)-c

44. What does linear equation mean?
The minimum or maximum points
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x^2 - graph

45. Draw or discuss a decreasing function
function notation
Cannot be drawn in quizlet
f(x)=IxI
Y=10

46. Is a constant function even - odd or neither?
Y=IxI
neither
x^2
even

47. $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?
perpendicular line
f(x)=x^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.
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

48. What type of slope do you have when the line is horizontal and m=0?
45 degree angle
horizontal
zero slope
Line ascending to the right gradually

49. What is slope?
The minimum or maximum points
horizontal
identity
A line passing through two distinct points

50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+c) and f(x-c)
(-infinity - +infinity)
Yes - all the domains points to one range
parraelle line