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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 slope?
negative inverse
odd
because the demintor of a quotient can never equal zero
A line passing through two distinct points

2. Of the seven of algebra's common graph's how many are neither?
(-infinity - 0]U[0 - +infinity)
Square Root
When does a graph not define y as a function of x?
(-infinity - +infinity)

3. What is the range for the standard cubic function?
Approach neg toward x through zero and above positive close to x
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

4. What is the slope intercept formula? Define all the variables.
in a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined slope

5. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
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

6. What type of slope do you have when m=? and the line is vertical?
45 degree angle
undefined slope
f(x)=3 square root x
negative slope

7. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
Equation of a line
Approach neg toward x through zero and above positive close to x

8. What type of slope do you have when a line falls left to right and m<0?
negative slope
f(x)=3 square root x
The first set of components of an ordered pair
f(x+c) and f(x-c)

9. What is another way of writing the absolute value function?
x math 3 graph
[0 -+infinity)
Y=IxI
(-infinity - +infinity)

10. Two vertical lines side by side are a symbol for what
perpendicular line
(-infinity - +infinity)
parraelle line
f(x)=x^3

11. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Equation of a line
When does a graph not define y as a function of x?
even

12. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
parabola
(-infinity - +infinity)
2nd key - x^2 - graph

13. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
down
perpendicular line
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes

14. Which direction does f(x)=+c move in standard absolute value formula?
because the demintor of a quotient can never equal zero
undefined slope
up
Square Root

15. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Equation of a line
(-infinity - +infinity)
4 -6 -9

16. how many ranges can you have for each domain?
only one
odd
Cannot be drawn in quizlet
Piecewise

17. What is the formula for the cube root function?
f(x)=3 square root x
undefined slope
As equations
As many as you like

18. What is the domain of the cube root function?
horizontal left
x=a
(-infinity - +infinity)
The single number y=

19. What type of slope do vertical lines have?
Three odd - cube root - identity - standard cubic
The single number y=
undefined
Any set of ordered pairs

20. how many domains can you have pointing to one range?
45 degree angle
As many as you like
(-infinity - +infinity)
The second set of components of an ordered pair

21. y=f(cx) - what does this formula represent?
undefined slope
C>1 - horizontal shrinking
down
inconsitent

22. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
inconsistant
zero slope
f(x)=+c and f(x)-c

23. Is the square root function odd - even or neither?
neither
negative slope
horizontal
because the demintor of a quotient can never equal zero

24. What type of slope do horizontal lines have?
f(x)=suare root of x
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
same

25. What is a constant function?
Equation of a line
f(x^1)=f(x^2)
As equations
Cannot be drawn in quizlet

26. What are the calculator instructions for the cube root function?
The single number y=
Y= then enter the number then press graph
postiive slope
math 4 x - graph

27. What are the algebra of functions?
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
Yes because two x's or domains can point to one y

28. What are the four steps for solving a linear equation?
Y
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
The first set of components of an ordered pair

29. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
2nd key - x^2 - graph
f(x+h)-f(x)/h h cannot equal zero
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
As many as you like

30. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
C>1 - horizontal shrinking
zero slope

31. What equation does every line have? Discuss the variables.
Y= then enter the number then press graph
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.
Approach neg toward x through zero and above positive close to x
As equations

32. What type of function would you use to calculate the most advantageous cell phone plan?
The secant line
Piecewise
Y=x^2 - graph
negative inverse

33. What are two examples of composit functions?
f of g and g of f
parabola - up one and right three
The second set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276

34. Is an identity function even - odd or neither?
horizontal
odd
same
Yes - all the domains points to one range

35. What is the vertex?
The minimum or maximum points
C>1 - horizontal shrinking
down
45 degree angle

36. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
undefined
odd
x = the original sale price and the formula is x - .40x =$276

37. What type of line is a constant function?
The secant line
m
f(x)=3 square root x
horizontal

38. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Equation of a line
inconsitent
Yes - all the domains points to one range

39. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet
45 degree angle
4 -6 -9

40. x= a real number is what type of equation?
horizontal
f(x)=+c and f(x)-c
Conditional
Cannot be drawn in quizlet

41. What is the range of an identity function?
negative inverse
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
horizontal

42. What is the standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
horizontal right
x^2

43. Is a standard quadratic function even - odd or neither?
even
Y=IxI
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. What is a relation?
horizontal
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
Any set of ordered pairs
(-infinity - +infinity)

45. What type of line is a constant function?
f of g and g of f
Piecewise
(-infinity - 0]U[0 - +infinity)
horizontal

46. What does the absolute value function look like?
A V
Y=10
even
The slope of a line containing two points

47. what is the formula for slope?
f(x)=suare root of x
Yes - all the domains points to one range
neither
Change in y / change in x = rise / run = y2-y1 / x2-x1

48. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
even
neither
parabola - up one and right three

49. What is the formula for to calculate the difference of a quotient function?
perpendicular line
f(x)=+c and f(x)-c
postiive slope
f(x+h)-f(x)/h h cannot equal zero

50. Which direction does f(x+c) move
(-infinity - +infinity)
horizontal left
When does a graph not define y as a function of x?
As equations