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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 a constant function?
(-infinity - +infinity)
parraelle line
f(x^1)=f(x^2)
x2-x1 because the demonaitor of a quotient can never equal zero

2. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
The second set of components of an ordered pair
f of g and g of f
f(x)=+c and f(x)-c

3. How are functions normally written?
As equations
m
f(x+c) and f(x-c)
[0 -+infinity)

4. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
only one
20+.05x=5+.10x x=minutes
Line ascending to the right gradually
odd

5. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
horizontal left
The second set of components of an ordered pair
horizontal

6. What are the algebra of functions?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. What type of slope do horizontal lines have?
Y
(-infinity - +infinity)
Y=x - identity function
same

8. Standard absolute value - horizontal shift formulas for left and right
Yes because two x's or domains can point to one y
f(x+c) and f(x-c)
in a quotient
(-infinity - +infinity)

9. What is the formula for the cube root function?
same
f(x)=3 square root x
identity
A line passing through two distinct points

10. Which direction does f(x-c) move
Y=x^2 - graph
horizontal right
perpendicular line
negative inverse

11. What are the calculator instructions for a standard quadratic equation?
Cannot be drawn in quizlet
f(x^1)=f(x^2)
Y=x^2 - graph
identity

12. Is the square root function odd - even or neither?
Conditional
f(x+c) and f(x-c)
neither
down

13. What is the formula for an identity function?
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.
f(x) = x
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

14. What is the point slope formula and when do you use it?
20+.05x=5+.10x x=minutes
f(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

15. Two vertical lines side by side are a symbol for what
parraelle line
because the demintor of a quotient can never equal zero
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

16. What is the vertical line formula?
The minimum or maximum points
f of g and g of f
x=a
Square Root

17. What is the range of a square root function?
[0 -+infinity)
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Y=b

18. Is a standard quadratic function even - odd or neither?
Conditional
because the demintor of a quotient can never equal zero
negative slope
even

19. Draw or discuss an increasing function
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
undefined

20. Is an identity function even - odd or neither?
odd
negative inverse
[0 -+infinity)
Cannot be drawn in quizlet

21. What is the vertical line test?
The slope of a line containing two points
45 degree angle
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
When does a graph not define y as a function of x?

22. What are the calculator instructions for the standard cubic function?
parabola
(-infinity - +infinity)
x math 3 graph
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

23. What is the domain and range of a constant function?
identity
horizontal left
(-infinity - +infinity)
The single number y=

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

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25. What is the slope intercept formula? Define all the variables.
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
C>1 - horizontal shrinking

26. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd catalog (zero key -) abs(x) - graph
down

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
even
even
f(x2)-f(x1) / x2-x1

28. how many ranges can you have for each domain?
x = the original sale price and the formula is x - .40x =$276
Y=10
(-infinity - +infinity)
only one

29. What is the range for a standard quadratic function?
postiive slope
odd
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)

30. how many domains can you have pointing to one range?
parabola - up one and right three
As many as you like
f(x+c) and f(x-c)
f(x) = x

31. What is the range for the standard cubic function?
(-infinity - +infinity)
down
Conditional
Set the x and y to zero and get the intercepts and then plot the points

32. What direction does f(x)-c move in standard absolute value formula?
f of g and g of f
down
Yes - all the domains points to one range
(-infinity - +infinity)

33. What is the standard quadratic function?
0<c<1 - horizontal stretching
identity
zero slope
x^2

34. How do you graph Ax+By+C=0?
horizontal right
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
Approach neg toward x through zero and above positive close to x

35. What points do you use to plot the inverse on a graph?
The opposite coordinates
inconsitent
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs

36. What is the average rate of change formula?
The slope of a line containing two points
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
Y=b

37. What are the steps for solving a word problem?
in a quotient
The minimum or maximum points
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
neither

38. What is the domain for a standard quadratic function?
20+.05x=5+.10x x=minutes
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
(-infinity - +infinity)

39. f(x) = x^2+3x+5 - what type of formula is this?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x=a
A line passing through two distinct points
function notation

40. 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?
Y
math 4 x - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
negative slope

41. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f of g and g of f
identity
The secant line
Yes - all the domains points to one range

42. What type of function would you use to calculate the most advantageous cell phone plan?
odd
x math 3 graph
Piecewise
even

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
even
Yes - all the domains points to one range
The secant line
parabola

44. 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
Y= then enter the number then press graph
perpendicular line
x math 3 graph

45. What is slope?
As equations
A line passing through two distinct points
As many as you like
f(x)=IxI

46. What is the range for an absolute value function?
0<c<1 - horizontal stretching
(-infinity - 0]U[0 - +infinity)
horizontal right
identity

47. What is an identity function?
negative slope
because the demintor of a quotient can never equal zero
45 degree angle
Y=b

48. Which direction does f(x)=+c move in standard absolute value formula?
Three odd - cube root - identity - standard cubic
because the demintor of a quotient can never equal zero
up
function notation

49. What type of slope do you have when the line is horizontal and m=0?
f of g and g of f
zero slope
Absolute Value - Constant and Standard Quadratic
0<c<1 - horizontal stretching

50. What does the square root function look like on a graph?
Piecewise
f(x+c) and f(x-c)
even
Line ascending to the right gradually