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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. Is an absolute value function even - odd or neither?
20+.05x=5+.10x x=minutes
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+g) - (f-g) - (fg) - (f/g) all of x
even

2. Of the seven of algebra's common graph's how many are neither?
Square Root
Yes because two x's or domains can point to one y
The secant line
(-infinity - +infinity)

3. $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?
Mirror image neg quadrant to that of the positive quandrant
[0 -+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
Y=b

4. What type of slope do you have when m=? and the line is vertical?
Square Root
only one
(-infinity - 0]U[0 - +infinity)
undefined slope

5. What are two examples of composit functions?
f(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x
f of g and g of f
undefined

6. What is an identity function?
f of g and g of f
f(x)=x^3
m
45 degree angle

7. How would this formula move f(x)=(x+1)^2-3
in a quotient
Mirror image neg quadrant to that of the positive quandrant
x math 3 graph
parabola - up one and right three

8. What type of slope do vertical lines have?
Square Root
undefined
parraelle line
(-infinity - +infinity)

9. 4(x-7)=4x+28 is what type of an equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph
inconsitent

10. How do you graph Ax+By+C=0?
f(x+c) and f(x-c)
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
The secant line

11. What is the domain of a square root function?
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
f(x)=3 square root x
[0 -+infinity)

12. What type of line is an identity function?
undefined
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
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.

13. What type of slope do you have when a line falls left to right and m<0?
negative slope
even
As equations
parabola

14. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
parabola
Square Root

15. What type of function would you use to calculate the most advantageous cell phone plan?
x^2
Piecewise
even
Three odd - cube root - identity - standard cubic

16. What is the vertical line formula?
horizontal right
Y=x - identity function
f(x+c) and f(x-c)
x=a

17. What is a relation?
[0 -+infinity)
Any set of ordered pairs
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic

18. What shape is the standard quadratic function?
parabola
no because you cannot have one domain pointing at two y's or ranges
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola - up one and right three

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.
f(x+c) and f(x-c)
A line passing through two distinct points
4 -6 -9

20. Which direction does f(x+c) move
45 degree angle
horizontal left
negative inverse
45 degree angle

21. 4(x-7)=4x-28 is what type of an equation?
same
identity
negative slope
horizontal

22. Is a standard quadratic function even - odd or neither?
identity
even
up
Cannot be drawn in quizlet

23. how many ranges can you have for each domain?
x^2
As equations
only one
identity

24. What is the domain for a standard quadratic function?
(-infinity - +infinity)
As many as you like
Y=b
Y=x^2 - graph

25. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
math 4 x - graph
Set the x and y to zero and get the intercepts and then plot the points
20+.05x=5+.10x x=minutes
x^2

26. What is another way of writing the absolute value function?
f(x+c) and f(x-c)
Y=IxI
f(x) = x
up

27. What points do you use to plot the inverse on a graph?
horizontal
f(x) = x
x^2
The opposite coordinates

28. x= a real number is what type of equation?
Conditional
f(x)=+c and f(x)-c
(-infinity - +infinity)
up

29. What is the formula for an identity function?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
down
f(x) = x

30. Is a constant function even - odd or neither?
f(x)=suare root of x
The second set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x
even

31. What is a constant function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
f(x^1)=f(x^2)
down

32. What is the formula in both horizontal stretching and horizontal shrinking?
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
math 4 x - graph

33. What is the formula for the standard cubic function?
negative inverse
f(x)=x^3
Square Root
(-infinity - +infinity)

34. what is a range?
0<c<1 - horizontal stretching
The first set of components of an ordered pair
The second set of components of an ordered pair
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

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

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36. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
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
(-infinity - 0]U[0 - +infinity)

37. What are the calculator instructions for a standard quadratic equation?
same
As equations
Y=x^2 - graph
even

38. Why can h not equal zero in the difference of a quotient function formula?
A line passing through two distinct points
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
parabola

39. What is the range of a square root function?
[0 -+infinity)
horizontal left
f(x)=3 square root x
neither

40. What are the algebra of functions?
f(x+c) and f(x-c)
Y
(f+g) - (f-g) - (fg) - (f/g) all of x
x math 3 graph

41. What is the range for the standard cubic function?
odd
parabola
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

42. Is the square root function odd - even or neither?
(-infinity - +infinity)
neither
f(x)=x^3
f of g and g of f

43. What is the domain of the cube root function?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Y=x^2 - graph
Equation of a line

44. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
Y=x - identity function
(-infinity - +infinity)

45. What does the average rate of change formula solve?
odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points
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

46. What is the slope of a perpendicular line?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
perpendicular line
negative inverse
Three odd - cube root - identity - standard cubic

47. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3
2nd catalog (zero key -) abs(x) - graph
Conditional

48. Which direction does f(x-c) move
Y
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph
horizontal right

49. y=f(cx) what does this formula represent?
45 degree angle
0<c<1 - horizontal stretching
Piecewise
negative inverse

50. What is the domain and range of a constant function?
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
odd