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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 does the graph of the cube root function look like on the graph?
negative inverse
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

2. Which direction does f(x+c) move
inconsistant
2nd key - x^2 - graph
horizontal left
Y

3. Is an absolute value function even - odd or neither?
even
Yes because two x's or domains can point to one y
horizontal
x = the original sale price and the formula is x - .40x =$276

4. What does the average rate of change formula solve?
The slope of a line containing two points
Y=x^2 - graph
no because you cannot have one domain pointing at two y's or ranges
because the demintor of a quotient can never equal zero

5. how many ranges can you have for each domain?
even
identity
only one
Yes - all the domains points to one range

6. How are functions normally written?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
As equations
The slope of a line containing two points

7. 4(x-7)=4x+28 is what type of an equation?
undefined
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.
inconsitent
even

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The secant line
parraelle line
When does a graph not define y as a function of x?

9. f(x) = x^2+3x+5 - what type of formula is this?
function notation
f(x)=suare root of x
because the demintor of a quotient can never equal zero
45 degree angle

10. y=f(cx) what does this formula represent?
x is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking
0<c<1 - horizontal stretching
The opposite coordinates

11. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
up
Y=IxI
A V
x = the original sale price and the formula is x - .40x =$276

12. What is the range for a standard quadratic function?
down
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)
negative slope

13. What is the range for the standard cubic function?
As equations
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.
(-infinity - +infinity)
in a quotient

14. What is the range of the cube root function?
45 degree angle
(-infinity - +infinity)
When does a graph not define y as a function of x?
f(x)=suare root of x

15. Is a standard quadratic function even - odd or neither?
even
4 -6 -9
Yes - all the domains points to one range
The single number y=

16. What type of slope do you have when m=? and the line is vertical?
function notation
undefined slope
f(x2)-f(x1) / x2-x1
When does a graph not define y as a function of x?

17. What is the domain for a standard quadratic function?
(-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
Cannot be drawn in quizlet
identity

18. What is the domain for an absolute value function?
(-infinity - +infinity)
odd
The secant line
Y=b

19. What are the four steps for finding the inverse of a function?
perpendicular line
f(x^1)=f(x^2)
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

20. Two vertical lines side by side are a symbol for what
parraelle line
(f+g) - (f-g) - (fg) - (f/g) all of x
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c

21. What points do you use to plot the inverse on a graph?
The opposite coordinates
Y=10
(-infinity - +infinity)
parraelle line

22. What is the vertical line test?
When does a graph not define y as a function of x?
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
f(x+c) and f(x-c)

23. A flat line underlining one vertical line is a symbol for
perpendicular line
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant

24. 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
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.
f(x2)-f(x1) / x2-x1

25. How do you graph Ax+By+C=0?
perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
parabola - up one and right three
zero slope

26. What are the algebra of functions?
20+.05x=5+.10x x=minutes
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined slope
even

27. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(-infinity - +infinity)
odd
f of g and g of f
20+.05x=5+.10x x=minutes

28. Why can h not equal zero in the difference of a quotient function formula?
Yes - all the domains points to one range
[0 -+infinity)
because the demintor of a quotient can never equal zero
math 4 x - graph

29. What are the calculator instructions for a square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
function notation
[0 -+infinity)
2nd key - x^2 - graph

30. What is the formula in both horizontal stretching and horizontal shrinking?
A line passing through two distinct points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
The single number y=

31. What type of slope do you have when the line is horizontal and m=0?
zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=IxI
parabola

32. x=no real numbers is what type of an equation?
Y=x^2 - graph
inconsistant
even
parraelle line

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

34. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
x is the hours to repair the boat. $1603-532=anwser/63 = x
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
horizontal left

35. What is the domain and range of a constant function?
[0 -+infinity)
(-infinity - +infinity)
The opposite coordinates
45 degree angle

36. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
negative inverse
Piecewise
x is the hours to repair the boat. $1603-532=anwser/63 = x

37. In an identity function if f(10)=x than what is y?
Y=10
The opposite coordinates
(-infinity - +infinity)
function notation

38. What are two examples of composit functions?
2nd key - x^2 - graph
f of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal

39. what is a range?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
The second 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.

40. What is the range of an identity function?
The opposite coordinates
x2-x1 because the demonaitor of a quotient can never equal zero
Y=b
(-infinity - +infinity)

41. What are the calculator instructions for a standard quadratic equation?
perpendicular line
Y=x^2 - 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.
The secant line

42. What is the vertex?
negative slope
The minimum or maximum points
f of g and g of f
Y=10

43. what is the formula for slope?
identity
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Yes because two x's or domains can point to one y

44. Of the seven of algebra's common graph's how many are neither?
As equations
Square Root
Conditional
identity

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

46. What are the steps for solving a word problem?
Conditional
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
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
[0 -+infinity)

47. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b
even
4 -6 -9

48. What is a relation?
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs
inconsitent

49. What does the absolute value function look like?
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.
f(x)=IxI
f(x)=x^3
A V

50. Is the standard cubic function odd - even or neither?
horizontal right
x math 3 graph
odd
x is the hours to repair the boat. $1603-532=anwser/63 = x