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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 vertical lines have?
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even
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.
horizontal

2. Is a constant function even - odd or neither?
even
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.
(-infinity - 0]U[0 - +infinity)
45 degree angle

3. What type of line is a constant function?
Conditional
Absolute Value - Constant and Standard Quadratic
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
horizontal

4. What is the domain of an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The minimum or maximum points
(-infinity - +infinity)
The opposite coordinates

5. What is the formula in both horizontal stretching and horizontal shrinking?
Cannot be drawn in quizlet
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=x^3
identity

6. what is the formula for slope?
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
x is the hours to repair the boat. $1603-532=anwser/63 = x
x = the original sale price and the formula is x - .40x =$276

7. Of the seven of algebra's common graph's how many are neither?
(-infinity - 0]U[0 - +infinity)
Square Root
undefined
f(x)=IxI

8. What direction does f(x)-c move in standard absolute value formula?
x=a
Square Root
When does a graph not define y as a function of x?
down

9. What is the slope of a perpendicular line?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
negative inverse
odd
Change in y / change in x = rise / run = y2-y1 / x2-x1

10. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

11. What are the steps for solving a word problem?
The opposite coordinates
x=a
[0 -+infinity)
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

12. What is a function?
f(x) = x
4 -6 -9
inconsistant
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. What type of slope do you have when a line falls left to right and m<0?
negative slope
parabola
undefined slope
0<c<1 - horizontal stretching

14. Is the standard cubic function odd - even or neither?
Piecewise
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
odd
Y=10

15. What is the domain of a square root function?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
Y=x - identity function
(-infinity - 0]U[0 - +infinity)

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

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17. What is the formula for an absolute value function?
2nd catalog (zero key -) abs(x) - graph
down
C>1 - horizontal shrinking
f(x)=IxI

18. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
even
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
undefined slope

19. What is slope?
As many as you like
The single number y=
Set the x and y to zero and get the intercepts and then plot the points
A line passing through two distinct points

20. What are the four steps for finding the inverse of a function?
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined
postiive slope

21. Draw or discuss a decreasing function
Cannot be drawn in quizlet
negative slope
(-infinity - +infinity)
inconsistant

22. What is another way to write f(x)=x - what type of function is this?
f(x)=3 square root x
Y=x - identity function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x math 3 graph

23. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
20+.05x=5+.10x x=minutes

24. How do you calculate a constant function in your calculator?
f(x)=IxI
Y= then enter the number then press graph
A V
Cannot be drawn in quizlet

25. how many ranges can you have for each domain?
(-infinity - +infinity)
only one
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

26. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
(-infinity - +infinity)
f(x) = x
Equation of a line

27. 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?
(f+g) - (f-g) - (fg) - (f/g) all of x
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
f(x)=3 square root x

28. What shape is the standard quadratic function?
parabola
even
[0 -+infinity)
f of g and g of f

29. What does the graph of the cube root function look like on the graph?
odd
undefined
Approach neg toward x through zero and above positive close to x
x is the hours to repair the boat. $1603-532=anwser/63 = x

30. What is the range of the cube root function?
f(x)=+c and f(x)-c
The minimum or maximum points
(-infinity - +infinity)
As equations

31. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
down
(-infinity - +infinity)
Square Root

32. What type of slope do horizontal lines have?
f(x)=+c and f(x)-c
same
undefined slope
parraelle line

33. What is the domain for an absolute value function?
odd
up
parabola - up one and right three
(-infinity - +infinity)

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

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35. Which direction does f(x-c) move
horizontal right
f(x)=suare root of x
f(x) = x
in a quotient

36. What is the average rate of change formula?
The slope of a line containing two points
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
Yes - all the domains points to one range
f(x2)-f(x1) / x2-x1

37. In an identity function if f(10)=x than what is y?
Square Root
Y=10
parraelle line
x math 3 graph

38. What does the square root function look like on a graph?
x^2
Any set of ordered pairs
Line ascending to the right gradually
horizontal left

39. 4(x-7)=4x+28 is what type of an equation?
The second set of components of an ordered pair
inconsitent
undefined
f(x+c) and f(x-c)

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
horizontal
parabola
parraelle line
The secant line

41. What is the range for an absolute value function?
The second set of components of an ordered pair
Square Root
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range

42. What type of slope do you have when m=? and the line is vertical?
undefined slope
Y=x - identity function
no because you cannot have one domain pointing at two y's or ranges
Y= then enter the number then press graph

43. what is a range?
m
math 4 x - graph
The second set of components of an ordered pair
f(x) = x

44. Which direction does f(x)=+c move in standard absolute value formula?
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
up
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a

45. What is the domain of the cube root function?
(-infinity - +infinity)
even
Three odd - cube root - identity - standard cubic
f of g and g of f

46. What is the range of an identity function?
negative slope
Square Root
horizontal right
(-infinity - +infinity)

47. 4x+5x=8x is what type of an equation?
Conditional
20+.05x=5+.10x x=minutes
inconsitent
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

48. What points do you use to plot the inverse on a graph?
The opposite coordinates
Square Root
x = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking

49. What is an identity function?
math 4 x - graph
45 degree angle
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
undefined

50. Of the seven of algebra's common graph's how many are even?
Square Root
As equations
Absolute Value - Constant and Standard Quadratic
horizontal left