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 domain of a square root function?
(-infinity - +infinity)
f(x)=suare root of x
[0 -+infinity)
neither

2. Two vertical lines side by side are a symbol for what
45 degree angle
parraelle line
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

3. How are functions normally written?
undefined slope
Three odd - cube root - identity - standard cubic
As equations
odd

4. x=all real numbers is what type of an equation?
The single number y=
inconsitent
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.
identity

5. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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.
2nd key - x^2 - graph
Y=x - identity function
1 -2 -3

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

7. What points do you use to plot the inverse on a graph?
The opposite coordinates
f(x^1)=f(x^2)
because the demintor of a quotient can never equal zero
(-infinity - +infinity)

8. When is the only time (-infinity - +infinity) is not the domain?
1 -2 -3
Equation of a line
f of g and g of f
in a quotient

9. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
parraelle line
f(x) = x
20+.05x=5+.10x x=minutes

10. What shape is the standard quadratic function?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
in a quotient
parabola

11. What are the steps for solving a word problem?
same
f(x^1)=f(x^2)
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
1 -2 -3

12. What are the algebra of functions?
Approach neg toward x through zero and above positive close to x
Y=IxI
perpendicular line
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What is the range of an identity 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.
(-infinity - +infinity)
function notation
Yes because two x's or domains can point to one y

14. What is an identity function?
even
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
(-infinity - +infinity)

15. What are the calculator instructions for a square root function?
f(x)=x^3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph

16. Draw or discuss a constant function
Cannot be drawn in quizlet
no because you cannot have one domain pointing at two y's or ranges
[0 -+infinity)
identity

17. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
no because you cannot have one domain pointing at two y's or ranges
The secant line
A V

18. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching
Y

19. A flat line underlining one vertical line is a symbol for
Y=x - identity function
perpendicular line
f(x)=3 square root x
Absolute Value - Constant and Standard Quadratic

20. What type of function would you use to calculate the most advantageous cell phone plan?
x = the original sale price and the formula is x - .40x =$276
math 4 x - graph
f(x)=+c and f(x)-c
Piecewise

21. What is the formula for to calculate the difference of a quotient function?
0<c<1 - horizontal stretching
f(x)=IxI
f(x+h)-f(x)/h h cannot equal zero
f(x2)-f(x1) / x2-x1

22. What is a function?
Cannot be drawn in quizlet
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

23. What type of slope do you have when a line falls left to right and m<0?
x math 3 graph
A line passing through two distinct points
m
negative slope

24. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
m
inconsitent
horizontal

25. What is the domain and range of a constant function?
horizontal right
The secant line
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276

26. What is the range for an absolute value function?
neither
x^2
(-infinity - 0]U[0 - +infinity)
f(x) = x

27. What is the range for a standard quadratic function?
A V
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 - 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

28. What are the four steps for solving a linear equation?
Y=x - identity function
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
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.
identity

29. What is a relation?
Any set of ordered pairs
As many as you like
neither
identity

30. Of the seven of algebra's common graph's how many are neither?
same
Yes because two x's or domains can point to one y
Square Root
even

31. What is the range of the constant function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
parraelle line
(-infinity - +infinity)

32. What is the range of the cube root function?
neither
negative slope
(-infinity - +infinity)
f(x)=+c and f(x)-c

33. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
parraelle line
x^2
x = the original sale price and the formula is x - .40x =$276
4 -6 -9

34. what is the formula for slope?
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
math 4 x - graph

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

36. What are the four steps for finding the inverse of a function?
1 -2 -3
undefined
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. What is the formula for the cube root function?
f(x)=3 square root x
As many as you like
Mirror image neg quadrant to that of the positive quandrant
odd

38. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f of g and g of f
f(x)=suare root of x
horizontal right

39. Is the square root function odd - even or neither?
inconsistant
neither
4 -6 -9
The minimum or maximum points

40. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Any set of ordered pairs
odd
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.

41. What is the slope of a perpendicular line?
negative inverse
parabola - up one and right three
down
even

42. Of the seven of algebra's common graph's how many are even?
even
function notation
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet

43. What does the average rate of change formula solve?
same
The slope of a line containing two points
inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. 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.
f(x+c) and f(x-c)
function notation
odd

45. What is the point slope formula and when do you use it?
even
20+.05x=5+.10x x=minutes
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph

46. What type of line is a constant function?
horizontal
f(x)=IxI
(-infinity - +infinity)
(-infinity - +infinity)

47. Which direction does f(x-c) move
even
0<c<1 - horizontal stretching
horizontal right
C>1 - horizontal shrinking

48. What type of line is a constant function?
f(x2)-f(x1) / x2-x1
Y= then enter the number then press graph
even
horizontal

49. What type of slope do you have when the line is horizontal and m=0?
Y=x^2 - graph
20+.05x=5+.10x x=minutes
only one
zero slope

50. What can we substitute for f(x)?
Y
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.
Piecewise
(-infinity - 0]U[0 - +infinity)