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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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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 vertical line test?
Y=x^2 - graph
The opposite coordinates
When does a graph not define y as a function of x?
negative inverse

2. What is the range for an absolute value function?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]U[0 - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional

3. What direction does f(x)-c move in standard absolute value formula?
inconsistant
down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd

4. What type of slope do you have when the line is horizontal and m=0?
zero slope
As equations
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(x)=suare root of x

5. What is the range of the cube root function?
(-infinity - +infinity)
same
odd
inconsistant

6. $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?
no because you cannot have one domain pointing at two y's or ranges
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
The first set of components of an ordered pair
Square Root

7. How would this formula move f(x)=(x+1)^2-3
Piecewise
parabola - up one and right three
(-infinity - +infinity)
As many as you like

8. What is a constant function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
identity
f(x^1)=f(x^2)

9. Is the standard cubic function odd - even or neither?
The single number y=
f(x)=+c and f(x)-c
odd
Equation of a line

10. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
horizontal right
x = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

11. In an identity function if f(10)=x than what is y?
m
Y=10
odd
even

12. 4(x-7)=4x-28 is what type of an equation?
Three odd - cube root - identity - standard cubic
identity
math 4 x - graph
Piecewise

13. What is the formula for to calculate the difference of a quotient function?
postiive slope
C>1 - horizontal shrinking
f(x) = x
f(x+h)-f(x)/h h cannot equal zero

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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
f(x)=suare root of x

15. Is a standard quadratic function even - odd or neither?
no because you cannot have one domain pointing at two y's or ranges
identity
even
x is the hours to repair the boat. $1603-532=anwser/63 = x

16. 4(x-7)=4x+28 is what type of an equation?
inconsitent
(-infinity - +infinity)
[0 -+infinity)
f(x+c) and f(x-c)

17. What are the calculator instructions for a standard quadratic equation?
The secant line
45 degree angle
Conditional
Y=x^2 - graph

18. What is another way to write f(x)=x - what type of function is this?
Y=b
Y=x - identity function
no because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

19. What is the domain of a square root function?
function notation
[0 -+infinity)
Cannot be drawn in quizlet
Line ascending to the right gradually

20. What is the range of an identity 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
(-infinity - +infinity)
even

21. What does the absolute value function look like?
Approach neg toward x through zero and above positive close to x
negative slope
A V
even

22. What is the domain for the standard cubic function?
only one
C>1 - horizontal shrinking
The secant line
(-infinity - +infinity)

23. What shape is the standard quadratic function?
When does a graph not define y as a function of x?
The single number y=
Conditional
parabola

24. What is the domain of the cube root function?
A V
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Y

25. How do you calculate a constant function in your calculator?
Y=x - identity function
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph

26. What is the horizontal line formula?
parabola
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=b
(-infinity - +infinity)

27. What is a function?
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 second set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

28. What is the vertical line formula?
Yes - all the domains points to one range
x=a
Y= then enter the number then press graph
odd

29. Which direction does f(x+c) move
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
x is the hours to repair the boat. $1603-532=anwser/63 = x
math 4 x - graph
horizontal left

30. x=all real numbers is what type of an equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x^2 - graph
identity
x^2

31. What type of slope do you have when a line rises from left to right and m>0?
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 - up one and right three
postiive slope
f(x+c) and f(x-c)

32. How do you graph Ax+By+C=0?
odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x

33. What does the average rate of change formula solve?
Any set of ordered pairs
The opposite coordinates
undefined slope
The slope of a line containing two points

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

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35. how many ranges can you have for each domain?
Y=IxI
only one
A line passing through two distinct points
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.

36. What is an identity function?
The secant line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function notation
45 degree angle

37. what is a range?
horizontal
The second set of components of an ordered pair
When does a graph not define y as a function of x?
undefined

38. What is the formula for an identity function?
f(x) = x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
f(x)=IxI

39. 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
f(x)=+c and f(x)-c
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph

40. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points

41. What does the square root function look like on a graph?
The minimum or maximum points
x=a
Line ascending to the right gradually
negative inverse

42. What does the graph of the cube root function look like on the graph?
Y=x - identity function
Cannot be drawn in quizlet
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x

43. What is the range of the constant function?
The single number y=
x2-x1 because the demonaitor of a quotient can never equal zero
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. What type of slope do horizontal lines have?
The single number y=
same
Y=b
identity

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

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46. What type of slope do you have when a line falls left to right and m<0?
odd
f(x+h)-f(x)/h h cannot equal zero
negative slope
x math 3 graph

47. f(x) = x^2+3x+5 - what type of formula is this?
function notation
parabola - up one and right three
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

48. What can we substitute for f(x)?
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)
(-infinity - 0]U[0 - +infinity)
Y

49. What is the vertex?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
math 4 x - graph
Yes because two x's or domains can point to one y
The minimum or maximum points

50. Draw or discuss an increasing function
parraelle line
Cannot be drawn in quizlet
Line ascending to the right gradually
Absolute Value - Constant and Standard Quadratic

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CLEP College Algebra: Functions

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