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 can we substitute for f(x)?
Y
Equation of a line
Any set of ordered pairs
f(x)=x^3

2. What is the range of an identity 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
parabola - up one and right three
The minimum or maximum points
(-infinity - +infinity)

3. Is the standard cubic function odd - even or neither?
Cannot be drawn in quizlet
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
odd
same

4. y=f(cx) - what does this formula represent?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd
C>1 - horizontal shrinking
because the demintor of a quotient can never equal zero

5. Is an absolute value function even - odd or neither?
x=a
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
horizontal
even

6. What is a domain?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The first set of components of an ordered pair
perpendicular line
f(x) = x

7. What are the algebra of functions?
in a quotient
x = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

8. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
f(x+c) and f(x-c)
x math 3 graph
identity

9. 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?
even
because the demintor of a quotient can never equal zero
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 hours to repair the boat. $1603-532=anwser/63 = x

10. How do you calculate a constant function in your calculator?
The opposite coordinates
Y=x^2 - graph
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
f(x)=3 square root x
identity
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)

12. 4(x-7)=4x+28 is what type of an equation?
As many as you like
The second set of components of an ordered pair
inconsitent
Line ascending to the right gradually

13. Is a standard quadratic function even - odd or neither?
Y=x - identity function
even
2nd key - x^2 - graph
up

14. Standard absolute value - horizontal shift formulas for left and right
zero slope
(-infinity - +infinity)
undefined slope
f(x+c) and f(x-c)

15. Draw or discuss a constant function
inconsistant
horizontal right
f(x)=IxI
Cannot be drawn in quizlet

16. What is the range for a standard quadratic 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
m
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

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
neither
odd
(-infinity - +infinity)

18. How are functions normally written?
f(x^1)=f(x^2)
x^2
As equations
even

19. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+c) and f(x-c)
negative inverse
The slope of a line containing two points

20. What equation does every line have? Discuss the variables.
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
zero slope
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.

21. What is another way of writing the absolute value function?
Y=IxI
horizontal
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=10

22. Of the seven of algebra's common graph's how many are odd?
Approach neg toward x through zero and above positive close to x
negative slope
Three odd - cube root - identity - standard cubic
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.

23. What type of function would you use to calculate the most advantageous cell phone plan?
because the demintor of a quotient can never equal zero
Piecewise
Cannot be drawn in quizlet
inconsistant

24. What are the calculator instructions for a standard quadratic equation?
only one
parabola
f(x)=x^3
Y=x^2 - graph

25. What is the domain for a standard quadratic function?
(-infinity - +infinity)
[0 -+infinity)
20+.05x=5+.10x x=minutes
inconsitent

26. What does the absolute value function look like?
Y= then enter the number then press graph
A V
A line passing through two distinct points
f(x) = x

27. What is the formula for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
Y=x - identity function
f(x)=IxI

28. What is the standard quadratic function?
x2-x1 because the demonaitor of a quotient can never equal zero
x^2
horizontal right
inconsitent

29. Which direction does f(x)=+c move in standard absolute value formula?
x math 3 graph
x=a
(-infinity - 0]U[0 - +infinity)
up

30. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
parraelle line
odd
2nd key - x^2 - graph

31. What are the steps for solving a word problem?
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
up
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

32. Two vertical lines side by side are a symbol for what
odd
C>1 - horizontal shrinking
parraelle line
Y=IxI

33. What are the four steps for finding the inverse of a function?
f(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
inconsistant

34. $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?
A V
negative inverse
f of g and g of f
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

35. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=x^3
2nd catalog (zero key -) abs(x) - graph

36. what is a range?
45 degree angle
The slope of a line containing two points
Conditional
The second set of components of an ordered pair

37. A flat line underlining one vertical line is a symbol for
x = the original sale price and the formula is x - .40x =$276
Equation of a line
perpendicular line
The single number y=

38. What points do you use to plot the inverse on a graph?
even
The opposite coordinates
parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

39. what can never equal zero in the slope formula and why?
same
horizontal
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f(x+c) and f(x-c)
horizontal right
The secant line
Approach neg toward x through zero and above positive close to x

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
horizontal left
Yes - all the domains points to one 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.
even

42. What is the formula for the cube root function?
(-infinity - +infinity)
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x

43. What type of slope do horizontal lines have?
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

44. What is the formula in both horizontal stretching and horizontal shrinking?
Y= then enter the number then press graph
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. What is the range for an absolute value function?
even
1 -2 -3
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)

46. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
even

47. What is the formula for the standard cubic function?
f of g and g of f
Set the x and y to zero and get the intercepts and then plot the points
undefined slope
f(x)=x^3

48. Which direction does f(x+c) move
(-infinity - +infinity)
[0 -+infinity)
horizontal left
Equation of a line

49. x= a real number is what type of equation?
up
Conditional
undefined slope
[0 -+infinity)

50. What is the vertical line formula?
x math 3 graph
function notation
negative slope
x=a