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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 are the steps for solving a word problem?
negative inverse
even
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
odd

2. What are the four steps for finding the inverse of a function?
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.
identity
Square Root

3. What type of slope do you have when a line falls left to right and m<0?
The opposite coordinates
odd
negative slope
Any set of ordered pairs

4. What are the calculator instructions for a square root function?
Yes because two x's or domains can point to one y
2nd key - x^2 - graph
odd
Y= then enter the number then press graph

5. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
negative slope
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes

6. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
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.
even

7. 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)=IxI
Y=b
The first set of components of an ordered pair

8. Is an identity function even - odd or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. What is the point slope formula and when do you use it?
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

10. Standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
identity
same
f(x)=+c and f(x)-c

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
identity

12. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
x math 3 graph
parabola
m

13. What type of line is an identity function?
45 degree angle
undefined slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph

14. 4(x-7)=4x+28 is what type of an equation?
The opposite coordinates
4 -6 -9
inconsitent
because the demintor of a quotient can never equal zero

15. What type of slope do vertical lines have?
f(x2)-f(x1) / x2-x1
horizontal
undefined
same

16. Of the seven of algebra's common graph's how many are even?
x=a
Y=10
Square Root
Absolute Value - Constant and Standard Quadratic

17. how many domains can you have pointing to one range?
Conditional
As many as you like
odd
neither

18. What does the average rate of change formula solve?
A line passing through two distinct points
horizontal
because the demintor of a quotient can never equal zero
The slope of a line containing two points

19. How would this formula move f(x)=(x+1)^2-3
no because you cannot have one domain pointing at two y's or ranges
parabola - up one and right three
Y=b
C>1 - horizontal shrinking

20. What are two examples of composit functions?
x=a
parraelle line
f of g and g of f
(-infinity - +infinity)

21. What is the formula for an absolute value function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
even
f(x)=IxI
A line passing through two distinct points

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

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23. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
undefined
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x

24. Is the square root function odd - even or neither?
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
neither

25. What is the standard quadratic function?
only one
x^2
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional

26. 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
down
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
(-infinity - +infinity)

27. In an identity function if f(10)=x than what is y?
Equation of a line
Y=10
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes

28. What direction does f(x)-c move in standard absolute value formula?
down
Y=IxI
Y=b
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

29. what can never equal zero in the slope formula and why?
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
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+c) and f(x-c)
identity

30. Draw or discuss a constant function
[0 -+infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet

31. 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
even
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.
neither

32. What is the range for the standard cubic function?
x^2
f(x+c) and f(x-c)
(-infinity - +infinity)
math 4 x - graph

33. What is the range of a square root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=b
horizontal left
[0 -+infinity)

34. What is the vertex?
Piecewise
The minimum or maximum points
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
even

35. what is the formula for slope?
up
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair
Y=IxI

36. Which direction does f(x-c) move
negative inverse
horizontal right
Piecewise
even

37. What is the range of the cube root function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
Y=10

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

39. What is the horizontal line formula?
f(x) = x
x=a
A V
Y=b

40. What is the slope intercept formula? Define all the variables.
no because you cannot have one domain pointing at two y's or ranges
up
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

41. What are the four steps for solving a linear equation?
f(x)=IxI
Equation of a line
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.
f(x^1)=f(x^2)

42. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
odd
Yes - all the domains points to one range
(-infinity - +infinity)

43. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
identity
Yes because two x's or domains can point to one y
2nd key - x^2 - graph

44. What does the square root function look like on a graph?
m
Line ascending to the right gradually
f(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x

45. What is another way of writing the absolute value function?
in a quotient
Y=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x
Three odd - cube root - identity - standard cubic

46. f(x) = x^2+3x+5 - what type of formula is this?
The single number y=
function notation
Square Root
Y=x^2 - graph

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

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48. How do you calculate a constant function in your calculator?
As many as you like
Y= then enter the number then press graph
postiive slope
(-infinity - +infinity)

49. What is the formula for the square root function?
f(x)=suare root of x
horizontal right
f(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1

50. What type of line is a constant function?
horizontal
Any set of ordered pairs
f(x2)-f(x1) / x2-x1
As equations