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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Conditional
neither
f(x) = x

2. what is a range?
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
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 - +infinity)
The second set of components of an ordered pair

3. x=no real numbers is what type of an equation?
in a quotient
(-infinity - +infinity)
inconsistant
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.

4. Draw or discuss a decreasing function
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
f(x)=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x

5. What is the vertical line formula?
(-infinity - +infinity)
Conditional
x=a
1 -2 -3

6. x=all real numbers is what type of an equation?
Square Root
identity
Equation of a line
(-infinity - +infinity)

7. What is the slope intercept formula? Define all the variables.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
math 4 x - graph

8. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
Absolute Value - Constant and Standard Quadratic
f of g and g of f

9. What are the four steps for finding the inverse of a function?
horizontal right
negative inverse
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x

10. What is the domain of the cube root function?
45 degree angle
Line ascending to the right gradually
same
(-infinity - +infinity)

11. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
(-infinity - +infinity)
The slope of a line containing two points

12. What can we substitute for f(x)?
Y=b
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair
Y

13. x= a real number is what type of equation?
45 degree angle
Conditional
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant

14. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x^1)=f(x^2)
(-infinity - +infinity)
Yes - all the domains points to one range
no because you cannot have one domain pointing at two y's or ranges

15. Of the seven of algebra's common graph's how many are odd?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
f(x+h)-f(x)/h h cannot equal zero

16. What are the four steps for solving a linear equation?
The minimum or maximum points
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
f(x)=x^3
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.

17. 4x+5x=8x is what type of an equation?
Conditional
same
45 degree angle
horizontal left

18. What is the range of the cube root function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
even
The second set of components of an ordered pair

19. What is the formula for an identity function?
parabola
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
Piecewise
f(x) = x

20. what is the letter used to represent slope?
m
f(x)=+c and f(x)-c
The second set of components of an ordered pair
Line ascending to the right gradually

21. What is a domain?
Conditional
The first set of components of an ordered pair
negative inverse
zero slope

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

23. What is the slope of a perpendicular line?
negative inverse
(-infinity - +infinity)
0<c<1 - horizontal stretching
math 4 x - graph

24. Draw or discuss an increasing function
because the demintor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
The second set of components of an ordered pair

25. $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
down
math 4 x - graph
(-infinity - +infinity)

26. What type of slope do you have when a line falls left to right and m<0?
f(x) = x
negative slope
Y
Any set of ordered pairs

27. What is the formula for the square root function?
neither
f(x)=suare root of x
m
odd

28. What is the formula for an absolute value function?
in a quotient
f(x)=IxI
[0 -+infinity)
(-infinity - +infinity)

29. Which direction does f(x-c) move
horizontal right
As equations
even
up

30. how many ranges can you have for each domain?
A V
only one
inconsitent
parraelle line

31. What is the range for the standard cubic function?
(-infinity - +infinity)
undefined
neither
Cannot be drawn in quizlet

32. What is a function?
negative inverse
inconsitent
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=3 square root x

33. What is the range for a standard quadratic function?
The second set of components of an ordered pair
parabola - up one and right three
m
(-infinity - 0]U[0 - +infinity)

34. Two vertical lines side by side are a symbol for what
Absolute Value - Constant and Standard Quadratic
Piecewise
parraelle line
(-infinity - +infinity)

35. What does the average rate of change formula solve?
because the demintor of a quotient can never equal zero
The secant line
parraelle line
The slope of a line containing two points

36. How would this formula move f(x)=(x+1)^2-3
2nd key - x^2 - graph
identity
parabola - up one and right three
Y

37. What does the standard cubic function look like on a graph?
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

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
postiive slope
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 - 0]U[0 - +infinity)

39. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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.
Y=x - identity function
A line passing through two distinct points
4 -6 -9

40. Which direction does f(x+c) move
horizontal left
f(x)=3 square root x
odd
horizontal right

41. What type of line is a constant function?
Conditional
horizontal
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
Y=10

42. What is the domain for the standard cubic function?
Approach neg toward x through zero and above positive close to x
f(x)=x^3
(-infinity - +infinity)
Square Root

43. What type of line is a constant function?
horizontal
45 degree angle
[0 -+infinity)
even

44. What is the vertical line test?
When does a graph not define y as a function of x?
[0 -+infinity)
(-infinity - 0]U[0 - +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.

45. What direction does f(x)-c move in standard absolute value formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
x math 3 graph
down
zero slope

46. What is the range of the constant function?
As equations
The single number y=
f of g and g of f
undefined

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

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48. Is a constant function even - odd or neither?
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.
down
(-infinity - +infinity)
even

49. What points do you use to plot the inverse on a graph?
Yes - all the domains points to one range
The opposite coordinates
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero

50. how many domains can you have pointing to one range?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x
As many as you like
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.

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CLEP College Algebra: Functions

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