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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. x=no real numbers is what type of an equation?
inconsistant
x math 3 graph
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

2. What is a domain?
Y=IxI
The first set of components of an ordered pair
x=a
up

3. What is the range for the standard cubic function?
When does a graph not define y as a function of x?
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
Equation of a line
(-infinity - +infinity)

4. Is a standard quadratic function even - odd or neither?
zero slope
When does a graph not define y as a function of x?
undefined slope
even

5. What are the four steps for solving a linear equation?
x = the original sale price and the formula is x - .40x =$276
Conditional
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.

6. What shape is the standard quadratic function?
Any set of ordered pairs
even
C>1 - horizontal shrinking
parabola

7. Is the standard cubic function odd - even or neither?
odd
parabola
A line passing through two distinct points
When does a graph not define y as a function of x?

8. Is a constant function even - odd or neither?
[0 -+infinity)
x math 3 graph
x = the original sale price and the formula is x - .40x =$276
even

9. Standard absolute value - vertical shift formulas for positve and negative
because the demintor of a quotient can never equal zero
f(x)=+c and f(x)-c
even
(-infinity - +infinity)

10. What is the domain for a standard quadratic function?
function notation
no because you cannot have one domain pointing at two y's or ranges
When does a graph not define y as a function of x?
(-infinity - +infinity)

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f of g and g of f
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y

12. 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
function notation
f(x)=x^3
(-infinity - +infinity)

13. Two vertical lines side by side are a symbol for what
identity
horizontal left
parraelle line
When does a graph not define y as a function of x?

14. what is the formula for slope?
identity
Mirror image neg quadrant to that of the positive quandrant
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
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

16. what is a range?
Equation of a line
Y=b
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The second set of components of an ordered pair

17. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
x math 3 graph

18. Which direction does f(x+c) move
Cannot be drawn in quizlet
The minimum or maximum points
math 4 x - graph
horizontal left

19. What are the four steps for finding the inverse of a function?
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching
only one

20. What direction does f(x)-c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
Y=10
down
x = the original sale price and the formula is x - .40x =$276

21. What is the average rate of change formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

22. What is the range of the constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
math 4 x - graph
The single number y=
Line ascending to the right gradually

23. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
C>1 - horizontal shrinking
(-infinity - +infinity)

24. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)

25. What are the steps for solving a word problem?
The opposite coordinates
horizontal
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)=+c and f(x)-c

26. What is slope?
A line passing through two distinct points
even
The slope of a line containing two points
even

27. 4(x-7)=4x+28 is what type of an equation?
(-infinity - 0]U[0 - +infinity)
inconsitent
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.
math 4 x - graph

28. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
even
parabola - up one and right three

29. What type of line is an identity function?
(-infinity - +infinity)
C>1 - horizontal shrinking
45 degree angle
(-infinity - +infinity)

30. What are two examples of composit functions?
Y=b
f of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x
even

31. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x
even
As many as you like

32. What is the horizontal line formula?
Set the x and y to zero and get the intercepts and then plot the points
Y=b
The secant line
(-infinity - +infinity)

33. f(x) = x^2+3x+5 - what type of formula is this?
function notation
negative inverse
45 degree angle
identity

34. What is the formula for the standard cubic function?
f(x)=x^3
m
f(x^1)=f(x^2)
Absolute Value - Constant and Standard Quadratic

35. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
in a quotient
even
(-infinity - +infinity)

36. What does the average rate of change formula solve?
x^2
Three odd - cube root - identity - standard cubic
The slope of a line containing two points
Yes because two x's or domains can point to one y

37. What type of slope do you have when m=? and the line is vertical?
undefined slope
[0 -+infinity)
x^2
Y=x - identity function

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

39. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
postiive slope
Y=10
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.

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

41. Draw or discuss a decreasing 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
Y= then enter the number then press graph
parabola - up one and right three
Cannot be drawn in quizlet

42. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y

43. What type of line is a constant function?
horizontal
(-infinity - 0]U[0 - +infinity)
(-infinity - 0]U[0 - +infinity)
The opposite coordinates

44. What are the algebra of functions?
in a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Y= then enter the number then press graph

45. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
The opposite coordinates
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

46. What is the domain and range of a constant function?
horizontal
(-infinity - +infinity)
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

47. What is the range for an absolute value function?
The opposite coordinates
Y=10
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

48. What is the standard quadratic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
negative slope
x^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. Draw or discuss an increasing function
The single number y=
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)
Y=x - identity function

50. What are the calculator instructions for the cube root function?
math 4 x - graph
Conditional
inconsitent
(-infinity - +infinity)