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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 a domain?
in a quotient
A line passing through two distinct points
The first set of components of an ordered pair
Conditional

2. What is a function?
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.
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
Y= then enter the number then press graph

3. How do you graph Ax+By+C=0?
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

4. What does the absolute value function look like?
Yes because two x's or domains can point to one y
(-infinity - 0]U[0 - +infinity)
45 degree angle
A V

5. how many domains can you have pointing to one range?
perpendicular line
45 degree angle
As many as you like
Square Root

6. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
zero slope
identity
Square Root

7. What is the average rate of change formula?
[0 -+infinity)
f(x2)-f(x1) / x2-x1
Any set of ordered pairs
Y=10

8. f(x) = x^2+3x+5 - what type of formula is this?
parabola
The second set of components of an ordered pair
Square Root
function notation

9. What does the average rate of change formula solve?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
Piecewise

10. What are the calculator instructions for the cube root function?
math 4 x - graph
f(x+h)-f(x)/h h cannot equal zero
zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

11. What is the vertical line formula?
Yes because two x's or domains can point to one y
x=a
Y
up

12. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parabola
Yes because two x's or domains can point to one y
The secant line
Cannot be drawn in quizlet

13. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
because the demintor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What type of slope do horizontal lines have?
same
even
f(x+c) and f(x-c)
The minimum or maximum points

15. how many ranges can you have for each domain?
only one
x=a
Yes because two x's or domains can point to one y
The minimum or maximum points

16. 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
inconsistant
Line ascending to the right gradually
Cannot be drawn in quizlet

17. What is the domain for the standard cubic 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 - +infinity)
even
Y

18. Is an identity function even - odd or neither?
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic

19. $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?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
(-infinity - +infinity)
f(x+c) and f(x-c)

20. What is the domain and range of a constant function?
Square Root
(-infinity - +infinity)
Y=IxI
As equations

21. What is the vertical line test?
(-infinity - +infinity)
When does a graph not define y as a function of x?
As many as you like
negative inverse

22. x=all real numbers is what type of an equation?
As equations
neither
(-infinity - +infinity)
identity

23. x=no real numbers is what type of an equation?
horizontal left
inconsistant
f(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic

24. Which direction does f(x-c) move
horizontal right
Mirror image neg quadrant to that of the positive quandrant
Equation of a line
4 -6 -9

25. Is the square root function odd - even or neither?
f(x+c) and f(x-c)
(-infinity - +infinity)
neither
negative slope

26. What is the standard quadratic function?
x^2
Y=x^2 - graph
(-infinity - +infinity)
negative inverse

27. 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph

28. Which direction does f(x+c) move
horizontal left
Y=x - identity function
x math 3 graph
m

29. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Y=10
20+.05x=5+.10x x=minutes
f(x)=3 square root x

30. What are the calculator instructions for the standard cubic function?
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=
x math 3 graph
Y=IxI

31. 4(x-7)=4x+28 is what type of an equation?
inconsitent
f(x+h)-f(x)/h h cannot 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
As equations

32. Is the standard cubic function odd - even or neither?
4 -6 -9
[0 -+infinity)
odd
Approach neg toward x through zero and above positive close to x

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

34. Standard absolute value - horizontal shift formulas for left and right
perpendicular line
f(x+c) and f(x-c)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

35. What are the steps for solving a word problem?
[0 -+infinity)
identity
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)

36. What is the range for an absolute value function?
Y=10
parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)

37. What does linear equation mean?
The secant line
negative slope
Equation of a line
parraelle line

38. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Yes because two x's or domains can point to one y
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276
1 -2 -3

39. What is a constant function?
f(x^1)=f(x^2)
Y= then enter the number then press graph
x math 3 graph
Three odd - cube root - identity - standard cubic

40. What is the domain of a square root function?
perpendicular line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)
(-infinity - +infinity)

41. What is the range of the constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
inconsitent
The single number y=
x is the hours to repair the boat. $1603-532=anwser/63 = x

42. What shape is the standard quadratic function?
f(x^1)=f(x^2)
(-infinity - +infinity)
parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. Of the seven of algebra's common graph's how many are odd?
Y
Three odd - cube root - identity - standard cubic
even
As many as you like

44. What is the range of the cube root function?
(-infinity - +infinity)
parraelle line
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

45. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
(-infinity - +infinity)
parabola - up one and right three
Yes - all the domains points to one range

46. Is an absolute value function even - odd or neither?
45 degree angle
even
x = the original sale price and the formula is x - .40x =$276
perpendicular line

47. 4(x-7)=4x-28 is what type of an equation?
even
1 -2 -3
math 4 x - graph
identity

48. Is a constant function even - odd or neither?
even
4 -6 -9
same
Cannot be drawn in quizlet

49. In an identity function if f(10)=x than what is y?
2nd catalog (zero key -) abs(x) - graph
Y=10
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x

50. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal left
parraelle line
The minimum or maximum points