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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 formula for an identity function?
The minimum or maximum points
f(x) = x
The secant line
45 degree angle

2. What does linear equation mean?
f(x)=+c and f(x)-c
Equation of a line
Conditional
horizontal left

3. 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
x math 3 graph
parabola - up one and right three
f(x) = x

4. What is a relation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs
odd
function notation

5. what is the letter used to represent slope?
x2-x1 because the demonaitor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
m
Change in y / change in x = rise / run = y2-y1 / x2-x1

6. What are the calculator instructions for absolute value?
inconsistant
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
no because you cannot have one domain pointing at two y's or ranges

7. What are the four steps for finding the inverse of a function?
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

8. what can never equal zero in the slope formula and why?
inconsitent
Set the x and y to zero and get the intercepts and then plot the points
f(x) = x
x2-x1 because the demonaitor of a quotient can never equal zero

9. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x)=suare root of x
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. What are the calculator instructions for a standard quadratic equation?
0<c<1 - horizontal stretching
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.
only one
Y=x^2 - graph

11. What type of line is a constant function?
Line ascending to the right gradually
horizontal
(-infinity - +infinity)
The minimum or maximum points

12. What is the range of the cube root function?
(-infinity - +infinity)
f(x)=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
perpendicular line

13. What type of slope do horizontal lines have?
undefined slope
Conditional
0<c<1 - horizontal stretching
same

14. What does the square root function look like on a graph?
(-infinity - +infinity)
Line ascending to the right gradually
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes

15. x= a real number is what type of equation?
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
down
parabola
Conditional

16. What is the domain and range of a constant function?
45 degree angle
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
undefined slope

17. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
45 degree angle
Y=10
Y=b

18. What is the range of the constant function?
0<c<1 - horizontal stretching
The single number y=
up
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

19. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Equation of a line
Yes - all the domains points to one range
identity
undefined

21. What is the formula for the standard cubic function?
negative slope
f(x)=x^3
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

22. What type of slope do you have when a line rises from left to right and m>0?
The first set of components of an ordered pair
postiive slope
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x

23. What is the range of an identity function?
1 -2 -3
odd
Any set of ordered pairs
(-infinity - +infinity)

24. What are the algebra of functions?
f(x)=suare root of x
odd
(f+g) - (f-g) - (fg) - (f/g) all of x
0<c<1 - horizontal stretching

25. What is the domain for an absolute value function?
f(x) = x
(-infinity - +infinity)
f(x)=suare root of x
f(x2)-f(x1) / x2-x1

26. What is the average rate of change formula?
zero slope
f(x2)-f(x1) / x2-x1
Change in y / change in x = rise / run = y2-y1 / x2-x1
even

27. What are the four steps for solving a linear equation?
m
f(x)=IxI
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.
Conditional

28. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=3 square root x

29. y=f(cx) what does this formula represent?
f(x)=suare root of x
0<c<1 - horizontal stretching
down
Yes because two x's or domains can point to one y

30. What is the range for a standard quadratic function?
The first set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes
Piecewise

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

32. how many ranges can you have for each domain?
parabola - up one and right three
only one
Mirror image neg quadrant to that of the positive quandrant
45 degree angle

33. What is the range for the standard cubic function?
45 degree angle
even
f(x)=x^3
(-infinity - +infinity)

34. What is the horizontal line formula?
inconsitent
Y=b
f(x^1)=f(x^2)
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

35. Is the square root function odd - even or neither?
neither
f(x)=x^3
Cannot be drawn in quizlet
(-infinity - +infinity)

36. Two vertical lines side by side are a symbol for what
parraelle line
0<c<1 - horizontal stretching
math 4 x - graph
f(x)=3 square root x

37. What is the domain of an identity function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
f(x)=IxI
m

38. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
inconsistant
f(x)=+c and f(x)-c
f(x)=x^3
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

39. What is a domain?
Y=x - identity function
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
45 degree angle

40. What are two examples of composit functions?
parabola - up one and right three
up
because the demintor of a quotient can never equal zero
f of g and g of f

41. What is the standard quadratic function?
x^2
Cannot be drawn in quizlet
Yes - all the domains points to one range
horizontal

42. What equation does every line have? Discuss the variables.
Y
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an 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.
45 degree angle

43. What is the vertical line test?
C>1 - horizontal shrinking
odd
When does a graph not define y as a function of x?
The secant line

44. What is an identity function?
f(x)=x^3
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
Conditional
45 degree angle

45. Which direction does f(x)=+c move in standard absolute value formula?
Y=x - identity function
up
down
45 degree angle

46. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations
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
horizontal right

47. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
horizontal right
f(x)=+c and f(x)-c

48. What does the absolute value function look like?
x is the hours to repair the boat. $1603-532=anwser/63 = x
A V
f(x)=suare root of x
Conditional

49. What is the vertex?
The minimum or maximum points
undefined slope
m
even

50. Draw or discuss an increasing function
[0 -+infinity)
[0 -+infinity)
Cannot be drawn in quizlet
Yes - all the domains points to one range