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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 a standard quadratic function?
undefined slope
(-infinity - +infinity)
negative inverse
Yes because two x's or domains can point to one y

2. Which direction does f(x+c) move
Line ascending to the right gradually
horizontal left
f of g and g of f
20+.05x=5+.10x x=minutes

3. How do you graph Ax+By+C=0?
45 degree angle
horizontal left
Set the x and y to zero and get the intercepts and then plot the points
f of g and g of f

4. What is the formula for the cube root function?
Cannot be drawn in quizlet
45 degree angle
f(x)=3 square root x
parabola - up one and right three

5. What is a domain?
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.
The first set of components of an ordered pair
When does a graph not define y as a function of x?

6. What is the domain of a square root function?
2nd key - x^2 - graph
Cannot be drawn in quizlet
[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

7. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates
C>1 - horizontal shrinking
A V

8. What type of function would you use to calculate the most advantageous cell phone plan?
same
Piecewise
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)

9. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
even
(-infinity - +infinity)
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.

10. Is the square root function odd - even or neither?
2nd catalog (zero key -) abs(x) - graph
down
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
neither

11. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x = the original sale price and the formula is x - .40x =$276
20+.05x=5+.10x x=minutes
[0 -+infinity)

12. What are the calculator instructions for a standard quadratic equation?
0<c<1 - horizontal stretching
Y=x^2 - graph
(-infinity - +infinity)
x=a

13. What does linear equation mean?
Cannot be drawn in quizlet
Equation of a line
m
Y= then enter the number then press graph

14. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
parabola - up one and right three
f(x)=suare root of x
Approach neg toward x through zero and above positive close to x

15. What is the horizontal line formula?
The second set of components of an ordered pair
Y=b
m
no because you cannot have one domain pointing at two y's or ranges

16. What type of line is a constant function?
horizontal
1 -2 -3
same
Approach neg toward x through zero and above positive close to x

17. f(x) = x^2+3x+5 - what type of formula is this?
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.
1 -2 -3
even
function notation

18. What is a constant function?
Yes because two x's or domains can point to one y
f(x^1)=f(x^2)
x2-x1 because the demonaitor of a quotient can never equal zero
undefined slope

19. Is a constant function even - odd or neither?
because the demintor of a quotient can never equal zero
Conditional
(-infinity - +infinity)
even

20. What is the formula for an identity function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
f(x) = x
Cannot be drawn in quizlet

21. Standard absolute value - vertical shift formulas for positve and negative
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes because two x's or domains can point to one y
even
f(x)=+c and f(x)-c

22. What is the domain and range of a constant function?
odd
undefined slope
(-infinity - +infinity)
[0 -+infinity)

23. 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?
f(x2)-f(x1) / x2-x1
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes because two x's or domains can point to one y
zero slope

24. What are the calculator instructions for absolute value?
Square Root
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
down

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Y=x^2 - graph
As equations
function notation

26. Two vertical lines side by side are a symbol for what
horizontal
Cannot be drawn in quizlet
The slope of a line containing two points
parraelle line

27. Draw or discuss a constant function
45 degree angle
Cannot be drawn in quizlet
identity
even

28. What is the domain for an absolute value function?
45 degree angle
Y=x^2 - graph
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

29. What type of slope do horizontal lines have?
Y=IxI
same
Y
The first set of components of an ordered pair

30. What is the domain of an identity function?
(-infinity - +infinity)
Y=b
The minimum or maximum points
horizontal

31. What is the range for an absolute value function?
f(x+c) and f(x-c)
x^2
(-infinity - 0]U[0 - +infinity)
f(x)=+c and f(x)-c

32. What does the average rate of change formula solve?
The slope of a line containing two points
A line passing through two distinct points
Conditional
x = the original sale price and the formula is x - .40x =$276

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

34. What are the calculator instructions for the standard cubic function?
parabola - up one and right three
Conditional
x math 3 graph
f(x)=IxI

35. What is the range for a standard quadratic function?
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.
0<c<1 - horizontal stretching
(-infinity - 0]U[0 - +infinity)
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

36. x=all real numbers is what type of an equation?
(-infinity - +infinity)
perpendicular line
identity
(-infinity - +infinity)

37. What type of line is an identity function?
inconsitent
x=a
45 degree angle
only one

38. What is the range for the standard cubic function?
horizontal
The slope of a line containing two points
45 degree angle
(-infinity - +infinity)

39. What does the graph of the cube root function look like on the graph?
f(x)=suare root of x
Approach neg toward x through zero and above positive close to x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

40. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

41. What points do you use to plot the inverse on a graph?
Y=b
(-infinity - +infinity)
The opposite coordinates
same

42. What type of slope do you have when a line falls left to right and m<0?
down
The second set of components of an ordered pair
negative inverse
negative slope

43. What is the formula for an absolute value function?
f(x)=IxI
function notation
(-infinity - 0]U[0 - +infinity)
45 degree angle

44. What is the slope of a perpendicular line?
negative inverse
(-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
Line ascending to the right gradually

45. What is a function?
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
negative slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

46. Which direction does f(x)=+c move in standard absolute value formula?
Absolute Value - Constant and Standard Quadratic
negative inverse
Y= then enter the number then press graph
up

47. What is a relation?
m
inconsistant
Any set of ordered pairs
horizontal right

48. What are the four steps for solving a linear equation?
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.
2nd catalog (zero key -) abs(x) - graph
The second set of components of an ordered pair
Square Root

49. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Piecewise
Approach neg toward x through zero and above positive close to x
A V

50. What is the slope intercept formula? Define all the variables.
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
f(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph