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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 an absolute value function?
Cannot be drawn in quizlet
f(x)=suare root of x
f(x)=IxI
f(x2)-f(x1) / x2-x1

2. 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.
parabola
f(x+h)-f(x)/h h cannot equal zero
The opposite coordinates

3. What is the domain for the standard cubic function?
Yes because two x's or domains can point to one y
identity
(-infinity - +infinity)
Y=x^2 - graph

4. How would this formula move f(x)=(x+1)^2-3
x = the original sale price and the formula is x - .40x =$276
horizontal right
Piecewise
parabola - up one and right three

5. What are the calculator instructions for absolute value?
Yes because two x's or domains can point to one y
Equation of a line
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph

6. What type of line is an identity function?
45 degree angle
When does a graph not define y as a function of x?
1 -2 -3
The slope of a line containing two points

7. What are the calculator instructions for the cube root function?
When does a graph not define y as a function of x?
math 4 x - graph
horizontal
(-infinity - +infinity)

8. How are functions normally written?
horizontal right
(-infinity - +infinity)
As equations
(-infinity - +infinity)

9. What is the range for a standard quadratic function?
even
undefined slope
(-infinity - 0]U[0 - +infinity)
f(x2)-f(x1) / x2-x1

10. What type of slope do you have when a line rises from left to right and m>0?
parabola - up one and right three
(-infinity - +infinity)
postiive slope
[0 -+infinity)

11. What is the range of the cube root function?
The second set of components of an ordered pair
(-infinity - +infinity)
f(x)=suare root of x
A line passing through two distinct points

12. What is the slope of a perpendicular line?
f(x) = x
negative inverse
even
The opposite coordinates

13. What is the domain for an absolute value function?
Y=IxI
f(x^1)=f(x^2)
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

14. What is the formula for the standard cubic function?
f(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=x^3

15. 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
neither
Conditional

16. What is the domain of the cube root function?
(-infinity - +infinity)
function notation
even
inconsistant

17. What is a constant function?
even
Conditional
f(x^1)=f(x^2)
f(x) = x

18. What are the calculator instructions for the standard cubic function?
[0 -+infinity)
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x math 3 graph

19. 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
4 -6 -9
f(x2)-f(x1) / x2-x1
f(x^1)=f(x^2)

20. What does the square root function look like on a graph?
Line ascending to the right gradually
f(x)=suare root of x
Y=b
(-infinity - +infinity)

21. What is the horizontal line formula?
because the demintor of a quotient can never equal zero
x math 3 graph
math 4 x - graph
Y=b

22. What shape is the standard quadratic function?
Y= then enter the number then press graph
f(x+c) and f(x-c)
parabola
Y=x^2 - graph

23. What are the calculator instructions for a standard quadratic equation?
Y= then enter the number then press graph
The first set of components of an ordered pair
0<c<1 - horizontal stretching
Y=x^2 - graph

24. What is the formula for an identity function?
0<c<1 - horizontal stretching
negative inverse
no because you cannot have one domain pointing at two y's or ranges
f(x) = x

25. What is the formula for to calculate the difference of a quotient function?
Piecewise
f(x+h)-f(x)/h h cannot equal zero
When does a graph not define y as a function of x?
x is the hours to repair the boat. $1603-532=anwser/63 = x

26. What can we substitute for f(x)?
identity
Y
Yes - all the domains points to one range
f(x)=x^3

27. What is the vertical line test?
45 degree angle
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
same

28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
As equations
A V
(-infinity - +infinity)

29. What are two examples of composit functions?
Y=x^2 - graph
zero slope
parraelle line
f of g and g of f

30. What is the formula for the cube root function?
As many as you like
f(x)=3 square root x
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes

31. What is the standard quadratic function?
f(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
math 4 x - graph
x^2

32. What type of slope do you have when the line is horizontal and m=0?
zero slope
perpendicular line
Approach neg toward x through zero and above positive close to x
x math 3 graph

33. What is the range for an absolute value function?
math 4 x - graph
parabola
(-infinity - 0]U[0 - +infinity)
x = the original sale price and the formula is x - .40x =$276

34. Is a standard quadratic function even - odd or neither?
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
even
Set the x and y to zero and get the intercepts and then plot the points

35. $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?
C>1 - horizontal shrinking
(-infinity - +infinity)
(-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

36. What is the slope intercept formula? Define all the variables.
C>1 - horizontal shrinking
Y=x - identity function
The first set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
f(x^1)=f(x^2)
f(x+c) and f(x-c)

38. What points do you use to plot the inverse on a graph?
The opposite coordinates
The single number y=
Yes - all the domains points to one range
f(x) = x

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

40. What is the point slope formula and when do you use it?
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The secant line
A V

41. What type of slope do you have when a line falls left to right and m<0?
negative slope
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
in a quotient

42. In an identity function if f(10)=x than what is y?
Y=10
f(x^1)=f(x^2)
[0 -+infinity)
4 -6 -9

43. Of the seven of algebra's common graph's how many are even?
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
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic

44. What is the range of a square root function?
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. What is the domain for a standard quadratic function?
f(x+h)-f(x)/h h cannot equal zero
45 degree angle
(-infinity - +infinity)
When does a graph not define y as a function of x?

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

47. What is slope?
f(x2)-f(x1) / x2-x1
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

48. how many domains can you have pointing to one range?
(-infinity - +infinity)
same
As many as you like
Conditional

49. What is the domain and range of a constant function?
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
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.
(-infinity - +infinity)
A line passing through two distinct points

50. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+c) and f(x-c)
neither
(-infinity - +infinity)