Test your basic knowledge |

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. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
Conditional
The opposite coordinates

2. Why can h not equal zero in the difference of a quotient function formula?
down
x^2
no because you cannot have one domain pointing at two y's or ranges
because the demintor of a quotient can never equal zero

3. What are the calculator instructions for a square root function?
2nd catalog (zero key -) abs(x) - graph
identity
identity
2nd key - x^2 - graph

4. Is a constant function even - odd or neither?
in a quotient
negative slope
even
(-infinity - +infinity)

5. What shape is the standard quadratic function?
parabola
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
up
Y

6. In an identity function if f(10)=x than what is y?
Y=10
x^2
The single number y=
Y=x^2 - graph

7. What is the range for a standard quadratic function?
(-infinity - +infinity)
f(x)=+c and f(x)-c
As many as you like
(-infinity - 0]U[0 - +infinity)

8. 4x+5x=8x is what type of an equation?
odd
Conditional
f(x+c) and f(x-c)
x math 3 graph

9. What is the formula for the cube root function?
Piecewise
f(x)=3 square root x
Y=IxI
1 -2 -3

10. What are two examples of composit functions?
(-infinity - +infinity)
perpendicular line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f of g and g of f

11. What is the domain for the standard cubic function?
1 -2 -3
(-infinity - +infinity)
even
Conditional

12. Of the seven of algebra's common graph's how many are even?
odd
Absolute Value - Constant and Standard Quadratic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even

13. What are the algebra of functions?
2nd key - x^2 - graph
even
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x

14. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
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
inconsitent
Y=10

15. What is the range of the cube root function?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
parraelle line
[0 -+infinity)

16. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x is the hours to repair the boat. $1603-532=anwser/63 = x
x = the original sale price and the formula is x - .40x =$276
f(x)=+c and f(x)-c
x math 3 graph

17. What is an identity function?
identity
45 degree angle
down
same

18. What type of slope do you have when the line is horizontal and m=0?
zero slope
postiive slope
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

19. What equation does every line have? Discuss the variables.
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.
inconsitent
The minimum or maximum points
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

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

21. What is the domain for an absolute value function?
undefined
odd
(-infinity - +infinity)
f of g and g of f

22. What are the calculator instructions for the standard cubic function?
Y
postiive slope
x math 3 graph
f(x^1)=f(x^2)

23. 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?
Approach neg toward x through zero and above positive close to x
1 -2 -3
x is the hours to repair the boat. $1603-532=anwser/63 = x
postiive slope

24. 4(x-7)=4x-28 is what type of an equation?
identity
undefined
Y
Three odd - cube root - identity - standard cubic

25. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
Equation of a line
f(x)=x^3
Approach neg toward x through zero and above positive close to x

26. Two vertical lines side by side are a symbol for what
parraelle line
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
postiive slope
[0 -+infinity)

27. What type of line is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
horizontal
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. What are the four steps for solving a linear equation?
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
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.
odd

29. What can we substitute for f(x)?
Y
The single number y=
Equation of a line
Approach neg toward x through zero and above positive close to x

30. x=all real numbers is what type of an equation?
identity
20+.05x=5+.10x x=minutes
The second set of components of an ordered pair
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

31. What is the formula for the square root function?
The secant line
45 degree angle
f(x)=suare root of x
parabola

32. What is a constant function?
function notation
Conditional
f(x^1)=f(x^2)
The slope of a line containing two points

33. What type of slope do vertical lines have?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=IxI
parraelle line
undefined

34. What are the four steps for finding the inverse of a function?
parraelle line
4 -6 -9
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x = the original sale price and the formula is x - .40x =$276

35. how many domains can you have pointing to one range?
The first set of components of an ordered pair
Cannot be drawn in quizlet
As many as you like
1 -2 -3

36. What is the slope of a perpendicular line?
Absolute Value - Constant and Standard Quadratic
negative inverse
2nd key - x^2 - graph
f(x) = x

37. Which direction does f(x+c) move
The second set of components of an ordered pair
horizontal left
Y=x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

38. What points do you use to plot the inverse on a graph?
The opposite coordinates
undefined
f(x)=x^3
inconsitent

39. What is the point slope formula and when do you use it?
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)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

40. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
When does a graph not define y as a function of x?
in a quotient
2nd key - x^2 - graph

41. What is another way of writing the absolute value function?
Y=IxI
Y=10
f(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph

42. What is the range of an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
45 degree angle
inconsitent

43. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - 0]U[0 - +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
f(x)=IxI
Set the x and y to zero and get the intercepts and then plot the points

44. Draw or discuss a decreasing function
The first set of components of an ordered pair
(-infinity - +infinity)
odd
Cannot be drawn in quizlet

45. What is the domain of a square root function?
f(x+c) and f(x-c)
f(x^1)=f(x^2)
Y=x^2 - graph
[0 -+infinity)

46. What are the calculator instructions for absolute value?
(-infinity - +infinity)
undefined
2nd catalog (zero key -) abs(x) - graph
neither

47. What is the formula for to calculate the difference of a quotient 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
f(x+h)-f(x)/h h cannot equal zero
horizontal right
Y=x^2 - graph

48. What is the horizontal line formula?
Y=b
(-infinity - +infinity)
f of g and g of f
(-infinity - 0]U[0 - +infinity)

49. What are the calculator instructions for the cube root function?
math 4 x - graph
identity
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Yes - all the domains points to one range
Y=10
f(x) = x
1 -2 -3