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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 the four steps for finding the inverse of a function?
0<c<1 - horizontal stretching
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=3 square root x
Line ascending to the right gradually

2. What is the domain for the standard cubic function?
The opposite coordinates
x = the original sale price and the formula is x - .40x =$276
undefined slope
(-infinity - +infinity)

3. What is a constant function?
f(x^1)=f(x^2)
x is the hours to repair the boat. $1603-532=anwser/63 = x
x^2
f(x) = x

4. Draw or discuss a decreasing function
A V
no because you cannot have one domain pointing at two y's or ranges
up
Cannot be drawn in quizlet

5. What can we substitute for f(x)?
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
identity
Y=b

6. 4x+5x=8x is what type of an equation?
Conditional
x math 3 graph
inconsitent
perpendicular line

7. Is a standard quadratic function even - odd or neither?
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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.
same

8. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
parabola - up one and right three
(-infinity - +infinity)
The secant line
20+.05x=5+.10x x=minutes

9. What type of slope do vertical lines have?
undefined
f(x)=3 square root x
Cannot be drawn in quizlet
even

10. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
The first set of components of an ordered pair
undefined slope
(-infinity - +infinity)

11. How would this formula move f(x)=(x+1)^2-3
(-infinity - 0]U[0 - +infinity)
undefined
parabola - up one and right three
0<c<1 - horizontal stretching

12. What is the formula for the standard cubic function?
perpendicular line
f(x)=x^3
x math 3 graph
f(x^1)=f(x^2)

13. What are the calculator instructions for absolute value?
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
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

14. What is slope?
Y=b
A line passing through two distinct points
Cannot be drawn in quizlet
undefined slope

15. What is the domain of an identity function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
postiive slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

16. Which direction does f(x)=+c move in standard absolute value formula?
Any set of ordered pairs
up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle

17. Draw or discuss an increasing function
only one
The minimum or maximum points
(-infinity - +infinity)
Cannot be drawn in quizlet

18. What is the range of a square root function?
m
negative slope
[0 -+infinity)
neither

19. What is an identity function?
f(x) = x
m
45 degree angle
f(x)=suare root of x

20. What shape is the standard quadratic function?
parabola
undefined slope
same
function notation

21. What is a function?
odd
Conditional
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
math 4 x - graph

22. What is the range of an identity function?
(-infinity - +infinity)
inconsitent
Yes - all the domains points to one range
function notation

23. What is the vertical line formula?
x=a
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The opposite coordinates

24. Is a constant function even - odd or neither?
parabola
even
m
4 -6 -9

25. what is a range?
Conditional
1 -2 -3
undefined slope
The second set of components of an ordered pair

26. Draw or discuss a constant function
4 -6 -9
f(x)=suare root of x
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276

27. What are the calculator instructions for the standard cubic function?
x math 3 graph
Y=x^2 - graph
horizontal right
Yes because two x's or domains can point to one y

28. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
negative inverse
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

29. f(x) = x^2+3x+5 - what type of formula is this?
C>1 - horizontal shrinking
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)
function notation

30. What does the square root function look like on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd
Line ascending to the right gradually
Equation of a line

31. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
horizontal
even

32. What does linear equation mean?
0<c<1 - horizontal stretching
Conditional
Equation of a line
f of g and g of f

33. What type of slope do you have when a line falls left to right and m<0?
undefined slope
negative slope
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

34. What are the four steps for solving a linear equation?
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
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
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

35. y=f(cx) what does this formula represent?
Approach neg toward x through zero and above positive close to x
20+.05x=5+.10x x=minutes
Conditional
0<c<1 - horizontal stretching

36. What is the domain for a standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity

37. What is the range for an absolute value function?
The slope of a line containing two points
undefined
only one
(-infinity - 0]U[0 - +infinity)

38. What does the average rate of change formula solve?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
The slope of a line containing two points
down

39. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
4 -6 -9
f(x2)-f(x1) / x2-x1
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

40. What is the domain of a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
down
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)

41. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The minimum or maximum points
The secant line
Y=x - identity function
negative inverse

42. What does the absolute value function look like?
Y=b
(-infinity - 0]U[0 - +infinity)
A V
Y

43. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x
x math 3 graph
(-infinity - +infinity)

44. What points do you use to plot the inverse on a graph?
horizontal
The opposite coordinates
perpendicular line
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

45. What is a relation?
[0 -+infinity)
function notation
Any set of ordered pairs
neither

46. What is the vertical line test?
horizontal left
x is the hours to repair the boat. $1603-532=anwser/63 = x
When does a graph not define y as a function of x?
even

47. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Square Root
2nd key - x^2 - graph
Y=10
Yes - all the domains points to one range

48. What is another way to write f(x)=x - what type of function is this?
Mirror image neg quadrant to that of the positive quandrant
Y= then enter the number then press graph
odd
Y=x - identity function

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

50. What is the vertex?
20+.05x=5+.10x x=minutes
The minimum or maximum points
(-infinity - 0]U[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1