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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 of a square root function?
Conditional
up
[0 -+infinity)
horizontal

2. What is the range of the cube root function?
Cannot be drawn in quizlet
The opposite coordinates
(-infinity - +infinity)
only one

3. how many domains can you have pointing to one range?
As many as you like
in a quotient
even
m

4. What shape is the standard quadratic function?
parabola
20+.05x=5+.10x x=minutes
horizontal
Absolute Value - Constant and Standard Quadratic

5. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
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.
Approach neg toward x through zero and above positive close to x
identity

6. 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.
horizontal left
negative slope
f(x) = x

7. What is the formula for the standard cubic function?
f(x)=x^3
(-infinity - +infinity)
[0 -+infinity)
(-infinity - +infinity)

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

9. How would this formula move f(x)=(x+1)^2-3
horizontal left
Cannot be drawn in quizlet
parabola - up one and right three
function notation

10. What type of slope do you have when m=? and the line is vertical?
postiive slope
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
undefined slope

11. What are the steps for solving a word problem?
f(x)=x^3
Square Root
The slope of a line containing two points
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

12. Of the seven of algebra's common graph's how many are odd?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
Equation of a line
Three odd - cube root - identity - standard cubic

13. What is the slope of a perpendicular line?
f(x)=+c and f(x)-c
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
negative inverse

14. What is the domain of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
parabola
Three odd - cube root - identity - standard cubic

15. What is the vertex?
Line ascending to the right gradually
x = the original sale price and the formula is x - .40x =$276
f(x2)-f(x1) / x2-x1
The minimum or maximum points

16. Standard absolute value - vertical shift formulas for positve and negative
f(x2)-f(x1) / x2-x1
f(x)=+c and f(x)-c
identity
The second set of components of an ordered pair

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

18. What does the graph of the cube root function look like on the graph?
odd
Approach neg toward x through zero and above positive close to x
The second set of components of an ordered pair
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

19. What is slope?
Y=x^2 - graph
4 -6 -9
45 degree angle
A line passing through two distinct points

20. What is the domain for the standard cubic function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes
horizontal right

21. What is the vertical line formula?
x=a
(-infinity - +infinity)
f(x)=suare root of x
The secant line

22. What is a relation?
The slope of a line containing two points
(-infinity - +infinity)
45 degree angle
Any set of ordered pairs

23. What is the range of a square root function?
x2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
Y=IxI
even

24. what is the letter used to represent slope?
m
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
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.

25. Is an absolute value function even - odd or neither?
Y=10
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.
identity
even

26. What is the point slope formula and when do you use it?
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)
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. Which direction does f(x)=+c move in standard absolute value formula?
1 -2 -3
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.
up
The first set of components of an ordered pair

28. Draw or discuss a constant function
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
odd
f(x+c) and f(x-c)

29. What is the range of the constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity
(-infinity - +infinity)
The single number y=

30. How do you calculate a constant function in your calculator?
odd
The opposite coordinates
Y= then enter the number then press graph
f(x2)-f(x1) / x2-x1

31. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
postiive slope
Yes because two x's or domains can point to one y
m

32. What is the range of an identity function?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
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
horizontal left

33. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]U[0 - +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(x2)-f(x1) / x2-x1

34. A flat line underlining one vertical line is a symbol for
f(x)=x^3
The minimum or maximum points
function notation
perpendicular line

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

36. What is the formula for the square root function?
perpendicular line
f(x+c) and f(x-c)
f(x)=suare root of x
The opposite coordinates

37. What is the formula for an identity function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
f(x) = x
m

38. $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?
down
f(x)=IxI
odd
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

39. What is the range for a standard quadratic function?
x=a
(-infinity - 0]U[0 - +infinity)
x = the original sale price and the formula is x - .40x =$276
Piecewise

40. What does the standard cubic function look like on a graph?
negative inverse
Mirror image neg quadrant to that of the positive quandrant
odd
The minimum or maximum points

41. What is the average rate of change formula?
same
f(x2)-f(x1) / x2-x1
Y=x - identity function
(-infinity - +infinity)

42. What is the domain and range of a constant function?
x^2
As equations
odd
(-infinity - +infinity)

43. Two vertical lines side by side are a symbol for what
undefined slope
parraelle line
f(x) = x
f(x^1)=f(x^2)

44. What is a constant function?
Y= then enter the number then press graph
f(x^1)=f(x^2)
f(x+c) and f(x-c)
horizontal right

45. Draw or discuss a decreasing function
Three odd - cube root - identity - standard cubic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

46. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Conditional
perpendicular line

47. What is the formula for to calculate the difference of a quotient function?
The secant line
f(x+h)-f(x)/h h cannot equal zero
x=a
Y= then enter the number then press graph

48. What type of line is a constant function?
odd
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
horizontal
Y=b

49. What is the formula for the cube root function?
Y=x^2 - graph
because the demintor of a quotient can never equal zero
f(x)=3 square root x
parabola

50. What is the domain for an absolute value function?
undefined slope
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
odd