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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 the domain for the standard cubic function?
Conditional
inconsitent
horizontal left
(-infinity - +infinity)

2. What does the graph of the cube root function look like on the graph?
inconsitent
identity
Approach neg toward x through zero and above positive close to x
Y=b

3. What are two examples of composit 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
x=a
f(x) = x
f of g and g of f

4. What does the absolute value function look like?
inconsistant
A V
undefined slope
x = the original sale price and the formula is x - .40x =$276

5. What is the formula for an identity function?
f(x) = x
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.
Line ascending to the right gradually
odd

6. What are the steps for solving a word problem?
odd
[0 -+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
(-infinity - +infinity)

7. x=no real numbers is what type of an equation?
45 degree angle
f(x)=+c and f(x)-c
inconsistant
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

8. What is the range of an identity function?
Y=x - identity function
f of g and g of f
postiive slope
(-infinity - +infinity)

9. What type of slope do you have when the line is horizontal and m=0?
zero slope
horizontal right
2nd catalog (zero key -) abs(x) - graph
C>1 - horizontal shrinking

10. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
A line passing through two distinct points
The second set of components of an ordered pair
f(x)=x^3

11. Is an absolute value function even - odd or neither?
only one
(-infinity - +infinity)
even
The single number y=

12. What are the four steps for solving a linear equation?
[0 -+infinity)
(-infinity - +infinity)
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+h)-f(x)/h h cannot equal zero

13. 4x+5x=8x is what type of an equation?
because the demintor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Conditional
odd

14. What are the calculator instructions for absolute value?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
Square Root
m

15. What is a domain?
The first set of components of an ordered pair
Y=x^2 - graph
Piecewise
undefined

16. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
even
Y=x^2 - graph

17. what is the letter used to represent slope?
Y=x^2 - graph
(-infinity - +infinity)
The single number y=
m

18. 4(x-7)=4x+28 is what type of an equation?
2nd key - x^2 - graph
f(x) = x
4 -6 -9
inconsitent

19. x=all real numbers is what type of an equation?
f of g and g of f
identity
Piecewise
no because you cannot have one domain pointing at two y's or ranges

20. f(x) = x^2+3x+5 - what type of formula is this?
undefined slope
function notation
45 degree angle
1 -2 -3

21. What is a function?
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
Square Root
inconsistant
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

22. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
x=a
(-infinity - +infinity)
down

23. Is an identity function even - odd or neither?
odd
(-infinity - +infinity)
Conditional
horizontal

24. In an identity function if f(10)=x than what is y?
Equation of a line
The slope of a line containing two points
f of g and g of f
Y=10

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
2nd catalog (zero key -) abs(x) - graph
The secant line
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
even

26. What is the formula in both horizontal stretching and horizontal shrinking?
x=a
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

27. What are the algebra of functions?
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
f(x)=+c and f(x)-c

28. 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?
postiive slope
Line ascending to the right gradually
parabola - up one and right three
x is the hours to repair the boat. $1603-532=anwser/63 = x

29. What is the formula for the standard cubic function?
f(x)=x^3
2nd key - x^2 - graph
even
(-infinity - +infinity)

30. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
undefined
(-infinity - 0]U[0 - +infinity)
parabola - up one and right three

31. What is the standard quadratic function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
x^2
Approach neg toward x through zero and above positive close to x

32. Two vertical lines side by side are a symbol for what
odd
parraelle line
Approach neg toward x through zero and above positive close to x
horizontal

33. What is slope?
Y
45 degree angle
A line passing through two distinct points
because the demintor of a quotient can never equal zero

34. What is the domain for a standard quadratic function?
(-infinity - +infinity)
horizontal right
[0 -+infinity)
x^2

35. What is the slope of a perpendicular line?
Yes - all the domains points to one range
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
negative inverse

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

37. What is a constant function?
only one
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)
horizontal

38. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
When does a graph not define y as a function of x?
horizontal left
x = the original sale price and the formula is x - .40x =$276

39. What type of slope do you have when m=? and the line is vertical?
undefined slope
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
f(x)=suare root of x

40. What can we substitute for f(x)?
45 degree angle
negative slope
Y
(-infinity - 0]U[0 - +infinity)

41. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
x=a

42. What is the domain of the cube root function?
odd
Cannot be drawn in quizlet
(-infinity - +infinity)
4 -6 -9

43. A flat line underlining one vertical line is a symbol for
perpendicular line
x math 3 graph
A V
no because you cannot have one domain pointing at two y's or ranges

44. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
undefined slope
in a quotient
Y=b

45. Standard absolute value - vertical shift formulas for positve and negative
Equation of a line
f(x)=+c and f(x)-c
same
m

46. Draw or discuss a constant function
Any set of ordered pairs
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
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. What does the square root function look like on a graph?
The slope of a line containing two points
Line ascending to the right gradually
The second set of components of an ordered pair
(-infinity - +infinity)

48. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
same
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

49. What is another way to write f(x)=x - what type of function is this?
parabola
When does a graph not define y as a function of x?
Y=x - identity function
undefined slope

50. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
only one
Mirror image neg quadrant to that of the positive quandrant