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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. Why can h not equal zero in the difference of a quotient function formula?
Yes because two x's or domains can point to one y
because the demintor of a quotient can never equal zero
4 -6 -9
f(x)=x^3

2. What is the range of a square root function?
Y=IxI
f(x) = x
(-infinity - +infinity)
[0 -+infinity)

3. What type of line is a constant function?
When does a graph not define y as a function of x?
45 degree angle
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero

4. What is the formula for the cube root function?
up
When does a graph not define y as a function of x?
The minimum or maximum points
f(x)=3 square root x

5. What shape is the standard quadratic function?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
parabola
(f+g) - (f-g) - (fg) - (f/g) all of x

6. What type of line is an identity function?
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
inconsistant
The second set of components of an ordered pair

7. What is the formula for to calculate the difference of a quotient function?
function notation
f(x+c) and f(x-c)
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+h)-f(x)/h h cannot equal zero

8. What does the standard cubic function look like on a graph?
up
Y=x - identity function
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

9. What is the slope of a perpendicular line?
neither
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
negative inverse

10. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
because the demintor of a quotient can never equal zero
even
0<c<1 - horizontal stretching

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x^2
Piecewise
Yes - all the domains points to one range

12. What is the horizontal line formula?
Yes - all the domains points to one range
Y=b
The minimum or maximum points
m

13. What is the slope intercept formula? Define all the variables.
Y
f(x^1)=f(x^2)
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. A flat line underlining one vertical line is a symbol for
inconsistant
horizontal left
perpendicular line
[0 -+infinity)

15. What is the range for a standard quadratic function?
f(x)=IxI
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes

16. What is the formula for an absolute value function?
f(x+h)-f(x)/h h cannot equal zero
f(x)=IxI
Three odd - cube root - identity - standard cubic
45 degree angle

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

18. y=f(cx) what does this formula represent?
even
0<c<1 - horizontal stretching
inconsitent
neither

19. What is the range for an absolute value function?
no because you cannot have one domain pointing at two y's or ranges
Square Root
(-infinity - 0]U[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

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

21. What is the domain for an absolute value function?
odd
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
The slope of a line containing two points

22. What are the calculator instructions for a standard quadratic equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
Piecewise
f(x+h)-f(x)/h h cannot equal zero

23. Which direction does f(x-c) move
horizontal right
The minimum or maximum points
Equation of a line
m

24. Which direction does f(x)=+c move in standard absolute value formula?
horizontal
up
even
Y

25. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
(-infinity - +infinity)
[0 -+infinity)
0<c<1 - horizontal stretching

26. What is another way to write f(x)=x - what type of function is this?
parabola
Y=x - identity function
Three odd - cube root - identity - standard cubic
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

27. What are the four steps for finding the inverse of a function?
negative inverse
A V
parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

28. What are the four steps for solving a linear equation?
The opposite coordinates
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.
parabola
even

29. $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?
undefined slope
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
Set the x and y to zero and get the intercepts and then plot the points
A line passing through two distinct points

30. How do you graph Ax+By+C=0?
odd
horizontal right
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates

31. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Yes - all the domains points to one range
[0 -+infinity)
even

32. What are the steps for solving a word problem?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
odd
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

33. f(x) = x^2+3x+5 - what type of formula is this?
function notation
odd
(-infinity - +infinity)
[0 -+infinity)

34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
f(x^1)=f(x^2)
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet

35. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
m
Yes because two x's or domains can point to one y
in a quotient

36. What is a constant function?
f(x^1)=f(x^2)
Square Root
f(x)=x^3
A line passing through two distinct points

37. What is the formula in both horizontal stretching and horizontal shrinking?
Y=b
parabola - up one and right three
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

38. What are the calculator instructions for a square root function?
postiive slope
Y= then enter the number then press graph
2nd key - x^2 - graph
0<c<1 - horizontal stretching

39. What type of slope do you have when the line is horizontal and m=0?
Y=IxI
zero slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

40. x=no real numbers is what type of an equation?
inconsistant
x2-x1 because the demonaitor of a quotient can never equal zero
Y=IxI
C>1 - horizontal shrinking

41. In an identity function if f(10)=x than what is y?
(-infinity - +infinity)
horizontal left
x2-x1 because the demonaitor of a quotient can never equal zero
Y=10

42. What type of slope do you have when a line falls left to right and m<0?
x^2
Line ascending to the right gradually
negative slope
Approach neg toward x through zero and above positive close to x

43. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
x=a
identity
The minimum or maximum points

44. Is an identity function even - odd or neither?
horizontal left
The minimum or maximum points
Y=x - identity function
odd

45. What is a relation?
Any set of ordered pairs
The first set of components of an ordered pair
As equations
Square Root

46. What direction does f(x)-c move in standard absolute value formula?
Y= then enter the number then press graph
f(x^1)=f(x^2)
(-infinity - +infinity)
down

47. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
postiive slope
f of g and g of f
45 degree angle

48. What does the square root function look like on a graph?
parabola - up one and right three
negative inverse
m
Line ascending to the right gradually

49. What is the domain of a square root function?
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
45 degree angle

50. What can we substitute for f(x)?
Approach neg toward x through zero and above positive close to x
Y
45 degree angle
1 -2 -3