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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 another way to write f(x)=x - what type of function is this?
Y=IxI
When does a graph not define y as a function of x?
Y=x - identity function
even

2. $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 right
Y
1 -2 -3
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

3. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
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
Yes because two x's or domains can point to one y
Square Root

4. Is a constant function even - odd or neither?
Yes - all the domains points to one range
A V
because the demintor of a quotient can never equal zero
even

5. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal left
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

6. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=suare root of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsistant

7. What is the horizontal line formula?
Y=b
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 right
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

8. What is the range of the constant function?
As many as you like
Mirror image neg quadrant to that of the positive quandrant
Y=10
The single number y=

9. What does the average rate of change formula solve?
The slope of a line containing two points
m
f(x)=3 square root x
same

10. x= a real number is what type of equation?
Conditional
Line ascending to the right gradually
parabola - up one and right three
Square Root

11. What is the vertical line test?
0<c<1 - horizontal stretching
When does a graph not define y as a function of x?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

12. What is an identity function?
Yes - all the domains points to one range
45 degree angle
(-infinity - +infinity)
(-infinity - +infinity)

13. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
only one
horizontal

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

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15. What is the slope of a perpendicular line?
negative inverse
(-infinity - +infinity)
neither
horizontal

16. What is the domain and range of a constant function?
(-infinity - +infinity)
The slope of a line containing two points
negative slope
[0 -+infinity)

17. What is the formula for the cube root function?
Y=IxI
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x
(-infinity - +infinity)

18. how many ranges can you have for each domain?
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
only one
Any set of ordered pairs

19. What type of slope do you have when a line falls left to right and m<0?
parraelle line
Cannot be drawn in quizlet
Y= then enter the number then press graph
negative slope

20. What is the formula for an absolute value function?
f(x)=IxI
horizontal left
horizontal
The single number y=

21. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph
f(x)=suare root of x
Yes - all the domains points to one range

22. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
0<c<1 - horizontal stretching
20+.05x=5+.10x x=minutes
Y=IxI
f of g and g of f

23. Draw or discuss a decreasing function
2nd catalog (zero key -) abs(x) - graph
f(x^1)=f(x^2)
Cannot be drawn in quizlet
A V

24. What type of slope do you have when m=? and the line is vertical?
undefined slope
Approach neg toward x through zero and above positive close to x
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.
45 degree angle

25. Which direction does f(x-c) move
f(x)=suare root of x
horizontal right
Mirror image neg quadrant to that of the positive quandrant
parabola - up one and right three

26. Which direction does f(x+c) move
even
horizontal left
The slope of a line containing two points
Piecewise

27. What is the point slope formula and when do you use it?
x2-x1 because the demonaitor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
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

28. What is the domain of a square root function?
As many as you like
4 -6 -9
[0 -+infinity)
f(x)=x^3

29. A flat line underlining one vertical line is a symbol for
Any set of ordered pairs
(-infinity - +infinity)
perpendicular line
f(x)=+c and f(x)-c

30. how many domains can you have pointing to one range?
As many as you like
As equations
even
The slope of a line containing two points

31. What is the standard quadratic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
x^2
2nd key - x^2 - graph

32. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
identity
f(x^1)=f(x^2)

33. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Mirror image neg quadrant to that of the positive quandrant
only one

34. What does the absolute value function look like?
(-infinity - +infinity)
m
A V
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. What is the vertex?
The minimum or maximum points
f(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
neither

36. What type of function would you use to calculate the most advantageous cell phone plan?
no because you cannot have one domain pointing at two y's or ranges
Piecewise
Three odd - cube root - identity - standard cubic
As equations

37. x=no real numbers is what type of an equation?
1 -2 -3
Square Root
inconsistant
A V

38. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
only one

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

40. What are the four steps for solving a linear equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
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.

41. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
As equations

42. y=f(cx) - what does this formula represent?
horizontal
undefined slope
45 degree angle
C>1 - horizontal shrinking

43. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Any set of ordered pairs
The secant line
The slope of a line containing two points
Y=IxI

44. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
Y=x^2 - graph
(-infinity - +infinity)
A V

45. What is a domain?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
The first set of components of an ordered pair
4 -6 -9

46. What is the average rate of change formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
even
Y=x^2 - graph
f(x2)-f(x1) / x2-x1

47. What is the domain of an identity function?
down
(-infinity - +infinity)
up
odd

48. what is the formula for slope?
neither
Change in y / change in x = rise / run = y2-y1 / x2-x1
Yes because two x's or domains can point to one y
horizontal

49. Of the seven of algebra's common graph's how many are neither?
Square Root
45 degree angle
4 -6 -9
Y=10

50. What is the range for an absolute value function?
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)
horizontal
Mirror image neg quadrant to that of the positive quandrant