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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. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
(-infinity - +infinity)
Equation of a line
The secant line

2. What is the domain for an absolute value function?
horizontal right
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)
45 degree angle

3. What are the calculator instructions for a square root function?
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
Y=b
f(x)=x^3

4. Draw or discuss a constant function
Cannot be drawn in quizlet
parraelle line
down
Y=x^2 - graph

5. Is a constant function even - odd or neither?
f of g and g of f
even
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points

6. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
x math 3 graph
even
x^2

7. 4(x-7)=4x+28 is what type of an equation?
inconsitent
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
parabola - up one and right three
Any set of ordered pairs

8. What is the standard quadratic function?
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
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
x^2

9. Is an absolute value function even - odd or neither?
The opposite coordinates
even
Cannot be drawn in quizlet
parabola - up one and right three

10. What does the average rate of change formula solve?
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.
Approach neg toward x through zero and above positive close to x
The slope of a line containing two points
Yes - all the domains points to one range

11. What is the average rate of change formula?
f(x)=x^3
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)
f(x2)-f(x1) / x2-x1

12. What can we substitute for f(x)?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
(-infinity - 0]U[0 - +infinity)
Y

13. What type of line is an identity function?
because the demintor of a quotient can never equal zero
even
45 degree angle
The slope of a line containing two points

14. What are two examples of composit functions?
Yes - all the domains points to one range
Line ascending to the right gradually
Y
f of g and g of f

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
C>1 - horizontal shrinking
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

16. What type of line is a constant function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
inconsitent
horizontal

17. What type of slope do you have when a line rises from left to right and m>0?
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
As many as you like
postiive slope

18. When is the only time (-infinity - +infinity) is not the domain?
parabola - up one and right three
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
in a quotient
horizontal right

19. What does the standard cubic function look like on a graph?
f(x)=+c and f(x)-c
Mirror image neg quadrant to that of the positive quandrant
negative slope
Equation of a line

20. What is the formula for the cube root function?
horizontal right
f(x)=3 square root x
(-infinity - +infinity)
postiive slope

21. What type of slope do you have when a line falls left to right and m<0?
negative slope
Yes - all the domains points to one range
When does a graph not define y as a function of x?
1 -2 -3

22. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph
The second set of components of an ordered pair
Y=b

23. What are the algebra of functions?
(-infinity - +infinity)
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

24. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Square Root
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

25. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations
Y=x^2 - graph

26. Is a standard quadratic function even - odd or neither?
The opposite coordinates
Yes because two x's or domains can point to one y
even
A line passing through two distinct points

27. What is the formula in both horizontal stretching and horizontal shrinking?
only one
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=10
1 -2 -3

28. Why can h not equal zero in the difference of a quotient function formula?
Three odd - cube root - identity - standard cubic
parabola
because the demintor 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

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

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30. What is the range for the standard cubic function?
1 -2 -3
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
The single number y=

31. Of the seven of algebra's common graph's how many are odd?
inconsistant
f(x^1)=f(x^2)
even
Three odd - cube root - identity - standard cubic

32. What is the formula for the standard cubic function?
f(x)=x^3
Approach neg toward x through zero and above positive close to x
x math 3 graph
Cannot be drawn in quizlet

33. what is the letter used to represent slope?
perpendicular line
Approach neg toward x through zero and above positive close to x
m
Any set of ordered pairs

34. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching
parraelle line

35. What is the slope of a perpendicular line?
Square Root
negative inverse
Any set of ordered pairs
(-infinity - +infinity)

36. x=all real numbers is what type of an equation?
(-infinity - +infinity)
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity

37. $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?
postiive 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
f(x)=+c and f(x)-c
When does a graph not define y as a function of x?

38. What type of line is a constant function?
function notation
horizontal
As many as you like
(-infinity - +infinity)

39. Which direction does f(x)=+c move in standard absolute value 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.
math 4 x - graph
up
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. y=f(cx) what does this formula represent?
The single number y=
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
0<c<1 - horizontal stretching

41. How do you calculate a constant function in your calculator?
up
Y= then enter the number then press graph
A line passing through two distinct points
f(x)=+c and f(x)-c

42. Which direction does f(x+c) move
horizontal left
even
20+.05x=5+.10x x=minutes
x2-x1 because the demonaitor of a quotient can never equal zero

43. Two vertical lines side by side are a symbol for what
function notation
When does a graph not define y as a function of x?
The slope of a line containing two points
parraelle line

44. 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
The opposite coordinates
in a quotient
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.

45. Draw or discuss a decreasing function
20+.05x=5+.10x x=minutes
down
inconsistant
Cannot be drawn in quizlet

46. What does linear equation mean?
x math 3 graph
Absolute Value - Constant and Standard Quadratic
x^2
Equation of a line

47. What direction does f(x)-c move in standard absolute value formula?
1 -2 -3
2nd key - x^2 - graph
As many as you like
down

48. Is the square root function odd - even or neither?
neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

49. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
f(x+c) and f(x-c)
f(x)=3 square root x
(-infinity - +infinity)

50. how many ranges can you have for each domain?
only one
Square Root
Any set of ordered pairs
The secant line