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Test your basic knowledge |

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 point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs

2. f(x) = x^2+3x+5 - what type of formula is this?
function notation
parabola
Cannot be drawn in quizlet
Y=IxI

3. What are the algebra of functions?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x

4. What is the vertex?
The minimum or maximum points
Line ascending to the right gradually
f(x) = x
(-infinity - +infinity)

5. What equation does every line have? Discuss the variables.
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal
Piecewise
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.

6. What is the domain of the cube root function?
f(x) = x
The opposite coordinates
(-infinity - +infinity)
Yes - all the domains points to one range

7. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
The single number y=
Yes - all the domains points to one range
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

8. What is an identity function?
Y
45 degree angle
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph

9. Is an absolute value function even - odd or neither?
f(x)=3 square root x
x is the hours to repair the boat. $1603-532=anwser/63 = x
even
1 -2 -3

10. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
x^2
(-infinity - +infinity)
postiive 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

11. What are the calculator instructions for a square root function?
Y
odd
2nd key - x^2 - graph
The slope of a line containing two points

12. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
horizontal left
2nd key - x^2 - graph
identity

13. What is the range of a square root function?
Y=IxI
[0 -+infinity)
Y=10
only one

14. What is the slope of a perpendicular line?
A V
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+g) - (f-g) - (fg) - (f/g) all of x
negative inverse

15. What type of line is an identity function?
45 degree angle
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line

16. 4(x-7)=4x-28 is what type of an equation?
identity
no because you cannot have one domain pointing at two y's or ranges
even
(-infinity - +infinity)

17. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
horizontal right
Mirror image neg quadrant to that of the positive quandrant
4 -6 -9
x math 3 graph

18. Is the standard cubic function odd - even or neither?
odd
postiive slope
because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x

19. Is an identity function even - odd or neither?
odd
inconsitent
(-infinity - +infinity)
horizontal

20. What type of slope do vertical lines have?
undefined
1 -2 -3
parraelle line
m

21. What is the vertical line formula?
f(x)=3 square root x
undefined
Set the x and y to zero and get the intercepts and then plot the points
x=a

22. Is a constant function even - odd or neither?
A line passing through two distinct points
parabola
Y
even

23. What are two examples of composit functions?
f(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
(f+g) - (f-g) - (fg) - (f/g) all of x
f of g and g of f

24. What is the vertical line test?
When does a graph not define y as a function of x?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x - identity function
parraelle line

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

26. What does linear equation mean?
parraelle line
Cannot be drawn in quizlet
C>1 - horizontal shrinking
Equation of a line

27. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Change in y / change in x = rise / run = y2-y1 / x2-x1
x = the original sale price and the formula is x - .40x =$276
perpendicular line

28. In an identity function if f(10)=x than what is y?
horizontal left
2nd catalog (zero key -) abs(x) - graph
Y=10
Line ascending to the right gradually

29. How are functions normally written?
Absolute Value - Constant and Standard Quadratic
As equations
in a quotient
f(x+c) and f(x-c)

30. What is the slope intercept formula? Define all the variables.
45 degree angle
inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
up

31. Which direction does f(x)=+c move in standard absolute value formula?
up
45 degree angle
f(x)=3 square root x
f(x^1)=f(x^2)

32. What points do you use to plot the inverse on a graph?
As equations
postiive slope
The slope of a line containing two points
The opposite coordinates

33. What is the formula for the cube root function?
(-infinity - +infinity)
f(x)=+c and f(x)-c
f(x)=3 square root x
odd

34. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
x math 3 graph
Y=IxI
even

35. When is the only time (-infinity - +infinity) is not the domain?
function notation
negative slope
(-infinity - 0]U[0 - +infinity)
in a quotient

36. What type of slope do you have when a line falls left to right and m<0?
Any set of ordered pairs
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.
up
negative slope

37. What is the range for the standard cubic function?
Square Root
(-infinity - +infinity)
zero slope
f(x)=+c and f(x)-c

38. What shape is the standard quadratic function?
parabola
f(x^1)=f(x^2)
horizontal left
negative slope

39. What type of slope do you have when m=? and the line is vertical?
The minimum or maximum points
undefined slope
20+.05x=5+.10x x=minutes
f(x)=+c and f(x)-c

40. What does the average rate of change formula solve?
The slope of a line containing two points
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)
Yes - all the domains points to one range

41. What is the domain and range of a constant function?
45 degree angle
x = the original sale price and the formula is x - .40x =$276
f of g and g of f
(-infinity - +infinity)

42. what can never equal zero in the slope formula and why?
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.
x2-x1 because the demonaitor of a quotient can never equal zero
Conditional
45 degree angle

43. What are the four steps for solving a linear equation?
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.
horizontal
zero slope
x=a

44. What type of slope do horizontal lines have?
(-infinity - +infinity)
Y
A line passing through two distinct points
same

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

46. x=no real numbers is what type of an equation?
Three odd - cube root - identity - standard cubic
inconsistant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.

47. What is a domain?
even
x=a
Y=b
The first set of components of an ordered pair

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Equation of a line
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges

49. What is a constant function?
f(x^1)=f(x^2)
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
Approach neg toward x through zero and above positive close to x
neither

50. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
x = the original sale price and the formula is x - .40x =$276
2nd key - x^2 - graph
Y=10