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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 the standard cubic function?
A line passing through two distinct points
(-infinity - +infinity)
in a quotient
f(x)=3 square root x

2. What are the calculator instructions for a square root function?
x=a
inconsitent
[0 -+infinity)
2nd key - x^2 - graph

3. What is slope?
x = the original sale price and the formula is x - .40x =$276
As equations
A line passing through two distinct points
Cannot be drawn in quizlet

4. What direction does f(x)-c move in standard absolute value formula?
Y
45 degree angle
Three odd - cube root - identity - standard cubic
down

5. 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?
The second set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic
Y= then enter the number then press graph

6. What does the standard cubic function look like on a 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.
Mirror image neg quadrant to that of the positive quandrant
x is the hours to repair the boat. $1603-532=anwser/63 = x
even

7. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
1 -2 -3
(-infinity - +infinity)
4 -6 -9
Square Root

8. When is the only time (-infinity - +infinity) is not the domain?
odd
C>1 - horizontal shrinking
in a quotient
undefined

9. What is the standard quadratic function?
Conditional
f(x)=3 square root x
x^2
x=a

10. What is another way to write f(x)=x - what type of function is this?
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
identity
Y=x - identity function

11. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
f of g and g of f

12. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Cannot be drawn in quizlet
Y= then enter the number then press graph
(-infinity - +infinity)

13. A flat line underlining one vertical line is a symbol for
x^2
The single number y=
(f+g) - (f-g) - (fg) - (f/g) all of x
perpendicular line

14. 4x+5x=8x is what type of an equation?
x2-x1 because the demonaitor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points
Conditional

15. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet

16. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
negative slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise

17. What points do you use to plot the inverse on a graph?
Y=b
1 -2 -3
f(x)=IxI
The opposite coordinates

18. What is the range of an identity function?
x^2
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

19. Is an identity function even - odd or neither?
f(x) = x
Cannot be drawn in quizlet
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
odd

20. What is the vertex?
undefined
Set the x and y to zero and get the intercepts and then plot the points
x^2
The minimum or maximum points

21. What is the domain of the cube root function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal left

22. What are two examples of composit functions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
f of g and g of f
horizontal

23. Is an absolute value function even - odd or neither?
f(x)=IxI
even
Piecewise
Set the x and y to zero and get the intercepts and then plot the points

24. What is the range for the standard cubic function?
Piecewise
The single number y=
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

25. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
f(x)=3 square root x
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
up

26. f(x) = x^2+3x+5 - what type of formula is this?
even
C>1 - horizontal shrinking
Y= then enter the number then press graph
function notation

27. What type of slope do you have when a line rises from left to right and m>0?
As equations
postiive slope
parabola
(-infinity - +infinity)

28. What does the average rate of change formula solve?
A V
f(x+c) and f(x-c)
The slope of a line containing two points
no because you cannot have one domain pointing at two y's or ranges

29. Of the seven of algebra's common graph's how many are odd?
(-infinity - +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.
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

30. What does linear equation mean?
Equation of a line
f(x)=IxI
Y=IxI
45 degree angle

31. Is a standard quadratic function even - odd or neither?
parabola - up one and right three
even
x^2
zero slope

32. What is the formula for to calculate the difference of a quotient function?
f of g and g of f
f(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
45 degree angle

33. What is the domain of an identity function?
Y
even
As many as you like
(-infinity - +infinity)

34. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle

35. Of the seven of algebra's common graph's how many are even?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
neither
Absolute Value - Constant and Standard Quadratic

36. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
The minimum or maximum points
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x

37. What type of slope do horizontal lines have?
same
The slope of a line containing two points
The second set of components of an ordered pair
45 degree angle

38. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
perpendicular line
Square Root
The opposite coordinates

39. Standard absolute value - vertical shift formulas for positve and negative
20+.05x=5+.10x x=minutes
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
4 -6 -9

40. 4(x-7)=4x+28 is what type of an equation?
function notation
Piecewise
inconsitent
identity

41. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y
only one
The opposite coordinates

42. In an identity function if f(10)=x than what is y?
f(x)=x^3
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=10
inconsitent

43. Is the standard cubic function odd - even or neither?
because the demintor of a quotient can never equal zero
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
The minimum or maximum points
odd

44. x=no real numbers is what type of an equation?
inconsistant
Y=IxI
A line passing through two distinct points
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

45. What shape is the standard quadratic function?
in a quotient
zero slope
parabola
The secant line

46. What is a domain?
The single number y=
(-infinity - 0]U[0 - +infinity)
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x

47. What type of line is a constant function?
horizontal
f(x)=IxI
[0 -+infinity)
The slope of a line containing two points

48. How do you graph Ax+By+C=0?
even
(-infinity - +infinity)
horizontal left
Set the x and y to zero and get the intercepts and then plot the points

49. What is a relation?
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
undefined slope
4 -6 -9

50. What is the vertical line test?
no because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
negative slope
When does a graph not define y as a function of x?