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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 slope?
Absolute Value - Constant and Standard Quadratic
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

2. What is a function?
4 -6 -9
Square Root
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x math 3 graph

3. how many ranges can you have for each domain?
only one
The secant line
45 degree angle
Cannot be drawn in quizlet

4. What is the range of the constant function?
up
f(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually
The single number y=

5. What does linear equation mean?
parabola - up one and right three
horizontal
Y=x - identity function
Equation of a line

6. What is the vertical line formula?
horizontal right
even
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
x=a

7. What are the steps for solving a word problem?
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)
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
(-infinity - +infinity)

8. What is the line called that illustrates the straight line between the two points when showing average rate of change?
zero slope
The secant line
[0 -+infinity)
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

9. How would this formula move f(x)=(x+1)^2-3
same
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three

10. When is the only time (-infinity - +infinity) is not the domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
When does a graph not define y as a function of x?
in a quotient

11. What type of slope do you have when a line falls left to right and m<0?
negative slope
x math 3 graph
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points

12. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
no because you cannot have one domain pointing at two y's or ranges
4 -6 -9
parabola
Yes - all the domains points to one range

13. What are the calculator instructions for the cube root function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x is the hours to repair the boat. $1603-532=anwser/63 = x
math 4 x - graph
x = the original sale price and the formula is x - .40x =$276

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

15. What is the formula for the cube root function?
horizontal
f(x)=3 square root x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parabola

16. Of the seven of algebra's common graph's how many are even?
x^2
The minimum or maximum points
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic

17. Of the seven of algebra's common graph's how many are neither?
0<c<1 - horizontal stretching
Square Root
(-infinity - 0]U[0 - +infinity)
A V

18. what is the letter used to represent slope?
m
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.
function notation
1 -2 -3

19. x= a real number is what type of equation?
f(x)=+c and f(x)-c
Conditional
Y=x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x

20. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=+c and f(x)-c
function notation
odd
Mirror image neg quadrant to that of the positive quandrant

21. What is the range of a square root function?
(-infinity - 0]U[0 - +infinity)
neither
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)

22. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
perpendicular line
f(x)=IxI
inconsistant

23. What is the average rate of change formula?
[0 -+infinity)
f(x2)-f(x1) / x2-x1
parabola
horizontal

24. What type of line is a constant function?
Conditional
horizontal
f(x^1)=f(x^2)
Conditional

25. What is a constant function?
f(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs
f(x^1)=f(x^2)
Y

26. Is the square root function odd - even or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
neither
0<c<1 - horizontal stretching
(-infinity - +infinity)

27. What shape is the standard quadratic function?
f(x+h)-f(x)/h h cannot equal zero
parabola
perpendicular line
(-infinity - +infinity)

28. How are functions normally written?
Set the x and y to zero and get the intercepts and then plot the points
As equations
[0 -+infinity)
(-infinity - +infinity)

29. $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?
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.
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
undefined 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

30. Is an identity function even - odd or neither?
odd
f(x) = x
C>1 - horizontal shrinking
Y=10

31. Standard absolute value - vertical shift formulas for positve and negative
horizontal
The slope of a line containing two points
[0 -+infinity)
f(x)=+c and f(x)-c

32. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
The minimum or maximum points
The opposite coordinates

33. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
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
x = the original sale price and the formula is x - .40x =$276

34. What are the four steps for finding the inverse of a function?
When does a graph not define y as a function of x?
x math 3 graph
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

35. In an identity function if f(10)=x than what is y?
Y=10
f(x2)-f(x1) / x2-x1
1 -2 -3
x is the hours to repair the boat. $1603-532=anwser/63 = x

36. Is the standard cubic function odd - even or neither?
[0 -+infinity)
odd
Y=b
The secant line

37. What type of slope do vertical lines have?
inconsistant
x=a
undefined
odd

38. What is a domain?
Three odd - cube root - identity - standard cubic
The slope of a line containing two points
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes

39. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

40. x=all real numbers is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x math 3 graph
identity
because the demintor of a quotient can never equal zero

41. What type of slope do horizontal lines have?
same
Y= then enter the number then press graph
Cannot be drawn in quizlet
4 -6 -9

42. What type of slope do you have when m=? and the line is vertical?
undefined slope
Square Root
parabola - up one and right three
f(x)=suare root of x

43. what is a range?
The second set of components of an ordered pair
f(x)=suare root of x
[0 -+infinity)
(-infinity - +infinity)

44. Which direction does f(x-c) move
horizontal right
Approach neg toward x through zero and above positive close to x
neither
odd

45. What is the formula for the standard cubic function?
f(x)=x^3
Y=10
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
in a quotient

46. What is the range of the cube root function?
Any set of ordered pairs
Y=x^2 - graph
(-infinity - +infinity)
2nd key - x^2 - graph

47. What is a relation?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x math 3 graph
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.
Any set of ordered pairs

48. y=f(cx) what does this formula represent?
As many as you like
neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
0<c<1 - horizontal stretching

49. What is the formula for an absolute value function?
f(x)=IxI
f(x)=3 square root x
Y=10
even

50. What are the calculator instructions for the standard cubic function?
x math 3 graph
Y=x^2 - graph
even
identity