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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 function?
f(x)=IxI
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.
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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

2. What type of line is a constant function?
(-infinity - +infinity)
horizontal
function notation
(-infinity - +infinity)

3. What type of line is an identity function?
x=a
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 first set of components of an ordered pair
45 degree angle

4. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x)=3 square root x
The single number y=
The minimum or maximum points
1 -2 -3

5. Of the seven of algebra's common graph's how many are even?
parabola
(-infinity - +infinity)
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic

6. What are the algebra of functions?
same
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
horizontal

7. 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?
neither
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
Three odd - cube root - identity - standard cubic

8. 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
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=suare root of x

9. What are the calculator instructions for the standard cubic function?
negative inverse
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
only one

10. What is the horizontal line formula?
Y=b
undefined
When does a graph not define y as a function of x?
(-infinity - +infinity)

11. What is the range of the constant function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
horizontal
The single number y=

12. Which direction does f(x-c) move
horizontal right
in a quotient
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic

13. What shape is the standard quadratic function?
identity
When does a graph not define y as a function of x?
f(x+c) and f(x-c)
parabola

14. Why can h not equal zero in the difference of a quotient function formula?
45 degree angle
because the demintor of a quotient can never equal zero
horizontal
Cannot be drawn in quizlet

15. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
f(x)=+c and f(x)-c
Approach neg toward x through zero and above positive close to x
Change in y / change in x = rise / run = y2-y1 / x2-x1

16. A flat line underlining one vertical line is a symbol for
perpendicular line
When does a graph not define y as a function of x?
x2-x1 because the demonaitor of a quotient can never equal zero
A V

17. What is the slope of a perpendicular line?
neither
(-infinity - +infinity)
Y=b
negative inverse

18. What is the formula for the cube root function?
horizontal left
f(x)=3 square root x
Y=x - identity function
undefined slope

19. What is the formula for an absolute value function?
45 degree angle
2nd key - x^2 - graph
Equation of a line
f(x)=IxI

20. What are the calculator instructions for the cube root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
math 4 x - graph
parabola
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. What is the formula for the standard cubic function?
postiive slope
Three odd - cube root - identity - standard cubic
f(x)=x^3
undefined

22. What is the standard quadratic function?
x^2
x2-x1 because the demonaitor of a quotient can never equal zero
m
2nd key - x^2 - graph

23. What type of line is a constant function?
As equations
(-infinity - +infinity)
horizontal
[0 -+infinity)

24. y=f(cx) - what does this formula represent?
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

25. What is the domain for a standard quadratic function?
parabola
Y=b
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

26. What is the range for an absolute value function?
Y=10
odd
(-infinity - 0]U[0 - +infinity)
f(x^1)=f(x^2)

27. What is the vertex?
The minimum or maximum points
parabola
The single number y=
45 degree angle

28. y=f(cx) what does this formula represent?
Conditional
0<c<1 - horizontal stretching
because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x

29. Draw or discuss an increasing function
The single number y=
horizontal right
A line passing through two distinct points
Cannot be drawn in quizlet

30. Is an absolute value function even - odd or neither?
Approach neg toward x through zero and above positive close to x
even
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x

31. What is the domain of the cube root function?
neither
odd
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

32. Is a standard quadratic function even - odd or neither?
Any set of ordered pairs
even
The minimum or maximum points
The slope of a line containing two points

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

34. Is the square root function odd - even or neither?
Square Root
Set the x and y to zero and get the intercepts and then plot the points
neither
even

35. What is the range of an identity function?
The single number y=
(-infinity - +infinity)
horizontal left
Conditional

36. x= a real number is what type of equation?
Conditional
m
45 degree angle
The slope of a line containing two points

37. What is the formula in both horizontal stretching and horizontal shrinking?
A V
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes because two x's or domains can point to one y
neither

38. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
1 -2 -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.
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
no because you cannot have one domain pointing at two y's or ranges

39. what is a range?
Conditional
f(x)=+c and f(x)-c
The second set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero

40. what is the formula for slope?
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
same
only one
Change in y / change in x = rise / run = y2-y1 / x2-x1

41. What is the formula for the square root function?
As many as you like
f(x)=suare root of x
zero slope
in a quotient

42. Which direction does f(x)=+c move in standard absolute value formula?
Yes - all the domains points to one range
up
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. How would this formula move f(x)=(x+1)^2-3
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola - up one and right three
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)

44. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
The secant line
f(x)=IxI
(-infinity - 0]U[0 - +infinity)

45. How do you graph Ax+By+C=0?
The second set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
parraelle line
2nd catalog (zero key -) abs(x) - graph

46. what is the letter used to represent slope?
m
When does a graph not define y as a function of x?
Y=x - identity function
f(x)=3 square root x

47. What is another way to write f(x)=x - what type of function is this?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal right
down
Y=x - identity function

48. Is an identity function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
odd
Any set of ordered pairs
zero slope

49. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
The opposite coordinates
(-infinity - 0]U[0 - +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

50. What type of function would you use to calculate the most advantageous cell phone plan?
As equations
even
Piecewise
in a quotient