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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. Of the seven of algebra's common graph's how many are odd?
even
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
f(x^1)=f(x^2)

2. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
45 degree angle

3. What is the vertex?
The minimum or maximum points
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

4. What type of slope do horizontal lines have?
Conditional
(-infinity - +infinity)
same
The secant line

5. What type of line is an identity function?
inconsitent
45 degree angle
When does a graph not define y as a function of x?
down

6. f(x) = x^2+3x+5 - what type of formula is this?
The second set of components of an ordered pair
negative inverse
function notation
Square Root

7. What is the horizontal line formula?
Y=b
(-infinity - +infinity)
function notation
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.

8. What is the domain of the cube root function?
2nd key - x^2 - graph
(-infinity - +infinity)
f(x^1)=f(x^2)
f(x)=suare root of x

9. When is the only time (-infinity - +infinity) is not the domain?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
up
neither
in a quotient

10. 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) = x
The opposite coordinates
Any set of ordered pairs

11. What does linear equation mean?
because the demintor of a quotient can never equal zero
Yes - all the domains points to one range
undefined slope
Equation of a line

12. What is the standard quadratic function?
Approach neg toward x through zero and above positive close to x
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
A line passing through two distinct points
up
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. Which direction does f(x+c) move
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal left
because the demintor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic

15. Why can h not equal zero in the difference of a quotient function formula?
perpendicular line
because the demintor of a quotient can never equal zero
Y=x^2 - graph
(-infinity - +infinity)

16. What are the four steps for finding the inverse of a function?
4 -6 -9
neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

17. Is an absolute value function even - odd or neither?
even
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Piecewise

18. Standard absolute value - horizontal shift formulas for left and right
Absolute Value - Constant and Standard Quadratic
f(x+c) and f(x-c)
f(x+h)-f(x)/h h cannot equal zero
Piecewise

19. What is a constant function?
horizontal left
f(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
When does a graph not define y as a function of x?

20. What is the formula in both horizontal stretching and horizontal shrinking?
45 degree angle
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function notation
2nd key - x^2 - graph

21. What type of slope do you have when a line rises from left to right and m>0?
20+.05x=5+.10x x=minutes
postiive slope
The first set of components of an ordered pair
same

22. What is the domain of an identity function?
perpendicular line
(-infinity - +infinity)
inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

23. What is the range of an identity function?
The single number y=
0<c<1 - horizontal stretching
(-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

24. Which direction does f(x-c) move
(-infinity - +infinity)
horizontal right
4 -6 -9
parabola - up one and right three

25. What is another way to write f(x)=x - what type of function is this?
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) = x
Y=x - identity function
Line ascending to the right gradually

26. 4(x-7)=4x-28 is what type of an equation?
A V
(f+g) - (f-g) - (fg) - (f/g) all of x
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1

27. 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?
f(x) = x
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

28. Is a constant function even - odd or neither?
even
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations
horizontal

29. What direction does f(x)-c move in standard absolute value formula?
The single number y=
down
(-infinity - +infinity)
x^2

30. What equation does every line have? Discuss the variables.
Approach neg toward x through zero and above positive close to x
postiive slope
f(x)=x^3
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.

31. what is the letter used to represent slope?
x2-x1 because the demonaitor of a quotient can never equal zero
up
m
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

32. What does the absolute value function look like?
x = the original sale price and the formula is x - .40x =$276
undefined
Y
A V

33. What does the standard cubic function look like on a graph?
horizontal
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Set the x and y to zero and get the intercepts and then plot the points

34. In an identity function if f(10)=x than what is y?
Y=10
m
even
Mirror image neg quadrant to that of the positive quandrant

35. How do you calculate a constant function in your calculator?
even
Y= then enter the number then press graph
negative inverse
horizontal right

36. What is a relation?
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
Any set of ordered pairs

37. y=f(cx) - what does this formula represent?
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
inconsitent
f(x2)-f(x1) / x2-x1

38. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+c) and f(x-c)
Yes - all the domains points to one range
identity
(-infinity - +infinity)

39. What are the calculator instructions for a square root function?
perpendicular line
2nd key - x^2 - graph
The opposite coordinates
only one

40. What is the range of the constant function?
down
(-infinity - +infinity)
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

41. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
odd
x2-x1 because the demonaitor of a quotient can never equal zero
Y

42. What is the domain of a square root function?
[0 -+infinity)
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
odd

43. What are the four steps for solving a linear equation?
inconsitent
f(x)=+c and f(x)-c
down
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.

44. how many domains can you have pointing to one range?
(-infinity - +infinity)
As many as you like
(-infinity - +infinity)
inconsistant

45. Is the square root function odd - even or neither?
1 -2 -3
neither
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. Which direction does f(x)=+c move in standard absolute value formula?
parraelle line
(-infinity - +infinity)
up
The opposite coordinates

47. What is the formula for an identity function?
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
inconsitent
negative inverse

48. x= a real number is what type of equation?
f(x) = x
Conditional
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
odd

49. What is the formula for the cube root function?
f(x)=3 square root x
parraelle line
parabola - up one and right three
As equations

50. x=no real numbers is what type of an equation?
f(x) = x
inconsistant
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant