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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 is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Y=x^2 - graph
neither
(-infinity - +infinity)

2. What is a domain?
Y=x^2 - graph
postiive slope
Y=x - identity function
The first set of components of an ordered pair

3. What is the formula for an absolute value function?
postiive slope
f(x)=IxI
f(x)=suare root of x
2nd catalog (zero key -) abs(x) - graph

4. A flat line underlining one vertical line is a symbol for
even
perpendicular line
even
Cannot be drawn in quizlet

5. What are the calculator instructions for a standard quadratic equation?
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

6. what is the letter used to represent slope?
math 4 x - graph
m
(-infinity - +infinity)
As equations

7. What is the domain of an identity function?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
f(x)=3 square root x
identity

8. How do you calculate a constant function in your calculator?
As equations
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero
in a quotient

9. 4(x-7)=4x-28 is what type of an equation?
f(x)=3 square root x
horizontal left
identity
inconsitent

10. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y= then enter the number then press graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
1 -2 -3
f(x+h)-f(x)/h h cannot equal zero

11. Draw or discuss a decreasing function
Conditional
(-infinity - +infinity)
Cannot be drawn in quizlet
postiive slope

12. What type of slope do you have when a line falls left to right and m<0?
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
negative slope
Y= then enter the number then press graph

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

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14. 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
f(x^1)=f(x^2)
(-infinity - +infinity)
(-infinity - +infinity)

15. What are the four steps for solving a linear equation?
negative inverse
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x+c) and f(x-c)

16. What are the calculator instructions for a square root function?
Yes because two x's or domains can point to one y
undefined
4 -6 -9
2nd key - x^2 - graph

17. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=suare root of x
Y=10
x = the original sale price and the formula is x - .40x =$276
The minimum or maximum points

18. What are the calculator instructions for the standard cubic function?
Y=10
Conditional
x math 3 graph
neither

19. Draw or discuss an increasing function
The minimum or maximum points
f(x)=3 square root x
The slope of a line containing two points
Cannot be drawn in quizlet

20. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
0<c<1 - horizontal stretching
m
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x2)-f(x1) / x2-x1

21. What is the domain for an absolute value function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph

22. What type of function would you use to calculate the most advantageous cell phone plan?
The minimum or maximum points
Piecewise
f(x+h)-f(x)/h h cannot equal zero
odd

23. What is the formula for the cube root function?
The secant line
0<c<1 - horizontal stretching
f(x)=3 square root x
Yes - all the domains points to one range

24. What are the steps for solving a word problem?
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
no because you cannot have one domain pointing at two y's or ranges
x^2

25. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
up
Square Root

26. What is the formula for the standard cubic function?
f(x)=x^3
0<c<1 - horizontal stretching
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
because the demintor of a quotient can never equal zero

27. What is the range for the standard cubic function?
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
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. What shape is the standard quadratic function?
Piecewise
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola
Set the x and y to zero and get the intercepts and then plot the points

29. what is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
f(x)=+c and f(x)-c
down

30. What is a constant function?
1 -2 -3
f(x^1)=f(x^2)
perpendicular line
When does a graph not define y as a function of x?

31. What is an identity function?
f(x)=+c and f(x)-c
negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle

32. What is the standard quadratic function?
x^2
(-infinity - +infinity)
The minimum or maximum points
x = the original sale price and the formula is x - .40x =$276

33. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
down
Cannot be drawn in quizlet
f(x^1)=f(x^2)

34. What is the slope of a perpendicular line?
parraelle line
negative inverse
Y
[0 -+infinity)

35. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
[0 -+infinity)
parabola - up one and right three
(-infinity - +infinity)

36. how many ranges can you have for each domain?
same
only one
(-infinity - +infinity)
f(x+c) and f(x-c)

37. What is the vertex?
2nd key - x^2 - graph
inconsitent
The single number y=
The minimum or maximum points

38. What is the formula for to calculate the difference of a quotient function?
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
f(x+h)-f(x)/h h cannot equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=b

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
postiive slope
Yes - all the domains points to one range
because the demintor of a quotient can never equal zero

40. What are the calculator instructions for absolute value?
f(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd catalog (zero key -) abs(x) - graph
As equations

41. What is the formula for the square root function?
f(x)=suare root of x
even
Equation of a line
zero slope

42. $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?
horizontal
undefined
parraelle line
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

43. f(x) = x^2+3x+5 - what type of formula is this?
Change in y / change in x = rise / run = y2-y1 / x2-x1
function notation
inconsistant
f(x+c) and f(x-c)

44. 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
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
C>1 - horizontal shrinking
45 degree angle

45. Two vertical lines side by side are a symbol for what
parraelle line
Piecewise
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=suare root of x

46. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function
inconsitent
f(x^1)=f(x^2)

47. What is the range for a standard quadratic function?
(-infinity - 0]U[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
(-infinity - +infinity)
horizontal left

48. how many domains can you have pointing to one range?
(-infinity - +infinity)
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
As many as you like

49. What type of line is a constant function?
in a quotient
horizontal
zero slope
down

50. What is the domain of the cube root function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
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
Y= then enter the number then press graph