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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 type of line is a constant function?
function notation
horizontal
Line ascending to the right gradually
negative inverse

2. What does the standard cubic function look like on a graph?
parraelle line
Mirror image neg quadrant to that of the positive quandrant
undefined slope
2nd catalog (zero key -) abs(x) - graph

3. What type of line is a constant function?
Y
horizontal
negative slope
f(x)=3 square root x

4. What is the formula for the square root function?
Line ascending to the right gradually
f(x)=suare root of x
x=a
horizontal left

5. Standard absolute value - vertical shift formulas for positve and negative
Y=x - identity function
down
parraelle line
f(x)=+c and f(x)-c

6. In an identity function if f(10)=x than what is y?
identity
1 -2 -3
f(x+c) and f(x-c)
Y=10

7. What is the average rate of change formula?
math 4 x - graph
zero slope
m
f(x2)-f(x1) / x2-x1

8. What type of slope do you have when the line is horizontal and m=0?
zero slope
inconsistant
horizontal
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

9. What equation does every line have? Discuss the variables.
Conditional
Yes - all the domains points to one range
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

10. What direction does f(x)-c move in standard absolute value formula?
down
inconsitent
Cannot be drawn in quizlet
even

11. What are the four steps for solving a linear equation?
inconsistant
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.
x^2
Cannot be drawn in quizlet

12. What is the range of an identity function?
up
(-infinity - +infinity)
The first set of components of an ordered pair
undefined slope

13. What type of slope do you have when m=? and the line is vertical?
perpendicular line
undefined slope
2nd key - x^2 - graph
Square Root

14. What type of function would you use to calculate the most advantageous cell phone plan?
down
Y= then enter the number then press graph
Piecewise
f(x)=x^3

15. What is the formula for an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
f(x) = x
4 -6 -9

16. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=suare root of x
only one
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

17. What is the range for an absolute value function?
The opposite coordinates
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1

18. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
Square Root
math 4 x - graph
The secant line

19. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=3 square root x
x=a
function notation
x = the original sale price and the formula is x - .40x =$276

20. How do you calculate a constant function in your calculator?
Y=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
Y=b

21. What does the square root function look like on a graph?
down
Y=x^2 - graph
A line passing through two distinct points
Line ascending to the right gradually

22. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Piecewise
horizontal
The opposite coordinates

23. What are the steps for solving a word problem?
Y=IxI
Y=x^2 - 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
Cannot be drawn in quizlet

24. How would this formula move f(x)=(x+1)^2-3
horizontal
(-infinity - +infinity)
f(x^1)=f(x^2)
parabola - up one and right three

25. What is a domain?
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
The first set of components of an ordered pair
f(x)=+c and f(x)-c

26. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes - all the domains points to one range
x=a
zero slope

27. What is a relation?
f(x+h)-f(x)/h h cannot equal zero
f(x2)-f(x1) / x2-x1
Any set of ordered pairs
As many as you like

28. What is the domain of the cube root function?
Cannot be drawn in quizlet
in a quotient
(-infinity - +infinity)
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

29. Of the seven of algebra's common graph's how many are neither?
45 degree angle
x^2
negative inverse
Square Root

30. Is a constant function even - odd or neither?
Y=10
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
even
2nd catalog (zero key -) abs(x) - graph

31. What type of slope do you have when a line rises from left to right and m>0?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=IxI
postiive slope
f(x) = x

32. Is a standard quadratic function even - odd or neither?
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Line ascending to the right gradually
even

33. what is a range?
45 degree angle
(-infinity - +infinity)
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

34. What are the calculator instructions for the standard cubic function?
f(x)=+c and f(x)-c
Conditional
neither
x math 3 graph

35. what can never equal zero in the slope formula and why?
f(x)=+c and f(x)-c
function notation
x2-x1 because the demonaitor of a quotient can never equal zero
odd

36. What does the average rate of change formula solve?
2nd catalog (zero key -) abs(x) - graph
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points

37. x= a real number is what type of equation?
4 -6 -9
Conditional
perpendicular line
The single number y=

38. 4x+5x=8x is what type of an equation?
Equation of a line
Conditional
The opposite coordinates
Y

39. 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
x=a
Y= then enter the number then press graph
(-infinity - +infinity)

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?
Cannot be drawn in quizlet
inconsitent
x is the hours to repair the boat. $1603-532=anwser/63 = x
When does a graph not define y as a function of x?

41. What type of slope do you have when a line falls left to right and m<0?
m
negative slope
(-infinity - 0]U[0 - +infinity)
x math 3 graph

42. What is the range of the cube root function?
Y=b
(-infinity - +infinity)
The secant line
Piecewise

43. Of the seven of algebra's common graph's how many are even?
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
identity
C>1 - horizontal shrinking

44. x=all real numbers is what type of an equation?
even
identity
x math 3 graph
0<c<1 - horizontal stretching

45. how many ranges can you have for each domain?
even
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
only one

46. What is the standard quadratic function?
Yes - all the domains points to one range
x^2
even
negative inverse

47. What is the formula for to calculate the difference of a quotient 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.
The secant line
A line passing through two distinct points
f(x+h)-f(x)/h h cannot equal zero

48. Why can h not equal zero in the difference of a quotient function formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
odd
because the demintor of a quotient can never equal zero
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.

49. What is the slope intercept formula? Define all the variables.
The slope of a line containing two points
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
Set the x and y to zero and get the intercepts and then plot the points

50. What is a constant function?
f(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph
x math 3 graph
zero slope