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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. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Y
negative inverse
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.

2. what is a range?
identity
f(x)=suare root of x
The second set of components of an ordered pair
undefined

3. What is the range of the constant function?
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair
(-infinity - +infinity)

4. Is an identity function even - odd or neither?
odd
horizontal
As many as you like
(-infinity - 0]U[0 - +infinity)

5. What is the domain of an identity function?
4 -6 -9
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
(-infinity - +infinity)
in a quotient

6. Is a constant function even - odd or neither?
even
As equations
1 -2 -3
Cannot be drawn in quizlet

7. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
A V
4 -6 -9
f(x)=IxI

8. x= a real number is what type of equation?
f(x) = x
Conditional
(-infinity - +infinity)
1 -2 -3

9. 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?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsistant

10. What type of slope do you have when the line is horizontal and m=0?
negative slope
Piecewise
zero slope
0<c<1 - horizontal stretching

11. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
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
Three odd - cube root - identity - standard cubic
down

12. y=f(cx) - what does this formula represent?
in a quotient
C>1 - horizontal shrinking
function notation
parabola - up one and right three

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

14. what is the letter used to represent slope?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Cannot be drawn in quizlet
m

15. What is the formula in both horizontal stretching and horizontal shrinking?
even
undefined slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x^2

16. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
undefined slope
f(x+h)-f(x)/h h cannot equal zero
inconsitent

17. What is the formula for an absolute value function?
Conditional
x = the original sale price and the formula is x - .40x =$276
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=IxI

18. In an identity function if f(10)=x than what is y?
Y=10
function notation
identity
Equation of a line

19. y=f(cx) what does this formula represent?
Mirror image neg quadrant to that of the positive quandrant
x math 3 graph
0<c<1 - horizontal stretching
(-infinity - +infinity)

20. What can we substitute for f(x)?
even
f(x)=IxI
Y
2nd key - x^2 - graph

21. What is another way to write f(x)=x - what type of function is this?
f(x+c) and f(x-c)
Y=x - identity function
f(x2)-f(x1) / x2-x1
f(x)=x^3

22. Is the square root function odd - even or neither?
up
because the demintor of a quotient can never equal zero
neither
parabola

23. What is the line called that illustrates the straight line between the two points when showing average rate of change?
zero slope
A V
(-infinity - +infinity)
The secant line

24. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Piecewise
f(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair

25. What is the domain for an absolute value function?
(-infinity - +infinity)
45 degree angle
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points

26. What type of slope do you have when m=? and the line is vertical?
The first set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
undefined slope

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
horizontal left
f(x)=IxI
Yes - all the domains points to one range
odd

28. When is the only time (-infinity - +infinity) is not the domain?
Conditional
in a quotient
(-infinity - +infinity)
(-infinity - +infinity)

29. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
The single number y=
math 4 x - graph
x = the original sale price and the formula is x - .40x =$276

30. What does the average rate of change formula solve?
identity
The slope of a line containing two points
identity
neither

31. What are the algebra of functions?
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
even

32. What equation does every line have? Discuss the variables.
Square Root
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.
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

33. What direction does f(x)-c move in standard absolute value formula?
Conditional
undefined slope
up
down

34. How do you calculate a constant function in your calculator?
parabola - up one and right three
Y= then enter the number then press graph
m
f(x+c) and f(x-c)

35. $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?
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
parabola - up one and right three
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

36. What is the formula for the standard cubic function?
f(x)=x^3
(-infinity - +infinity)
Line ascending to the right gradually
up

37. What is the slope intercept formula? Define all the variables.
math 4 x - graph
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet

38. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Any set of ordered pairs
identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

39. What is slope?
identity
even
A line passing through two distinct points
A V

40. What does the absolute value function look like?
no because you cannot have one domain pointing at two y's or ranges
A V
(-infinity - +infinity)
1 -2 -3

41. Of the seven of algebra's common graph's how many are even?
The single number y=
Absolute Value - Constant and Standard Quadratic
undefined slope
negative slope

42. What type of slope do horizontal lines have?
Yes because two x's or domains can point to one y
same
f(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. Is an absolute value function even - odd or neither?
The opposite coordinates
even
The second set of components of an ordered pair
When does a graph not define y as a function of x?

44. 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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking
Cannot be drawn in quizlet

45. 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
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
(-infinity - +infinity)

46. How are functions normally written?
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x2)-f(x1) / x2-x1
x math 3 graph

47. What is the formula for the cube root function?
x^2
f(x)=+c and f(x)-c
f(x)=3 square root x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

48. What type of function would you use to calculate the most advantageous cell phone plan?
The minimum or maximum points
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph

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

50. What is the formula for an identity function?
Yes - all the domains points to one range
f(x) = x
The single number y=
The minimum or maximum points