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. What is the range of the constant function?
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Mirror image neg quadrant to that of the positive quandrant
f of g and g of f

2. What is the horizontal line formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=b

3. Which direction does f(x+c) move
horizontal left
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points

4. What is the formula for the cube root function?
even
f(x)=3 square root x
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)

5. Is an identity function even - odd or neither?
Square Root
(-infinity - 0]U[0 - +infinity)
in a quotient
odd

6. Why can h not equal zero in the difference of a quotient function formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
same
because the demintor of a quotient can never equal zero

7. What shape is the standard quadratic function?
parabola
x math 3 graph
2nd key - x^2 - graph
As many as you like

8. What is the domain of the cube root function?
f(x) = x
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola - up one and right three
(-infinity - +infinity)

9. x= a real number is what type of equation?
(-infinity - +infinity)
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even

10. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
f(x^1)=f(x^2)
The secant line
f(x)=IxI

11. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic
(-infinity - 0]U[0 - +infinity)
up

12. What are the calculator instructions for the cube root function?
The secant 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
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
math 4 x - graph

13. How do you graph Ax+By+C=0?
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
Piecewise
4 -6 -9

14. What type of line is a constant function?
(-infinity - +infinity)
The single number y=
20+.05x=5+.10x x=minutes
horizontal

15. What can we substitute for f(x)?
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
Mirror image neg quadrant to that of the positive quandrant
Y

16. Draw or discuss a constant function
f(x)=x^3
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

17. What is another way to write f(x)=x - what type of function is this?
The minimum or maximum points
f(x2)-f(x1) / x2-x1
Y=x - identity function
When does a graph not define y as a function of x?

18. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
down
45 degree angle
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

19. Of the seven of algebra's common graph's how many are even?
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
Conditional
Absolute Value - Constant and Standard Quadratic

20. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
(-infinity - 0]U[0 - +infinity)
same

21. What are the four steps for solving a linear equation?
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.
4 -6 -9
parraelle line
2nd catalog (zero key -) abs(x) - graph

22. What is the formula for the standard cubic function?
Equation of a line
zero slope
inconsitent
f(x)=x^3

23. What equation does every line have? Discuss the variables.
Y= then enter the number then press graph
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.
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

24. What does the absolute value function look like?
odd
Set the x and y to zero and get the intercepts and then plot the points
A V
odd

25. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
(-infinity - +infinity)
Yes - all the domains points to one range
Line ascending to the right gradually

26. What is the range for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
odd
x^2

27. Of the seven of algebra's common graph's how many are neither?
Square Root
inconsitent
0<c<1 - horizontal stretching
Cannot be drawn in quizlet

28. how many ranges can you have for each domain?
Y= then enter the number then press graph
only one
horizontal
Three odd - cube root - identity - standard cubic

29. What is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
f(x^1)=f(x^2)
Piecewise

30. What is a relation?
Any set of ordered pairs
undefined slope
f(x)=+c and f(x)-c
f(x)=3 square root x

31. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
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.
down
even

32. What type of slope do horizontal lines have?
inconsistant
When does a graph not define y as a function of x?
undefined
same

33. What is slope?
x2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

34. Draw or discuss an increasing function
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
horizontal
because the demintor of a quotient can never equal zero

35. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Piecewise
20+.05x=5+.10x x=minutes
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
parraelle line

36. Is a constant function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
f(x2)-f(x1) / x2-x1
f of g and g of f
even

37. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal
horizontal
x = the original sale price and the formula is x - .40x =$276

38. What is the formula for the square root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x) = x
f(x)=suare root of x
perpendicular line

39. What type of slope do you have when the line is horizontal and m=0?
odd
4 -6 -9
zero slope
undefined

40. 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
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x) = x
Line ascending to the right gradually

41. What is the range for an absolute value function?
When does a graph not define y as a function of x?
Y=x - identity function
(-infinity - 0]U[0 - +infinity)
inconsistant

42. What is a domain?
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
The first set of components of an ordered pair
x=a

43. What is an identity function?
horizontal
(-infinity - +infinity)
(-infinity - +infinity)
45 degree angle

44. What is the domain and range of a constant function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
The secant line
down

45. What does the square root function look like on a graph?
Line ascending to the right gradually
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity
(-infinity - +infinity)

46. Two vertical lines side by side are a symbol for what
parraelle line
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.
Cannot be drawn in quizlet
Line ascending to the right gradually

47. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
Y
As many as you like
The opposite coordinates

48. How are functions normally written?
As equations
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points

49. In an identity function if f(10)=x than what is y?
Y=10
parabola
Set the x and y to zero and get the intercepts and then plot the points
Y

50. 4x+5x=8x is what type of an equation?
only one
Conditional
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
undefined