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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. What type of slope do you have when m=? and the line is vertical?
2nd key - x^2 - graph
undefined slope
Piecewise
undefined

2. What is the domain and range of a constant function?
Yes because two x's or domains can point to one y
x=a
(-infinity - +infinity)
even

3. What does the square root function look like on a graph?
Line ascending to the right gradually
As many as you like
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

4. 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
Y=x - identity function
Yes - all the domains points to one range
neither

5. What is the horizontal line formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b
f of g and g of f
in a quotient

6. 4(x-7)=4x+28 is what type of an equation?
[0 -+infinity)
negative inverse
inconsitent
math 4 x - graph

7. What is the range of the cube root function?
[0 -+infinity)
inconsitent
(-infinity - +infinity)
f(x) = x

8. How are functions normally written?
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 secant line
A line passing through two distinct points
As equations

9. Of the seven of algebra's common graph's how many are even?
[0 -+infinity)
f(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic

10. What is the vertical line test?
0<c<1 - horizontal stretching
postiive slope
perpendicular line
When does a graph not define y as a function of x?

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
same
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 slope of a line containing two points
f(x)=suare root of x

12. What is slope?
math 4 x - graph
A line passing through two distinct points
Y=IxI
neither

13. What shape is the standard quadratic function?
Yes - all the domains points to one range
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
parabola
undefined

14. What is a relation?
even
math 4 x - graph
Any set of ordered pairs
(-infinity - +infinity)

15. Of the seven of algebra's common graph's how many are neither?
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.
Square Root
45 degree angle
negative inverse

16. What is the formula in both horizontal stretching and horizontal shrinking?
even
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
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

17. What is a constant function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)
f(x^1)=f(x^2)
zero slope

18. Standard absolute value - horizontal shift formulas for left and right
negative inverse
f(x+c) and f(x-c)
x2-x1 because the demonaitor of a quotient can never equal zero
Yes because two x's or domains can point to one y

19. What is a domain?
(-infinity - 0]U[0 - +infinity)
The first set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching

20. What is the range for the standard cubic function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

21. What direction does f(x)-c move in standard absolute value formula?
down
horizontal
parraelle line
Mirror image neg quadrant to that of the positive quandrant

22. What is a function?
Y=b
m
Any set of ordered pairs
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

23. What is another way of writing the absolute value function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI
odd
f(x+h)-f(x)/h h cannot equal zero

24. What type of line is a constant function?
horizontal
only one
Conditional
Y= then enter the number then press graph

25. What is the formula for an identity function?
neither
The single number y=
f(x) = x
(-infinity - +infinity)

26. A flat line underlining one vertical line is a symbol for
horizontal
The slope of a line containing two points
perpendicular line
Absolute Value - Constant and Standard Quadratic

27. What are the calculator instructions for the standard cubic function?
f(x) = x
x math 3 graph
zero slope
1 -2 -3

28. What is the formula for the standard cubic function?
horizontal
Conditional
As equations
f(x)=x^3

29. Which direction does f(x+c) move
horizontal left
(-infinity - +infinity)
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

30. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
zero slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=10
Yes - all the domains points to one range

31. What type of slope do horizontal lines have?
f(x) = x
same
The opposite coordinates
f of g and g of f

32. In an identity function if f(10)=x than what is y?
As many as you like
Absolute Value - Constant and Standard Quadratic
Y=10
As equations

33. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
20+.05x=5+.10x x=minutes

34. Is a constant function even - odd or neither?
The first set of components of an ordered pair
When does a graph not define y as a function of x?
even
negative inverse

35. 4x+5x=8x is what type of an equation?
undefined
(-infinity - +infinity)
(-infinity - +infinity)
Conditional

36. What are the steps for solving a word problem?
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
f of g and g of f
x = the original sale price and the formula is x - .40x =$276

37. 4(x-7)=4x-28 is what type of an equation?
f(x^1)=f(x^2)
f(x)=x^3
Equation of a line
identity

38. Draw or discuss a constant function
perpendicular line
C>1 - horizontal shrinking
Cannot be drawn in quizlet
f(x)=suare root of x

39. What are the algebra of functions?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x

40. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
Square Root

41. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
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.
The minimum or maximum points
1 -2 -3

42. What type of slope do you have when a line falls left to right and m<0?
horizontal right
negative slope
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points

43. Draw or discuss an increasing function
2nd key - x^2 - graph
Cannot be drawn in quizlet
Y
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

44. What is the domain for the standard cubic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
When does a graph not define y as a function of x?
The secant line

45. f(x) = x^2+3x+5 - what type of formula is this?
function notation
45 degree angle
f(x2)-f(x1) / x2-x1
45 degree angle

46. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
2nd catalog (zero key -) abs(x) - graph
postiive slope
Y=b
x = the original sale price and the formula is x - .40x =$276

47. What is the formula for an absolute value function?
only one
math 4 x - graph
f(x)=IxI
down

48. Is an absolute value function even - odd or neither?
f(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes
even
Y=IxI

49. What is the vertical line formula?
1 -2 -3
down
Y=b
x=a

50. what is the letter used to represent slope?
(-infinity - +infinity)
2nd key - x^2 - graph
undefined slope
m