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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 vertex?
0<c<1 - horizontal stretching
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=IxI
The minimum or maximum points

2. What is the slope intercept formula? Define all the variables.
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
f(x)=x^3

3. What type of line is a constant function?
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1
Square Root
horizontal

4. What equation does every line have? Discuss the variables.
neither
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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)=IxI

5. What type of slope do you have when a line falls left to right and m<0?
(f+g) - (f-g) - (fg) - (f/g) all of x
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.
Yes - all the domains points to one range
negative slope

6. What is the formula for the standard cubic function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points
f(x)=x^3
postiive slope

7. What is the vertical line test?
Square Root
Y=x^2 - graph
When does a graph not define y as a function of x?
(f+g) - (f-g) - (fg) - (f/g) all of x

8. Standard absolute value - horizontal shift formulas for left and right
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.
Conditional
f(x+c) and f(x-c)
f(x)=x^3

9. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
The opposite coordinates
down
The secant line

10. How do you graph Ax+By+C=0?
horizontal
Set the x and y to zero and get the intercepts and then plot the points
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

11. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
Y=10
f(x)=+c and f(x)-c
x is the hours to repair the boat. $1603-532=anwser/63 = x
only one

12. What are the steps for solving a word problem?
Piecewise
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
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. How would this formula move f(x)=(x+1)^2-3
horizontal
f(x)=+c and f(x)-c
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola - up one and right three

14. What is the domain of the cube root function?
(-infinity - +infinity)
identity
C>1 - horizontal shrinking
Cannot be drawn in quizlet

15. What does linear equation mean?
horizontal right
x2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line
Y

16. What are the calculator instructions for absolute value?
Y
2nd catalog (zero key -) abs(x) - graph
A line passing through two distinct points
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.

17. What is a domain?
Set the x and y to zero and get the intercepts and then plot the points
f(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph

18. A flat line underlining one vertical line is a symbol for
perpendicular line
undefined
When does a graph not define y as a function of x?
x math 3 graph

19. What are two examples of composit functions?
As many as you like
[0 -+infinity)
A V
f of g and g of f

20. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
perpendicular line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=x^3
When does a graph not define y as a function of x?

21. 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
When does a graph not define y as a function of x?
negative inverse
negative slope

22. what is the letter used to represent slope?
parabola - up one and right three
Y= then enter the number then press graph
Y=x^2 - graph
m

23. What does the square root function look like on a 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
Line ascending to the right gradually
postiive slope
neither

24. What is the range of the cube root function?
(-infinity - +infinity)
math 4 x - graph
The second set of components of an ordered pair
horizontal left

25. What direction does f(x)-c move in standard absolute value formula?
[0 -+infinity)
down
(-infinity - +infinity)
The opposite coordinates

26. What is the domain for an absolute value function?
The first set of components of an ordered pair
(-infinity - +infinity)
f(x)=3 square root x
only one

27. What is the formula for to calculate the difference of a quotient function?
C>1 - horizontal shrinking
f(x+h)-f(x)/h h cannot equal zero
no because you cannot have one domain pointing at two y's or ranges
negative inverse

28. What are the calculator instructions for the standard cubic function?
f(x)=IxI
Square Root
Yes because two x's or domains can point to one y
x math 3 graph

29. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
A V
in a quotient

30. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What is a constant function?
f(x^1)=f(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
Set the x and y to zero and get the intercepts and then plot the points
2nd catalog (zero key -) abs(x) - graph

32. Is a standard quadratic function even - odd or neither?
f(x^1)=f(x^2)
x2-x1 because the demonaitor of a quotient can never equal zero
even
0<c<1 - horizontal stretching

33. how many domains can you have pointing to one range?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
As many as you like
m

34. What is the range for the standard cubic function?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
undefined
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. Is an identity function even - odd or neither?
odd
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
up

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

37. Two vertical lines side by side are a symbol for what
parraelle line
even
negative inverse
0<c<1 - horizontal stretching

38. What is the domain for the standard cubic function?
Cannot be drawn in quizlet
parabola
f(x)=x^3
(-infinity - +infinity)

39. How do you calculate a constant function in your calculator?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y= then enter the number then press graph
f(x2)-f(x1) / x2-x1
f(x) = x

40. What type of line is a constant function?
horizontal
f(x)=+c and f(x)-c
math 4 x - graph
(-infinity - +infinity)

41. Is the square root function odd - even or neither?
x2-x1 because the demonaitor of a quotient can never equal zero
neither
even
(-infinity - 0]U[0 - +infinity)

42. x=all real numbers is what type of an equation?
parabola
2nd key - x^2 - graph
identity
horizontal

43. 4(x-7)=4x+28 is what type of an equation?
f(x+c) and f(x-c)
Y
inconsitent
The secant line

44. What is the range of an identity 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
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
Y

45. What is the horizontal line formula?
Y=x - identity function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b
math 4 x - graph

46. x=no real numbers is what type of an equation?
Y= then enter the number then press graph
(-infinity - +infinity)
[0 -+infinity)
inconsistant

47. what is a range?
Absolute Value - Constant and Standard Quadratic
As equations
f of g and g of f
The second set of components of an ordered pair

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Square Root
Yes - all the domains points to one range
even
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

49. What is the vertical line formula?
Set the x and y to zero and get the intercepts and then plot the points
Yes because two x's or domains can point to one y
Change in y / change in x = rise / run = y2-y1 / x2-x1
x=a

50. What is the point slope formula and when do you use it?
f of g and g of f
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points