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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. Why can h not equal zero in the difference of a quotient function formula?
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero
x=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

2. What does the average rate of change formula solve?
45 degree angle
The slope of a line containing two points
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

3. Draw or discuss a constant function
perpendicular line
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)

4. y=f(cx) - what does this formula represent?
math 4 x - graph
C>1 - horizontal shrinking
zero slope
20+.05x=5+.10x x=minutes

5. Of the seven of algebra's common graph's how many are neither?
because the demintor of a quotient can never equal zero
horizontal left
Square Root
(-infinity - +infinity)

6. What is the standard quadratic function?
same
x^2
(-infinity - +infinity)
Y=10

7. What type of slope do horizontal lines have?
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
same
Cannot be drawn in quizlet

8. What are the steps for solving a word problem?
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
perpendicular line
A line passing through two distinct points
As many as you like

9. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
f of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x

10. What is the formula in both horizontal stretching and horizontal shrinking?
2nd catalog (zero key -) abs(x) - graph
because the demintor of a quotient can never equal zero
45 degree angle
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. What is the domain for an absolute value function?
The first set of components of an ordered pair
m
Y=x^2 - graph
(-infinity - +infinity)

12. What is the range of the constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=
2nd catalog (zero key -) abs(x) - graph
45 degree angle

13. what can never equal zero in the slope formula and why?
inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x)=3 square root x
x2-x1 because the demonaitor of a quotient can never equal zero

14. $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?
perpendicular line
2nd key - x^2 - graph
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
inconsitent

15. What are the calculator instructions for absolute value?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
parabola
2nd catalog (zero key -) abs(x) - graph

16. What is the range of the cube root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Y= then enter the number then press graph
even

17. What type of slope do you have when a line rises from left to right and m>0?
Conditional
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.
postiive slope
parabola - up one and right three

18. What is the formula for the cube root function?
Mirror image neg quadrant to that of the positive quandrant
same
m
f(x)=3 square root x

19. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
The minimum or maximum points
zero slope
f(x)=+c and f(x)-c

20. What is the slope of a perpendicular line?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
negative inverse
odd
zero slope

21. How do you calculate a constant function in your calculator?
m
Y= then enter the number then press 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.
0<c<1 - horizontal stretching

22. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Yes because two x's or domains can point to one y
even
undefined

23. What is the range for the standard cubic function?
even
A line passing through two distinct points
inconsitent
(-infinity - +infinity)

24. What is an identity function?
A line passing through two distinct points
(-infinity - +infinity)
f of g and g of f
45 degree angle

25. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
perpendicular line
(-infinity - +infinity)

26. Which direction does f(x-c) move
even
postiive slope
(-infinity - 0]U[0 - +infinity)
horizontal right

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

28. What does the square root function look like on a graph?
Yes - all the domains points to one range
The second set of components of an ordered pair
even
Line ascending to the right gradually

29. What is the domain of the cube root function?
(-infinity - +infinity)
zero slope
negative inverse
identity

30. What is the formula for an identity function?
f(x) = x
x = the original sale price and the formula is x - .40x =$276
Absolute Value - Constant and Standard Quadratic
parraelle line

31. What is a constant function?
in a quotient
Cannot be drawn in quizlet
identity
f(x^1)=f(x^2)

32. 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
negative slope
undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

33. When is the only time (-infinity - +infinity) is not the domain?
inconsistant
negative inverse
f(x2)-f(x1) / x2-x1
in a quotient

34. What is the formula for an absolute value function?
f(x)=IxI
C>1 - horizontal shrinking
(-infinity - +infinity)
Y

35. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Y=10
inconsitent
odd

36. What is the formula for the standard cubic function?
because the demintor of a quotient can never equal zero
f(x)=x^3
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x^1)=f(x^2)

37. 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
inconsistant
x = the original sale price and the formula is x - .40x =$276
inconsitent

38. 4x+5x=8x is what type of an equation?
perpendicular line
up
Conditional
45 degree angle

39. A flat line underlining one vertical line is a symbol for
perpendicular line
Y=x - identity function
odd
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

40. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
odd
inconsistant
Yes - all the domains points to one range

41. What are two examples of composit functions?
f(x)=suare root of x
(-infinity - +infinity)
Yes because two x's or domains can point to one y
f of g and g of f

42. What can we substitute for f(x)?
parraelle line
Y= then enter the number then press graph
Y
[0 -+infinity)

43. Is the square root function odd - even or neither?
As equations
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking
neither

44. What type of line is a constant function?
Line ascending to the right gradually
horizontal left
horizontal
2nd catalog (zero key -) abs(x) - graph

45. Is the standard cubic function odd - even or neither?
A line passing through two distinct points
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
f(x)=IxI
odd

46. y=f(cx) what does this formula represent?
x = the original sale price and the formula is x - .40x =$276
horizontal
down
0<c<1 - horizontal stretching

47. Draw or discuss an increasing function
only one
Cannot be drawn in quizlet
Any set of ordered pairs
(-infinity - +infinity)

48. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
inconsistant
f(x)=3 square root x
f(x)=suare root of x

49. What is the vertex?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=suare root of x
f(x)=+c and f(x)-c

50. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
down
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
Equation of a line