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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 vertex?
The minimum or maximum points
The slope of a line containing two points
Cannot be drawn in quizlet
Y= then enter the number then press graph

2. Why can h not equal zero in the difference of a quotient function formula?
Y=10
because the demintor of a quotient can never equal zero
Y=x - identity function
C>1 - horizontal shrinking

3. what can never equal zero in the slope formula and why?
[0 -+infinity)
Piecewise
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

4. What are the calculator instructions for a square root function?
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
Y=x^2 - graph
As many as you like

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?
Cannot be drawn in quizlet
odd
[0 -+infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

6. Standard absolute value - horizontal shift formulas for left and right
(-infinity - 0]U[0 - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+c) and f(x-c)
45 degree angle

7. What direction does f(x)-c move in standard absolute value formula?
Yes - all the domains points to one range
Y=x^2 - graph
down
[0 -+infinity)

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
45 degree angle
Absolute Value - Constant and Standard Quadratic
f(x^1)=f(x^2)

9. What are the calculator instructions for a standard quadratic equation?
down
As equations
Y=x^2 - graph
Cannot be drawn in quizlet

10. What is the formula for the cube root function?
f(x)=3 square root x
in a quotient
45 degree angle
Y=x - identity function

11. x= a real number is what type of equation?
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
even
Conditional

12. Which direction does f(x+c) move
x is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)
horizontal left

13. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
0<c<1 - horizontal stretching
up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is the formula for an absolute value function?
(-infinity - +infinity)
zero slope
The first set of components of an ordered pair
f(x)=IxI

15. x=no real numbers is what type of an equation?
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
f(x) = x
inconsistant

16. What type of slope do you have when m=? and the line is vertical?
The second set of components of an ordered pair
odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined slope

17. Two vertical lines side by side are a symbol for what
parraelle line
(-infinity - +infinity)
f(x+c) and f(x-c)
The second set of components of an ordered pair

18. Is the standard cubic function odd - even or neither?
x^2
odd
Set the x and y to zero and get the intercepts and then plot the points
same

19. how many domains can you have pointing to one range?
x math 3 graph
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
As many as you like

20. What type of slope do you have when a line rises from left to right and m>0?
odd
postiive slope
C>1 - horizontal shrinking
negative inverse

21. What is the standard quadratic function?
x^2
(-infinity - +infinity)
(-infinity - +infinity)
Y

22. 4(x-7)=4x-28 is what type of an equation?
Equation of a line
As many as you like
identity
inconsistant

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
parabola - up one and right three
The minimum or maximum 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
math 4 x - graph

24. What are the calculator instructions for the standard cubic function?
f of g and g of f
f(x) = x
zero slope
x math 3 graph

25. What is the domain for an absolute value function?
As equations
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
(-infinity - +infinity)

26. 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.
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
perpendicular line

27. What does the absolute value function look like?
A V
f(x^1)=f(x^2)
parabola
inconsistant

28. What type of line is a constant function?
horizontal
2nd key - x^2 - graph
x math 3 graph
horizontal left

29. What is the range of the constant function?
f(x+c) and f(x-c)
Absolute Value - Constant and Standard Quadratic
The single number y=
45 degree angle

30. What is the domain of a square root function?
Y=x - identity function
[0 -+infinity)
horizontal right
parabola - up one and right three

31. $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
(-infinity - +infinity)
Y
perpendicular line

32. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd
The first set of components of an ordered pair
(-infinity - +infinity)

33. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Piecewise
(-infinity - +infinity)
parabola - up one and right three

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

35. What shape is the standard quadratic function?
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.
parabola
0<c<1 - horizontal stretching
Any set of ordered pairs

36. Of the seven of algebra's common graph's how many are neither?
function notation
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root

37. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Cannot be drawn in quizlet
f(x)=x^3
negative slope
Yes - all the domains points to one range

38. 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
x is the hours to repair the boat. $1603-532=anwser/63 = x
perpendicular line
(-infinity - +infinity)

39. What are two examples of composit functions?
As many as you like
negative inverse
f of g and g of f
Cannot be drawn in quizlet

40. What is the range of the cube root function?
(-infinity - +infinity)
(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
x=a

41. What is another way of writing the absolute value function?
(-infinity - 0]U[0 - +infinity)
f of g and g of f
Y=IxI
(-infinity - +infinity)

42. What is the domain and range of a constant function?
f(x)=x^3
(-infinity - +infinity)
4 -6 -9
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.

43. Which direction does f(x-c) move
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal right
x=a
The minimum or maximum points

44. What are the calculator instructions for the cube root function?
negative slope
f(x) = x
Y= then enter the number then press graph
math 4 x - graph

45. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
negative slope
Equation of a line
undefined

46. What is a relation?
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph
Any set of ordered pairs
parabola

47. What does linear equation mean?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function
Equation of a line
zero slope

48. In an identity function if f(10)=x than what is y?
When does a graph not define y as a function of x?
(-infinity - +infinity)
Y=10
horizontal

49. What is the range for a standard quadratic function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs
even

50. Which direction does f(x)=+c move in standard absolute value formula?
up
Square Root
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal