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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 formula for an identity function?
f(x) = x
45 degree angle
Any set of ordered pairs
odd

2. how many ranges can you have for each domain?
2nd key - x^2 - graph
no because you cannot have one domain pointing at two y's or ranges
When does a graph not define y as a function of x?
only one

3. what is a range?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The second set of components of an ordered pair
Square Root
20+.05x=5+.10x x=minutes

4. What does the square root function look like on a graph?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually

5. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
x=a
20+.05x=5+.10x x=minutes

6. What does linear equation mean?
Equation of a line
Yes because two x's or domains can point to one y
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1

7. What are the four steps for finding the inverse of a function?
Y=x - identity 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 - +infinity)
x^2

8. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three

9. Draw or discuss a decreasing function
only one
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.
x=a

10. 4(x-7)=4x-28 is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+c) and f(x-c)
identity
Equation of a line

11. $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?
Square Root
f of g and g of f
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
negative slope

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

13. 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?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola

14. What type of slope do you have when the line is horizontal and m=0?
Equation of a line
zero slope
(-infinity - +infinity)
identity

15. what can never equal zero in the slope formula and why?
only one
x2-x1 because the demonaitor of a quotient can never equal zero
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
odd
undefined slope
Yes - all the domains points to one range

17. What is the point slope formula and when do you use it?
horizontal right
function notation
Any set of ordered pairs
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

18. What is the range for an absolute value function?
same
f(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

19. What is another way of writing the absolute value function?
Cannot be drawn in quizlet
Y=IxI
same
(-infinity - +infinity)

20. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
A V
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

21. What type of slope do horizontal lines have?
Mirror image neg quadrant to that of the positive quandrant
same
Three odd - cube root - identity - standard cubic
negative inverse

22. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
identity

23. Standard absolute value - vertical shift formulas for positve and negative
Approach neg toward x through zero and above positive close to x
Line ascending to the right gradually
f(x)=+c and f(x)-c
perpendicular line

24. y=f(cx) what does this formula represent?
x=a
math 4 x - graph
Cannot be drawn in quizlet
0<c<1 - horizontal stretching

25. What type of slope do you have when a line rises from left to right and m>0?
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
f(x)=+c and f(x)-c
undefined
postiive slope

26. 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
parabola - up one and right three
Conditional
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

27. In an identity function if f(10)=x than what is y?
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
identity
because the demintor of a quotient can never equal zero

28. What is the slope of a perpendicular line?
negative inverse
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet

29. What is the formula for the cube root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function
f(x)=3 square root x
The slope of a line containing two points

30. What is a function?
Yes - all the domains points to one range
postiive slope
identity
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

31. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x+c) and f(x-c)
horizontal left

32. Is an identity function even - odd or neither?
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
odd
f(x2)-f(x1) / x2-x1

33. 4(x-7)=4x+28 is what type of an equation?
(-infinity - 0]U[0 - +infinity)
identity
inconsitent
Y=x - identity function

34. What is the domain of the cube root function?
(-infinity - +infinity)
Line ascending to the right gradually
horizontal
[0 -+infinity)

35. What is the formula for the square root function?
2nd key - x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points
f(x)=suare root of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-infinity - +infinity)
(-infinity - +infinity)
The first set of components of an ordered pair

37. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=b
The opposite coordinates

38. What is the domain for an absolute value 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.
inconsistant
2nd key - x^2 - graph
(-infinity - +infinity)

39. Standard absolute value - horizontal shift formulas for left and right
Piecewise
f(x+c) and f(x-c)
perpendicular line
Y=b

40. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
4 -6 -9
x^2
parabola
20+.05x=5+.10x x=minutes

41. What can we substitute for f(x)?
odd
Y
Any set of ordered pairs
horizontal

42. Is the standard cubic function odd - even or neither?
odd
neither
inconsistant
(f+g) - (f-g) - (fg) - (f/g) all of x

43. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
negative inverse
horizontal
parabola

44. how many domains can you have pointing to one range?
(-infinity - +infinity)
parabola - up one and right three
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As many as you like

45. What are the algebra of functions?
in a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
(-infinity - +infinity)

46. What equation does every line have? Discuss the variables.
When does a graph not define y as a function of x?
parabola
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.
Conditional

47. What is the formula in both horizontal stretching and horizontal shrinking?
up
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

48. What is the range of a square root function?
Equation of a line
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic
[0 -+infinity)

49. What type of line is a constant function?
(-infinity - +infinity)
horizontal
f(x) = x
As equations

50. Is the square root function odd - even or neither?
(-infinity - 0]U[0 - +infinity)
neither
f(x+h)-f(x)/h h cannot equal zero
odd