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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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
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

2. What are the calculator instructions for a square root function?
1 -2 -3
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
parabola

3. y=f(cx) what does this formula represent?
(-infinity - +infinity)
0<c<1 - horizontal stretching
f of g and g of f
[0 -+infinity)

4. What does the average rate of change formula solve?
0<c<1 - horizontal stretching
undefined slope
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

5. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined
because the demintor of a quotient can never equal zero
x math 3 graph

6. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Piecewise
f(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes

7. What is the vertex?
The minimum or maximum points
odd
m
even

8. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
When does a graph not define y as a function of x?
[0 -+infinity)
(-infinity - +infinity)

9. What is the domain of a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
(-infinity - +infinity)
The minimum or maximum points

10. What type of slope do horizontal lines have?
same
f(x)=3 square root x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

11. What is the point slope formula and when do you use it?
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
same
identity

12. What type of slope do you have when m=? and the line is vertical?
horizontal left
Line ascending to the right gradually
[0 -+infinity)
undefined slope

13. 4(x-7)=4x-28 is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
in a quotient
identity
undefined

14. x=all real numbers is what type of an equation?
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.
same
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity

15. What type of slope do you have when the line is horizontal and m=0?
postiive slope
zero slope
x math 3 graph
x^2

16. Is the square root function odd - even or neither?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
neither
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

17. What type of slope do you have when a line rises from left to right and m>0?
down
Y=b
Cannot be drawn in quizlet
postiive slope

18. What is the formula for the square root function?
because the demintor of a quotient can never equal zero
f(x)=suare root of x
f(x)=+c and f(x)-c
A V

19. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - +infinity)
even
f(x+h)-f(x)/h h cannot equal zero

20. What is the range for the standard cubic function?
(-infinity - +infinity)
identity
identity
A line passing through two distinct points

21. What are the calculator instructions for the standard cubic function?
x math 3 graph
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)=IxI
(-infinity - +infinity)

22. What is the slope intercept formula? Define all the variables.
1 -2 -3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A V
(-infinity - 0]U[0 - +infinity)

23. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking

24. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
even
odd
(-infinity - +infinity)

25. What are the calculator instructions for the cube root function?
x = the original sale price and the formula is x - .40x =$276
same
horizontal
math 4 x - graph

26. x= a real number is what type of equation?
A V
Conditional
horizontal left
same

27. In an identity function if f(10)=x than what is y?
(-infinity - +infinity)
Y=10
(-infinity - +infinity)
horizontal left

28. Is an absolute value function even - odd or neither?
Yes - all the domains points to one range
only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

29. What is the vertical line test?
When does a graph not define y as a function of x?
x = the original sale price and the formula is x - .40x =$276
Y
(-infinity - +infinity)

30. What is the horizontal line formula?
horizontal left
Y=b
f(x^1)=f(x^2)
negative slope

31. What is the domain of the cube root function?
neither
(-infinity - +infinity)
The slope of a line containing two points
same

32. Draw or discuss a constant function
4 -6 -9
f(x)=IxI
Cannot be drawn in quizlet
45 degree angle

33. Two vertical lines side by side are a symbol for what
parraelle line
(-infinity - +infinity)
neither
Absolute Value - Constant and Standard Quadratic

34. What is a relation?
f of g and g of f
postiive slope
Any set of ordered pairs
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

35. how many ranges can you have for each domain?
only one
f(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant
no because you cannot have one domain pointing at two y's or ranges

36. What is slope?
Y=10
Conditional
(-infinity - +infinity)
A line passing through two distinct points

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f of g and g of f
Absolute Value - Constant and Standard Quadratic
1 -2 -3
Y=x - identity function

38. What is the formula for an absolute value function?
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
f(x)=IxI
f(x+c) and f(x-c)

39. Which direction does f(x-c) move
Cannot be drawn in quizlet
[0 -+infinity)
only one
horizontal right

40. f(x) = x^2+3x+5 - what type of formula is this?
function notation
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Cannot be drawn in quizlet

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

42. Is a constant function even - odd or neither?
Y=x - identity function
(-infinity - +infinity)
f(x+c) and f(x-c)
even

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
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.
Approach neg toward x through zero and above positive close to x

44. What is another way to write f(x)=x - what type of function is this?
Three odd - cube root - identity - standard cubic
Y=x - identity function
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)

45. Is an identity function even - odd or neither?
(-infinity - +infinity)
odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. What is the range of the constant function?
down
The single number y=
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

47. what can never equal zero in the slope formula and why?
Conditional
x2-x1 because the demonaitor of a quotient can never equal zero
x = the original sale price and the formula is x - .40x =$276
Square Root

48. How do you graph Ax+By+C=0?
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Y=b
because the demintor of a quotient can never equal zero

49. 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
identity
inconsistant
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

50. What are the calculator instructions for a standard quadratic equation?
odd
Y=x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope