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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. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
inconsitent
4 -6 -9
undefined
horizontal

2. What are the calculator instructions for a square root function?
Y=IxI
2nd key - x^2 - graph
perpendicular line
The opposite coordinates

3. y=f(cx) - what does this formula represent?
The second set of components of an ordered pair
4 -6 -9
negative inverse
C>1 - horizontal shrinking

4. f(x) = x^2+3x+5 - what type of formula is this?
function notation
neither
x^2
x math 3 graph

5. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Yes because two x's or domains can point to one y
0<c<1 - horizontal stretching
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V

6. What does the square root function look like on a graph?
parabola - up one and right three
(-infinity - +infinity)
Line ascending to the right gradually
f(x) = x

7. Draw or discuss a decreasing function
20+.05x=5+.10x x=minutes
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
[0 -+infinity)

8. What type of slope do you have when a line falls left to right and m<0?
Y=IxI
Piecewise
Absolute Value - Constant and Standard Quadratic
negative slope

9. Is the standard cubic function odd - even or neither?
odd
Cannot be drawn in quizlet
(-infinity - +infinity)
horizontal left

10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=x - identity function
(-infinity - +infinity)
in a quotient
The secant line

11. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points
C>1 - horizontal shrinking
(-infinity - +infinity)

12. In an identity function if f(10)=x than what is y?
Y=10
f of g and g of f
4 -6 -9
Cannot be drawn in quizlet

13. What is an identity function?
x=a
math 4 x - graph
45 degree angle
Yes - all the domains points to one range

14. What are the four steps for finding the inverse of a function?
postiive slope
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
Conditional

15. how many ranges can you have for each domain?
only one
undefined
45 degree angle
Y=b

16. Of the seven of algebra's common graph's how many are neither?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root
45 degree angle

17. What equation does every line have? Discuss the variables.
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.
Mirror image neg quadrant to that of the positive quandrant

18. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
horizontal
(-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
Y=b

19. What is the range of an identity function?
undefined
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)
f(x)=suare root of x

20. What is the domain for an absolute value function?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
A line passing through two distinct points
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. What is a domain?
As equations
The first set of components of an ordered pair
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

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

23. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
even
The single number y=
undefined

24. what is the letter used to represent slope?
(-infinity - +infinity)
m
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root

25. What are the calculator instructions for a standard quadratic equation?
perpendicular line
Y=IxI
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph

26. Which direction does f(x-c) move
horizontal right
parraelle line
20+.05x=5+.10x x=minutes
function notation

27. What does the average rate of change formula solve?
The slope of a line containing two points
because the demintor of a quotient can never equal zero
up
x^2

28. What is the range for an absolute value function?
Mirror image neg quadrant to that of the positive quandrant
f(x)=suare root of x
Any set of ordered pairs
(-infinity - 0]U[0 - +infinity)

29. What are the steps for solving a word problem?
(-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
When does a graph not define y as a function of x?
[0 -+infinity)

30. What does the standard cubic function look like on a graph?
f(x) = x
Mirror image neg quadrant to that of the positive quandrant
parabola - up one and right three
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

31. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
down
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
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

32. x= a real number is what type of equation?
Conditional
odd
undefined
2nd key - x^2 - graph

33. What is the formula for an absolute value function?
f(x)=IxI
(-infinity - +infinity)
Y= then enter the number then press graph
The opposite coordinates

34. What shape is the standard quadratic function?
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
negative inverse
parabola

35. What is the domain and range of a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair
(-infinity - +infinity)
A line passing through two distinct points

36. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - +infinity)

37. 4(x-7)=4x+28 is what type of an equation?
45 degree angle
zero slope
inconsitent
Cannot be drawn in quizlet

38. 4(x-7)=4x-28 is what type of an equation?
Equation of a line
f(x) = x
identity
(-infinity - 0]U[0 - +infinity)

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
When does a graph not define y as a function of x?
only one
Absolute Value - Constant and Standard Quadratic

40. What can we substitute for f(x)?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
(-infinity - 0]U[0 - +infinity)
Y

41. What type of line is a constant function?
up
math 4 x - graph
2nd catalog (zero key -) abs(x) - graph
horizontal

42. Is a constant function even - odd or neither?
even
f(x) = x
Line ascending to the right gradually
f(x+c) and f(x-c)

43. What type of slope do horizontal lines have?
Approach neg toward x through zero and above positive close to x
postiive slope
A line passing through two distinct points
same

44. What are the algebra of functions?
(-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
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x

45. What is the range of a square root function?
f(x)=3 square root x
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)

46. Of the seven of algebra's common graph's how many are odd?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
Three odd - cube root - identity - standard cubic
x=a

47. what is a range?
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x

48. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
2nd key - x^2 - graph
no because you cannot have one domain pointing at two y's or ranges
20+.05x=5+.10x x=minutes
1 -2 -3

49. What is the vertical line formula?
x=a
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph
Y=b

50. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
odd
f(x2)-f(x1) / x2-x1
because the demintor of a quotient can never equal zero