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

2. What are the steps for solving a word problem?
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
Cannot be drawn in quizlet
negative slope
x^2

3. How would this formula move f(x)=(x+1)^2-3
odd
parabola - up one and right three
Any set of ordered pairs
math 4 x - graph

4. What direction does f(x)-c move in standard absolute value formula?
down
The first set of components of an ordered pair
negative inverse
f(x)=x^3

5. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
neither
x2-x1 because the demonaitor of a quotient can never equal zero

6. What is the domain of the cube root function?
because the demintor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Y= then enter the number then press graph

7. What is the vertical line test?
When does a graph not define y as a function of x?
(-infinity - 0]U[0 - +infinity)
function notation
Y=x^2 - graph

8. What is a function?
A line passing through two distinct points
identity
perpendicular line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

9. Draw or discuss an increasing function
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
45 degree angle
negative slope

10. What type of slope do you have when the line is horizontal and m=0?
Mirror image neg quadrant to that of the positive quandrant
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
zero slope

11. What are two examples of composit functions?
parabola
f of g and g of f
A line passing through two distinct points
(-infinity - +infinity)

12. What is the vertical line formula?
[0 -+infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a
Yes because two x's or domains can point to one y

13. What does linear equation mean?
Equation of a line
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal

14. How do you calculate a constant function in your calculator?
parraelle line
(-infinity - +infinity)
Y= then enter the number then press graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
1 -2 -3
in a quotient
(-infinity - +infinity)
Yes - all the domains points to one range

16. y=f(cx) - what does this formula represent?
neither
(-infinity - +infinity)
C>1 - horizontal shrinking
undefined

17. What is another way of writing the absolute value function?
Cannot be drawn in quizlet
horizontal
Y=IxI
2nd key - x^2 - graph

18. What can we substitute for f(x)?
even
Y= then enter the number then press graph
20+.05x=5+.10x x=minutes
Y

19. What equation does every line have? Discuss the variables.
The first set of components of an ordered pair
Cannot be drawn in quizlet
(-infinity - +infinity)
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.

20. What points do you use to plot the inverse on a graph?
Mirror image neg quadrant to that of the positive quandrant
parabola - up one and right three
horizontal left
The opposite coordinates

21. What is the standard quadratic function?
f(x) = x
Mirror image neg quadrant to that of the positive quandrant
x^2
no because you cannot have one domain pointing at two y's or ranges

22. What is the formula for the cube root function?
parraelle line
in a quotient
inconsistant
f(x)=3 square root x

23. 4(x-7)=4x+28 is what type of an equation?
Y=x^2 - graph
same
f(x)=3 square root x
inconsitent

24. 4(x-7)=4x-28 is what type of an equation?
identity
undefined
negative slope
(-infinity - +infinity)

25. What is the formula for the square root function?
45 degree angle
Line ascending to the right gradually
f(x)=suare root of x
x math 3 graph

26. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Conditional
45 degree angle
20+.05x=5+.10x x=minutes
neither

27. Standard absolute value - horizontal shift formulas for left and right
Conditional
f(x+c) and f(x-c)
(-infinity - +infinity)
odd

28. Two vertical lines side by side are a symbol for what
[0 -+infinity)
parraelle line
Absolute Value - Constant and Standard Quadratic
inconsitent

29. What is the domain for an absolute value function?
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.
(-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

30. What are the calculator instructions for the standard cubic function?
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.
x2-x1 because the demonaitor of a quotient can never equal zero
x math 3 graph

31. What type of slope do you have when a line falls left to right and m<0?
negative slope
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
Yes because two x's or domains can point to one y
Line ascending to the right gradually

32. What is the formula for to calculate the difference of a quotient function?
As many as you like
Absolute Value - Constant and Standard Quadratic
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x+h)-f(x)/h h cannot equal zero

33. y=f(cx) what does this formula represent?
2nd key - x^2 - graph
Y=x - identity function
f(x^1)=f(x^2)
0<c<1 - horizontal stretching

34. Draw or discuss a constant function
The second set of components of an ordered pair
odd
Cannot be drawn in quizlet
2nd key - x^2 - graph

35. Is a constant function even - odd or neither?
even
The single number y=
A V
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. What are the calculator instructions for the cube root function?
As many as you like
C>1 - horizontal shrinking
x math 3 graph
math 4 x - graph

37. What type of slope do horizontal lines have?
f(x) = x
4 -6 -9
parabola
same

38. What is the range for an absolute value function?
Yes - all the domains points to one range
f(x)=+c and f(x)-c
(-infinity - 0]U[0 - +infinity)
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.

39. What is a constant function?
45 degree angle
Y=x^2 - graph
f(x^1)=f(x^2)
x = the original sale price and the formula is x - .40x =$276

40. 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
Y
Conditional

41. x= a real number is what type of equation?
x^2
f of g and g of f
math 4 x - graph
Conditional

42. What is the domain for the standard cubic function?
identity
odd
(-infinity - +infinity)
parabola

43. 4x+5x=8x is what type of an equation?
Conditional
As many as you like
math 4 x - graph
Approach neg toward x through zero and above positive close to x

44. Which direction does f(x)=+c move in standard absolute value formula?
even
(-infinity - +infinity)
up
math 4 x - graph

45. What type of line is a constant function?
horizontal
no because you cannot have one domain pointing at two y's or ranges
Change in y / change in x = rise / run = y2-y1 / x2-x1
even

46. f(x) = x^2+3x+5 - what type of formula is this?
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
function notation

47. In an identity function if f(10)=x than what is y?
Y=10
The first set of components of an ordered pair
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.
The opposite coordinates

48. What is a relation?
Line ascending to the right gradually
Any set of ordered pairs
horizontal
up

49. What type of slope do you have when a line rises from left to right and m>0?
Y=x^2 - graph
postiive slope
f(x2)-f(x1) / x2-x1
Y=10

50. how many domains can you have pointing to one range?
function notation
f(x)=IxI
As many as you like
Y=10