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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. how many ranges can you have for each domain?
horizontal right
f(x^1)=f(x^2)
Conditional
only one

2. what is the letter used to represent slope?
even
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
inconsistant
m

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?
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
f(x) = x
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

4. y=f(cx) what does this formula represent?
Y=IxI
2nd key - x^2 - graph
down
0<c<1 - horizontal stretching

5. How do you graph Ax+By+C=0?
Y
f(x^1)=f(x^2)
The opposite coordinates
Set the x and y to zero and get the intercepts and then plot the points

6. What is the average rate of change formula?
The first set of components of an ordered pair
f(x2)-f(x1) / x2-x1
f(x)=IxI
horizontal left

7. What is the domain of the cube root function?
(-infinity - +infinity)
Y=x - identity function
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes

8. What is the domain and range of a constant function?
f(x^1)=f(x^2)
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
even

9. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
Y=x^2 - graph

10. What does the absolute value function look like?
As equations
Y=10
A V
(-infinity - +infinity)

11. What type of function would you use to calculate the most advantageous cell phone plan?
A line passing through two distinct points
odd
Piecewise
in a quotient

12. What is the vertex?
The minimum or maximum points
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
2nd catalog (zero key -) abs(x) - graph
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

13. What type of slope do you have when m=? and the line is vertical?
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
undefined slope
math 4 x - graph
(-infinity - +infinity)

14. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
because the demintor of a quotient can never equal zero
postiive slope

15. how many domains can you have pointing to one range?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As many as you like
m
odd

16. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The minimum or maximum points
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
same

17. What direction does f(x)-c move in standard absolute value formula?
f(x2)-f(x1) / x2-x1
f(x)=+c and f(x)-c
down
Yes - all the domains points to one range

18. Draw or discuss a decreasing function
Y=IxI
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
As many as you like

19. What is the formula for the standard cubic function?
postiive slope
undefined slope
f(x)=x^3
f of g and g of f

20. Which direction does f(x-c) move
x2-x1 because the demonaitor of a quotient can never equal zero
x^2
Square Root
horizontal right

21. What is the range of the cube root function?
Y=IxI
1 -2 -3
Piecewise
(-infinity - +infinity)

22. What is the range for a standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
C>1 - horizontal shrinking
neither

23. 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.
horizontal left
identity
2nd key - x^2 - graph

24. what is a range?
As many as you like
math 4 x - graph
The second set of components of an ordered pair
f(x)=suare root of x

25. What are the algebra of functions?
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3

26. What is the domain of an identity function?
Equation of a line
Yes - all the domains points to one range
(-infinity - +infinity)
undefined slope

27. what can never equal zero in the slope formula and why?
even
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=IxI
because the demintor of a quotient can never equal zero

28. Draw or discuss a constant function
Yes - all the domains points to one range
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Cannot be drawn in quizlet

29. What is the range of a square root function?
x=a
x2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)

30. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
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.
f(x2)-f(x1) / x2-x1
inconsitent

31. What are two examples of composit functions?
identity
f(x) = x
[0 -+infinity)
f of g and g of f

32. What is the domain for the standard cubic function?
[0 -+infinity)
(-infinity - +infinity)
inconsistant
f of g and g of f

33. Is an absolute value function even - odd or neither?
f(x+c) and f(x-c)
C>1 - horizontal shrinking
x^2
even

34. What is the range of the constant function?
undefined slope
f(x+c) and f(x-c)
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
The single number y=

35. x= a real number is what type of equation?
x=a
neither
f(x^1)=f(x^2)
Conditional

36. What type of line is a constant function?
45 degree angle
Approach neg toward x through zero and above positive close to x
The secant line
horizontal

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The secant line
even
[0 -+infinity)

38. 4x+5x=8x is what type of an equation?
(-infinity - 0]U[0 - +infinity)
The secant line
When does a graph not define y as a function of x?
Conditional

39. What are the four steps for finding the inverse of a function?
A V
(-infinity - +infinity)
[0 -+infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

40. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
[0 -+infinity)
odd
20+.05x=5+.10x x=minutes

41. What type of slope do you have when the line is horizontal and m=0?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)
zero slope
parraelle line

42. what is the formula for slope?
f of g and g of f
Y=x - identity function
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
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)
The secant line

44. What type of slope do vertical lines have?
negative inverse
1 -2 -3
Absolute Value - Constant and Standard Quadratic
undefined

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

46. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
zero slope
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

47. What does the standard cubic function look like on a graph?
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
because the demintor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant

48. 4(x-7)=4x-28 is what type of an equation?
horizontal
identity
parabola - up one and right three
neither

49. What is the horizontal line formula?
(-infinity - +infinity)
(-infinity - +infinity)
Y=b
no because you cannot have one domain pointing at two y's or ranges

50. f(x) = x^2+3x+5 - what type of formula is this?
m
Conditional
zero slope
function notation