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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. 4(x-7)=4x+28 is what type of an equation?
even
inconsitent
odd
Change in y / change in x = rise / run = y2-y1 / x2-x1

2. What is the range of a square root function?
[0 -+infinity)
in a quotient
identity
no because you cannot have one domain pointing at two y's or ranges

3. What is the domain of a square root function?
[0 -+infinity)
up
Y=b
even

4. What is the domain for an absolute value function?
(-infinity - +infinity)
identity
Y=b
Y= then enter the number then press graph

5. What type of line is a constant function?
The opposite coordinates
horizontal
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
Yes - all the domains points to one range

6. What are the steps for solving a word problem?
Y=x^2 - graph
2nd key - x^2 - graph
f of g and g of f
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

7. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
4 -6 -9
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
The opposite coordinates
The second set of components of an ordered pair

8. What can we substitute for f(x)?
Y
Y= then enter the number then press graph
f(x) = x
Equation of a line

9. 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(x)=+c and f(x)-c
Mirror image neg quadrant to that of the positive quandrant
function notation

10. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
undefined
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c

11. What is the formula for the cube root function?
inconsistant
f(x)=3 square root x
(-infinity - +infinity)
When does a graph not define y as a function of x?

12. Which direction does f(x-c) move
even
up
horizontal right
A V

13. What are the calculator instructions for absolute value?
down
A line passing through two distinct points
in a quotient
2nd catalog (zero key -) abs(x) - graph

14. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
m
Yes because two x's or domains can point to one y
Yes - all the domains points to one range

15. What type of slope do you have when m=? and the line is vertical?
zero slope
undefined slope
same
negative slope

16. What is the range of an identity function?
Y
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Yes because two x's or domains can point to one y

17. What is a constant function?
The first set of components of an ordered pair
f(x^1)=f(x^2)
f(x)=IxI
f(x) = x

18. What is the standard quadratic function?
(-infinity - +infinity)
horizontal
x^2
(-infinity - +infinity)

19. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero
even

20. What is a domain?
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
f of g and g of f

21. What does the absolute value function look like?
horizontal left
4 -6 -9
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x

22. What is a function?
undefined slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parabola - up one and right three
Y=x - identity function

23. What are the calculator instructions for the cube root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
math 4 x - graph
Square Root
4 -6 -9

24. x= a real number is what type of equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

25. Of the seven of algebra's common graph's how many are neither?
m
(-infinity - +infinity)
Square Root
(-infinity - +infinity)

26. What equation does every line have? Discuss the variables.
Piecewise
The first set of components of an ordered pair
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+h)-f(x)/h h cannot equal zero

27. What type of slope do vertical lines have?
negative slope
undefined
f(x)=x^3
identity

28. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
C>1 - horizontal shrinking
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic

29. How are functions normally written?
f(x)=+c and f(x)-c
As equations
(-infinity - +infinity)
The minimum or maximum points

30. what is the letter used to represent slope?
m
The second set of components of an ordered pair
Y=x^2 - graph
horizontal

31. What type of line is an identity function?
45 degree angle
horizontal right
(-infinity - +infinity)
(-infinity - +infinity)

32. Is an identity function even - odd or neither?
odd
(-infinity - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

33. What is the formula for to calculate the difference of a quotient function?
A V
f(x+h)-f(x)/h h cannot equal zero
f of g and g of f
inconsitent

34. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
zero slope
Y=x - identity function
[0 -+infinity)

35. Draw or discuss an increasing function
down
Square Root
horizontal right
Cannot be drawn in quizlet

36. What is the formula for an absolute value function?
Y=x - identity function
Yes - all the domains points to one range
(-infinity - +infinity)
f(x)=IxI

37. Of the seven of algebra's common graph's how many are even?
f(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

38. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
odd
Y=b
A line passing through two distinct points

39. What is the formula for an identity function?
Yes - all the domains points to one range
f(x) = x
Piecewise
horizontal right

40. What is an identity function?
x math 3 graph
45 degree angle
Conditional
Y= then enter the number then press graph

41. What direction does f(x)-c move in standard absolute value formula?
down
f(x2)-f(x1) / x2-x1
x^2
Piecewise

42. what can never equal zero in the slope formula and why?
Y
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x2-x1 because the demonaitor of a quotient can never equal zero

43. What does the square root function look like on a graph?
horizontal
Line ascending to the right gradually
horizontal
up

44. f(x) = x^2+3x+5 - what type of formula is this?
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - +infinity)
function notation

45. What shape is the standard quadratic function?
Conditional
parabola
perpendicular line
even

46. What does the graph of the cube root function look like on the graph?
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
m

47. What are the algebra of functions?
The minimum or maximum points
horizontal
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x

48. What is the vertical line test?
When does a graph not define y as a function of x?
undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
x=a

49. 4x+5x=8x is what type of an equation?
identity
in a quotient
undefined slope
Conditional

50. how many ranges can you have for each domain?
even
only one
0<c<1 - horizontal stretching
x is the hours to repair the boat. $1603-532=anwser/63 = x