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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. Which direction does f(x-c) move
horizontal right
postiive slope
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

2. Draw or discuss a constant function
Cannot be drawn in quizlet
4 -6 -9
The single number y=
Change in y / change in x = rise / run = y2-y1 / x2-x1

3. 4(x-7)=4x+28 is what type of an equation?
[0 -+infinity)
45 degree angle
negative inverse
inconsitent

4. What is the slope of a perpendicular line?
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 - 0]U[0 - +infinity)
(-infinity - 0]U[0 - +infinity)
negative inverse

5. what can never equal zero in the slope formula and why?
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
A line passing through two distinct points
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

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

7. What is the point slope formula and when do you use it?
2nd key - x^2 - graph
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

9. What is the formula for to calculate the difference of a quotient function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
Piecewise
parabola

10. What does the square root function look like on a graph?
Line ascending to the right gradually
[0 -+infinity)
f(x)=+c and f(x)-c
Y= then enter the number then press graph

11. x=no real numbers is what type of an equation?
Y=x^2 - graph
inconsistant
(-infinity - +infinity)
Line ascending to the right gradually

12. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
same
4 -6 -9
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet

13. What is the standard quadratic function?
neither
even
(-infinity - +infinity)
x^2

14. What is the domain of the cube root function?
Cannot be drawn in quizlet
horizontal
(-infinity - +infinity)
4 -6 -9

15. What equation does every line have? Discuss the variables.
(-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.
f(x)=+c and f(x)-c
identity

16. What points do you use to plot the inverse on a graph?
(f+g) - (f-g) - (fg) - (f/g) all of x
up
The opposite coordinates
neither

17. What is the formula for the cube root function?
The opposite coordinates
horizontal right
f(x)=3 square root x
x^2

18. In an identity function if f(10)=x than what is y?
Y=10
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
A V

19. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points

20. Is a constant function even - odd or neither?
even
The secant line
As equations
[0 -+infinity)

21. What is the vertex?
math 4 x - graph
identity
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. How are functions normally written?
parabola
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As equations
odd

23. x=all real numbers is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
function notation
identity

24. What type of slope do you have when m=? and the line is vertical?
undefined slope
Line ascending to the right gradually
same
inconsitent

25. What are the calculator instructions for the standard cubic function?
f(x) = x
negative slope
down
x math 3 graph

26. What is the domain of a square root function?
Yes - all the domains points to one range
The opposite coordinates
[0 -+infinity)
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. Why can h not equal zero in the difference of a quotient function formula?
x^2
A line passing through two distinct points
because the demintor of a quotient can never equal zero
The second set of components of an ordered pair

28. A flat line underlining one vertical line is a symbol for
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The first set of components of an ordered pair
perpendicular line
(-infinity - +infinity)

29. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
identity
Equation of a line
negative slope

30. Draw or discuss a decreasing function
f(x) = x
Cannot be drawn in quizlet
same
Line ascending to the right gradually

31. Draw or discuss an increasing function
x=a
identity
The minimum or maximum points
Cannot be drawn in quizlet

32. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points
odd
horizontal

33. What is the domain for the standard cubic function?
(-infinity - +infinity)
Equation of a line
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 minimum or maximum points

34. What is the domain of an identity function?
(-infinity - +infinity)
up
x=a
(-infinity - 0]U[0 - +infinity)

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

36. What is an identity function?
45 degree angle
Yes - all the domains points to one range
no because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic

37. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd
(-infinity - +infinity)
Conditional

38. What are the calculator instructions for a square root function?
function notation
2nd key - x^2 - graph
horizontal left
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 type of line is a constant function?
horizontal
Absolute Value - Constant and Standard Quadratic
x2-x1 because the demonaitor of a quotient can never equal zero
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.

40. Standard absolute value - horizontal shift formulas for left and right
undefined
Set the x and y to zero and get the intercepts and then plot the points
horizontal left
f(x+c) and f(x-c)

41. y=f(cx) - what does this formula represent?
Absolute Value - Constant and Standard Quadratic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
C>1 - horizontal shrinking
4 -6 -9

42. What is another way of writing the absolute value function?
Y=IxI
horizontal right
Set the x and y to zero and get the intercepts and then plot the points
odd

43. What direction does f(x)-c move in standard absolute value formula?
Y=b
down
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

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

45. $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?
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 right
(-infinity - +infinity)
x^2

46. Is the standard cubic function odd - even or neither?
odd
f(x)=suare root of x
horizontal
perpendicular line

47. What shape is the standard quadratic function?
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.
f(x)=3 square root x
parabola

48. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=3 square root x
horizontal
function notation
no because you cannot have one domain pointing at two y's or ranges

49. What is the range of the cube root function?
horizontal
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
undefined

50. 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
Y= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)