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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 are two examples of composit functions?
(-infinity - +infinity)
Y
in a quotient
f of g and g of f

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

3. What is the domain of the cube root function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
0<c<1 - horizontal stretching
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

4. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal

5. What direction does f(x)-c move in standard absolute value formula?
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function
f(x)=+c and f(x)-c
down

6. When is the only time (-infinity - +infinity) is not the domain?
inconsistant
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
in a quotient

7. What does the average rate of change formula solve?
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 slope of a line containing two points
negative slope
A V

8. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
up
Cannot be drawn in quizlet
no because you cannot have one domain pointing at two y's or ranges

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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 math 3 graph
Yes - all the domains points to one range
20+.05x=5+.10x x=minutes

10. What is a domain?
m
even
Y= then enter the number then press graph
The first set of components of an ordered pair

11. What is slope?
As equations
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points
negative inverse

12. What is the vertical line formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x=a
Y
Approach neg toward x through zero and above positive close to x

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
x^2
same

14. what is a range?
even
The second set of components of an ordered pair
Y=x^2 - graph
Y=IxI

15. What is the domain for the standard cubic function?
A line passing through two distinct points
parabola - up one and right three
(-infinity - +infinity)
Y=x^2 - graph

16. What is a relation?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations
When does a graph not define y as a function of x?
Any set of ordered pairs

17. $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?
(-infinity - +infinity)
undefined
As many as you like
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

18. What points do you use to plot the inverse on a graph?
parraelle line
The opposite coordinates
The slope of a line containing two points
horizontal left

19. what is the letter used to represent slope?
m
undefined
Square Root
Equation of a line

20. What can we substitute for f(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.
x = the original sale price and the formula is x - .40x =$276
Y
The minimum or maximum points

21. What is another way of writing the absolute value function?
negative inverse
parabola
Y=IxI
Mirror image neg quadrant to that of the positive quandrant

22. how many domains can you have pointing to one range?
f(x)=suare root of x
As many as you like
parabola - up one and right three
(f+g) - (f-g) - (fg) - (f/g) all of x

23. What is the average rate of change formula?
even
f(x2)-f(x1) / x2-x1
math 4 x - graph
Yes because two x's or domains can point to one y

24. Why can h not equal zero in the difference of a quotient function formula?
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.
because the demintor of a quotient can never equal zero
m
Y=10

25. What are the four steps for solving a linear equation?
Equation of a line
f(x)=suare root of 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.
The secant line

26. Is a constant function even - odd or neither?
even
(-infinity - +infinity)
perpendicular line
(-infinity - +infinity)

27. 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?
Y
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

28. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
x^2
1 -2 -3

29. What is the range of the constant function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. What is the formula for an identity function?
odd
f(x) = x
parraelle line
[0 -+infinity)

31. What are the calculator instructions for a square root function?
2nd catalog (zero key -) abs(x) - graph
zero slope
Y=x^2 - graph
2nd key - x^2 - graph

32. Draw or discuss a constant function
f(x^1)=f(x^2)
even
(-infinity - +infinity)
Cannot be drawn in quizlet

33. What is the domain for a standard quadratic function?
(-infinity - +infinity)
parraelle line
2nd key - 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.

34. What is the range of an identity function?
neither
A V
(-infinity - +infinity)
When does a graph not define y as a function of x?

35. x= a real number is what type of equation?
The secant line
A line passing through two distinct points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional

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

37. What is the range for a standard quadratic function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)

38. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
f(x+c) and f(x-c)
odd
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
no because you cannot have one domain pointing at two y's or ranges

39. f(x) = x^2+3x+5 - what type of formula is this?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Absolute Value - Constant and Standard Quadratic
function notation
Square Root

40. Is an absolute value function even - odd or neither?
20+.05x=5+.10x x=minutes
even
4 -6 -9
C>1 - horizontal shrinking

41. Is the square root function odd - even or neither?
0<c<1 - horizontal stretching
neither
(-infinity - 0]U[0 - +infinity)
The single number y=

42. Is an identity function even - odd or neither?
Y=IxI
4 -6 -9
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd

43. What is an identity 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
45 degree angle
(-infinity - +infinity)

44. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
4 -6 -9
undefined
When does a graph not define y as a function of x?

45. What is the slope intercept formula? Define all the variables.
because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

46. What is the range for the standard cubic function?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
function notation

47. What is a constant function?
f(x)=3 square root x
horizontal left
f(x^1)=f(x^2)
inconsitent

48. What is the range of the cube root function?
identity
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
(-infinity - +infinity)

49. What are the calculator instructions for a standard quadratic equation?
Three odd - cube root - identity - standard cubic
Y=x^2 - graph
Y=IxI
f(x+h)-f(x)/h h cannot equal zero

50. What is the formula for the standard cubic function?
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x
4 -6 -9
f(x)=x^3