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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 can never equal zero in the slope formula and why?
The first set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Y=x - identity function

2. What is the domain of a square root function?
As many as you like
0<c<1 - horizontal stretching
f(x)=suare root of x
[0 -+infinity)

3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
The minimum or maximum points
Yes - all the domains points to one range
Cannot be drawn in quizlet
Conditional

4. What type of line is a constant function?
x2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal
x math 3 graph

5. What is the formula in both horizontal stretching and horizontal shrinking?
identity
A line passing through two distinct points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Set the x and y to zero and get the intercepts and then plot the points

6. What type of slope do you have when m=? and the line is vertical?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. What are the calculator instructions for the standard cubic function?
45 degree angle
x math 3 graph
Three odd - cube root - identity - standard cubic
x2-x1 because the demonaitor of a quotient can never equal zero

8. What is the point slope formula and when do you use it?
function notation
Yes - all the domains points to one range
identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
4 -6 -9
Absolute Value - Constant and Standard Quadratic
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

10. What does linear equation mean?
(-infinity - +infinity)
parabola
Equation of a line
(-infinity - +infinity)

11. Standard absolute value - horizontal shift formulas for left and right
identity
f(x+c) and f(x-c)
0<c<1 - horizontal stretching
The second set of components of an ordered pair

12. What are the four steps for solving a linear equation?
Cannot be drawn in quizlet
odd
in a quotient
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.

13. What is the domain for a standard quadratic function?
Conditional
As equations
(-infinity - +infinity)
in a quotient

14. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - +infinity)
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.
f(x)=3 square root x

15. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Square Root
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet

16. what is the letter used to represent slope?
function notation
The minimum or maximum points
m
The first set of components of an ordered pair

17. x=no real numbers is what type of an equation?
math 4 x - graph
inconsistant
(-infinity - +infinity)
Line ascending to the right gradually

18. A flat line underlining one vertical line is a symbol for
[0 -+infinity)
(-infinity - +infinity)
perpendicular line
20+.05x=5+.10x x=minutes

19. What is the range of the cube root function?
f(x)=suare root of x
undefined slope
(-infinity - +infinity)
horizontal left

20. What can we substitute for f(x)?
only one
Y
odd
(-infinity - +infinity)

21. What is slope?
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
m

22. 4(x-7)=4x-28 is what type of an equation?
Square Root
identity
0<c<1 - horizontal stretching
A V

23. Is a constant function even - odd or neither?
Square Root
Cannot be drawn in quizlet
even
Conditional

24. What is the slope intercept formula? Define all the variables.
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair
(-infinity - +infinity)

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?
(-infinity - +infinity)
f of g and g of f
x=a
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

26. x=all real numbers is what type of an equation?
f(x)=3 square root x
f of g and g of f
identity
x = the original sale price and the formula is x - .40x =$276

27. What is the slope of a perpendicular line?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
inconsitent
negative inverse

28. What is a relation?
math 4 x - graph
Any set of ordered pairs
A V
even

29. What direction does f(x)-c move in standard absolute value formula?
x=a
f(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
down

30. What does the average rate of change formula solve?
because the demintor of a quotient can never equal zero
parabola - up one and right three
The slope of a line containing two points
in a quotient

31. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
inconsistant
4 -6 -9
horizontal
f(x^1)=f(x^2)

32. Is a standard quadratic function even - odd or neither?
45 degree angle
0<c<1 - horizontal stretching
even
Cannot be drawn in quizlet

33. x= a real number is what type of equation?
Conditional
only one
As equations
A line passing through two distinct points

34. Of the seven of algebra's common graph's how many are odd?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
x^2
only one

35. What is the vertical line formula?
x=a
As many as you like
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
The first set of components of an ordered pair

36. What does the standard cubic function look like on a graph?
math 4 x - graph
Mirror image neg quadrant to that of the positive quandrant
horizontal left
because the demintor of a quotient can never equal zero

37. Is the standard cubic function odd - even or neither?
identity
C>1 - horizontal shrinking
45 degree angle
odd

38. What are the steps for solving a word problem?
f(x2)-f(x1) / x2-x1
Three odd - cube root - identity - standard cubic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

39. What is the vertical line test?
odd
When does a graph not define y as a function of x?
m
odd

40. What is the range of a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
As many as you like
undefined

41. What are the calculator instructions for the cube root function?
horizontal right
math 4 x - graph
identity
Set the x and y to zero and get the intercepts and then plot the points

42. How are functions normally written?
Y=10
As equations
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
The single number y=

43. What is the formula for to calculate the difference of a quotient function?
45 degree angle
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
As many as you like

44. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
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
function notation

45. How do you graph Ax+By+C=0?
Y=b
Set the x and y to zero and get the intercepts and then plot the points
even
4 -6 -9

46. What are the algebra of functions?
Y
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

47. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
same

48. What is the domain of an identity function?
f(x)=x^3
horizontal right
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

49. 4(x-7)=4x+28 is what type of an equation?
f(x+h)-f(x)/h h cannot equal zero
parabola
inconsitent
in a quotient

50. Draw or discuss an increasing function
Cannot be drawn in quizlet
horizontal
undefined slope
Three odd - cube root - identity - standard cubic