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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. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
Change in y / change in x = rise / run = y2-y1 / x2-x1
The secant line
(-infinity - +infinity)

2. What does the absolute value function look like?
x is the hours to repair the boat. $1603-532=anwser/63 = x
A V
1 -2 -3
f(x)=3 square root x

3. how many ranges can you have for each domain?
perpendicular line
only one
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges

4. What does linear equation mean?
Cannot be drawn in quizlet
2nd key - x^2 - graph
Equation of a line
Absolute Value - Constant and Standard Quadratic

5. A flat line underlining one vertical line is a symbol for
perpendicular line
odd
f(x) = x
(-infinity - +infinity)

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd catalog (zero key -) abs(x) - graph
inconsistant
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.

7. What type of slope do horizontal lines have?
same
Y=b
negative slope
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 is the formula for an identity function?
f(x) = x
in a quotient
Yes - all the domains points to one range
parraelle line

9. What can we substitute for f(x)?
Y
(-infinity - +infinity)
Y=10
f(x)=suare root of x

10. What are the calculator instructions for a standard quadratic equation?
only one
even
negative slope
Y=x^2 - graph

11. What type of slope do you have when a line falls left to right and m<0?
negative slope
f(x)=x^3
f(x)=suare root of x
same

12. What type of slope do you have when m=? and the line is vertical?
undefined slope
(f+g) - (f-g) - (fg) - (f/g) all of x
no because you cannot have one domain pointing at two y's or ranges
Y=x - identity function

13. What is the slope intercept formula? Define all the variables.
math 4 x - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f of g and g of f
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is the domain for a standard quadratic function?
(-infinity - +infinity)
down
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
x math 3 graph
(-infinity - +infinity)
2nd key - x^2 - graph
4 -6 -9

16. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - 0]U[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient
f(x)=+c and f(x)-c

17. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
odd
45 degree angle
neither

18. What are the calculator instructions for the standard cubic function?
Yes because two x's or domains can point to one y
f(x)=suare root of x
x math 3 graph
When does a graph not define y as a function of x?

19. What is the range of an identity function?
even
(-infinity - +infinity)
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points

20. What are the steps for solving a word problem?
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
The single number y=
horizontal
As many as you like

21. Which direction does f(x)=+c move in standard absolute value formula?
inconsistant
Cannot be drawn in quizlet
up
parraelle line

22. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
function notation
f(x2)-f(x1) / x2-x1
even

23. Draw or discuss an increasing function
Piecewise
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.
When does a graph not define y as a function of x?

24. How do you graph Ax+By+C=0?
m
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
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points

25. What is the range for a standard quadratic function?
odd
Line ascending to the right gradually
in a quotient
(-infinity - 0]U[0 - +infinity)

26. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
zero slope
(-infinity - +infinity)
odd

27. What does the average rate of change formula solve?
even
negative inverse
The slope of a line containing two points
Conditional

28. What is the average rate of change formula?
The second set of components of an ordered pair
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
negative slope

29. what can never equal zero in the slope formula and why?
x=a
x2-x1 because the demonaitor of a quotient can never equal zero
4 -6 -9
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

30. How do you calculate a constant function in your calculator?
Y
Y=x - identity function
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x

31. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The single number y=
x math 3 graph
1 -2 -3
Square Root

32. Two vertical lines side by side are a symbol for what
inconsistant
parraelle line
4 -6 -9
in a quotient

33. x=no real numbers is what type of an equation?
(-infinity - +infinity)
inconsistant
perpendicular line
identity

34. Is an identity function even - odd or neither?
odd
Piecewise
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x

35. What is the formula for the standard cubic function?
f(x)=x^3
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)=3 square root x
(-infinity - +infinity)

36. What is the domain of a square root function?
[0 -+infinity)
Yes - all the domains points to one range
undefined slope
inconsitent

37. What is the domain of the cube root function?
odd
Y=b
0<c<1 - horizontal stretching
(-infinity - +infinity)

38. What is the range of a square root function?
x math 3 graph
[0 -+infinity)
Conditional
only one

39. How would this formula move f(x)=(x+1)^2-3
f(x) = x
parabola - up one and right three
x^2
The secant line

40. What is the range for the standard cubic function?
(-infinity - +infinity)
Any set of ordered pairs
even
perpendicular line

41. What is the standard quadratic function?
odd
x^2
f(x)=x^3
undefined slope

42. What are the algebra of functions?
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. What is the range of the cube root function?
(-infinity - 0]U[0 - +infinity)
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)
zero slope

44. What type of slope do you have when a line rises from left to right and m>0?
Equation of a line
The minimum or maximum points
postiive slope
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. How are functions normally written?
identity
As equations
Y= then enter the number then press graph
f(x^1)=f(x^2)

46. 4x+5x=8x is what type of an equation?
neither
2nd key - x^2 - graph
Conditional
horizontal

47. In an identity function if f(10)=x than what is y?
Absolute Value - Constant and Standard Quadratic
Y=10
A line passing through two distinct points
math 4 x - graph

48. 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
because the demintor of a quotient can never equal zero
math 4 x - graph
x=a

49. What is the vertex?
Y=IxI
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
The minimum or maximum points

50. What is an identity function?
math 4 x - graph
parabola
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope