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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 to calculate the difference of a quotient function?
Y=x^2 - graph
f(x+h)-f(x)/h h cannot equal zero
odd
0<c<1 - horizontal stretching

2. what is the letter used to represent slope?
same
parabola - up one and right three
Y=IxI
m

3. What is a function?
As many as you like
down
horizontal right
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. What is the range for a standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y

5. Standard absolute value - vertical shift formulas for positve and negative
The minimum or maximum points
f(x)=+c and f(x)-c
horizontal
perpendicular line

6. What is the range for the standard cubic function?
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
The single number y=
(-infinity - +infinity)

7. How would this formula move f(x)=(x+1)^2-3
A line passing through two distinct points
parabola - up one and right three
0<c<1 - horizontal stretching
only one

8. What is the domain of a square root function?
parabola - up one and right three
[0 -+infinity)
even
zero slope

9. What equation does every line have? Discuss the variables.
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)=x^3
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x

10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=b
The secant line
(-infinity - +infinity)
[0 -+infinity)

11. What is a domain?
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 secant line
The first set of components of an ordered pair
Cannot be drawn in quizlet

12. How are functions normally written?
The minimum or maximum points
The opposite coordinates
As equations
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

13. what is the formula for slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
As equations

14. What are the calculator instructions for the standard cubic function?
x math 3 graph
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-infinity - +infinity)
(-infinity - +infinity)
A line passing through two distinct points

16. What is a constant function?
f(x^1)=f(x^2)
Mirror image neg quadrant to that of the positive quandrant
identity
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

17. What type of function would you use to calculate the most advantageous cell phone plan?
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.
4 -6 -9
Piecewise
in a quotient

18. Of the seven of algebra's common graph's how many are neither?
The first set of components of an ordered pair
2nd key - x^2 - graph
Square Root
(-infinity - +infinity)

19. What are the four steps for solving a linear equation?
inconsitent
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.
Y=x^2 - graph
Y= then enter the number then press graph

20. What is the vertical line test?
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?
f of g and g of f
Cannot be drawn in quizlet

21. What is the range of the constant function?
The single number y=
Y= then enter the number then press graph
Any set of ordered pairs
Cannot be drawn in quizlet

22. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
C>1 - horizontal shrinking
inconsitent
1 -2 -3

23. Draw or discuss a constant function
odd
f(x) = x
Square Root
Cannot be drawn in quizlet

24. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Set the x and y to zero and get the intercepts and then plot the points
f(x)=+c and f(x)-c
The opposite coordinates

25. 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?
parraelle line
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+h)-f(x)/h h cannot equal zero
As many as you like

26. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Cannot be drawn in quizlet
A line passing through two distinct points
Three odd - cube root - identity - standard cubic

27. What is the domain of the cube root function?
in a quotient
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
4 -6 -9

28. Standard absolute value - horizontal shift formulas for left and right
f(x)=suare root of x
f(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

29. Is the standard cubic function odd - even or neither?
m
odd
x is the hours to repair the boat. $1603-532=anwser/63 = x
neither

30. What are the four steps for finding the inverse of a function?
Yes because two x's or domains can point to one y
(-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
identity

31. what is a range?
The second set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x = the original sale price and the formula is x - .40x =$276
The single number y=

32. What is the range of a square root function?
negative inverse
[0 -+infinity)
(-infinity - +infinity)
As equations

33. What is an identity function?
45 degree angle
When does a graph not define y as a function of x?
f(x)=x^3
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.

34. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
f(x)=IxI
Conditional
Piecewise

35. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
[0 -+infinity)
same

36. Is the square root function odd - even or neither?
horizontal
neither
Y=x - identity function
horizontal left

37. When is the only time (-infinity - +infinity) is not the domain?
Y=x - identity function
in a quotient
(-infinity - +infinity)
As many as you like

38. What type of line is an identity function?
45 degree angle
odd
[0 -+infinity)
f(x)=+c and f(x)-c

39. What type of slope do vertical lines have?
undefined
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
zero slope
perpendicular line

40. What is another way to write f(x)=x - what type of function is this?
Yes because two x's or domains can point to one y
Y=x - identity function
Y= then enter the number then press graph
Yes - all the domains points to one range

41. What is the domain of an identity function?
(-infinity - +infinity)
The slope of a line containing two points
When does a graph not define y as a function of x?
C>1 - horizontal shrinking

42. What type of slope do you have when the line is horizontal and m=0?
undefined
The opposite coordinates
A line passing through two distinct points
zero slope

43. What is the formula for an absolute value function?
Cannot be drawn in quizlet
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph

44. 4(x-7)=4x-28 is what type of an equation?
identity
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
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 type of slope do you have when a line falls left to right and m<0?
f(x)=+c and f(x)-c
down
(-infinity - +infinity)
negative slope

46. Why can h not equal zero in the difference of a quotient function formula?
negative slope
because the demintor of a quotient can never equal zero
[0 -+infinity)
undefined slope

47. What is the formula for the square root function?
f(x)=suare root of x
(-infinity - 0]U[0 - +infinity)
horizontal right
x^2

48. What is the domain for an absolute value function?
(-infinity - +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
perpendicular line
even

49. What is the vertical line formula?
x=a
[0 -+infinity)
inconsitent
(-infinity - 0]U[0 - +infinity)

50. What is the point slope formula and when do you use it?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsistant
inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope