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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. Is an identity function even - odd or neither?
x=a
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
odd

2. What is the formula for an identity function?
Absolute Value - Constant and Standard Quadratic
f(x) = x
2nd key - x^2 - graph
in a quotient

3. What is the domain of the cube root function?
x^2
down
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

4. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates
When does a graph not define y as a function of x?
even

5. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal
even
Absolute Value - Constant and Standard Quadratic

6. What does the absolute value function look like?
Line ascending to the right gradually
perpendicular line
A V
0<c<1 - horizontal stretching

7. A flat line underlining one vertical line is a symbol for
20+.05x=5+.10x x=minutes
When does a graph not define y as a function of x?
The opposite coordinates
perpendicular line

8. What points do you use to plot the inverse on a graph?
The opposite coordinates
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x=a
Cannot be drawn in quizlet

9. how many ranges can you have for each domain?
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.
even
Y
only one

10. What type of slope do horizontal lines have?
f(x+c) and f(x-c)
f(x)=x^3
(-infinity - +infinity)
same

11. how many domains can you have pointing to one range?
As many as you like
even
down
(-infinity - +infinity)

12. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic
A line passing through two distinct points

13. In an identity function if f(10)=x than what is y?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10
no because you cannot have one domain pointing at two y's or ranges
only one

14. What is the range for an absolute value function?
even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
(-infinity - 0]U[0 - +infinity)

15. What does linear equation mean?
f(x) = x
odd
Equation of a line
Mirror image neg quadrant to that of the positive quandrant

16. What are the calculator instructions for the standard cubic function?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x math 3 graph
When does a graph not define y as a function of x?

17. Which direction does f(x-c) move
x2-x1 because the demonaitor of a quotient can never equal zero
horizontal right
(-infinity - +infinity)
(-infinity - +infinity)

18. What are the algebra of functions?
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
A V
(f+g) - (f-g) - (fg) - (f/g) all of x
m

19. Is an absolute value 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
45 degree angle
(-infinity - 0]U[0 - +infinity)
even

20. Of the seven of algebra's common graph's how many are neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
Square Root
horizontal
odd

21. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
Yes - all the domains points to one range
20+.05x=5+.10x x=minutes
undefined slope

22. What type of line is a constant function?
odd
horizontal
down
Y= then enter the number then press graph

23. What is the range for the standard cubic function?
because the demintor of a quotient can never equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
horizontal

24. What is the domain for the standard cubic function?
neither
f of g and g of f
(-infinity - +infinity)
parabola

25. What is an identity function?
45 degree angle
(-infinity - +infinity)
f(x) = x
horizontal

26. What equation does every line have? Discuss the variables.
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
When does a graph not define y as a function of x?
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.
x is the hours to repair the boat. $1603-532=anwser/63 = x

27. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
perpendicular line
(-infinity - +infinity)

28. Why can h not equal zero in the difference of a quotient function formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
because the demintor of a quotient can never equal zero
odd
x=a

29. What is another way to write f(x)=x - what type of function is this?
horizontal
Y=x - identity function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

30. What is the range of the constant function?
The single number y=
inconsistant
45 degree angle
in a quotient

31. What is the range of an identity function?
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
odd

32. What is the formula for the standard cubic function?
f(x)=x^3
no because you cannot have one domain pointing at two y's or ranges
2nd catalog (zero key -) abs(x) - graph
even

33. What are the calculator instructions for a standard quadratic equation?
Equation of a line
identity
Y=x^2 - graph
no because you cannot have one domain pointing at two y's or ranges

34. What shape is the standard quadratic function?
inconsistant
2nd catalog (zero key -) abs(x) - graph
Y=b
parabola

35. What does the standard cubic function look like on a graph?
odd
horizontal
Mirror image neg quadrant to that of the positive quandrant
A V

36. What type of line is an identity function?
45 degree angle
odd
Three odd - cube root - identity - standard cubic
postiive slope

37. Which direction does f(x)=+c move in standard absolute value formula?
up
Y=x - identity function
A V
x = the original sale price and the formula is x - .40x =$276

38. f(x) = x^2+3x+5 - what type of formula is this?
f(x) = x
function notation
When does a graph not define y as a function of x?
x math 3 graph

39. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
odd
Conditional
because the demintor of a quotient can never equal zero

40. What are the four steps for solving a linear equation?
The slope of a line containing two points
Y=x^2 - graph
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.
f(x) = x

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

42. What are the steps for solving a word problem?
neither
in a quotient
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
45 degree angle

43. Draw or discuss a constant function
The single number y=
up
C>1 - horizontal shrinking
Cannot be drawn in quizlet

44. What is the slope of a perpendicular line?
f(x) = x
Y=10
f(x)=IxI
negative inverse

45. What is a constant function?
The opposite coordinates
f(x)=3 square root x
[0 -+infinity)
f(x^1)=f(x^2)

46. What is the vertical line formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x=a
identity
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

47. What is a domain?
f(x)=+c and f(x)-c
When does a graph not define y as a function of x?
m
The first set of components of an ordered pair

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Square Root
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

49. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
up
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
45 degree angle

50. What is the formula for the square root function?
f(x)=suare root of x
Y=x - identity function
Line ascending to the right gradually
A V