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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. 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
4 -6 -9
Any set of ordered pairs
Y=10

2. What type of slope do you have when a line rises from left to right and m>0?
1 -2 -3
postiive slope
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

3. What is the slope of a perpendicular line?
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points
negative inverse
Piecewise

4. What is the domain of a square root function?
f of g and g of f
Change in y / change in x = rise / run = y2-y1 / x2-x1
because the demintor of a quotient can never equal zero
[0 -+infinity)

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

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6. What is the vertex?
A line passing through two distinct points
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
1 -2 -3

7. Is an identity function even - odd or neither?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
same
odd

8. $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?
perpendicular line
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
The slope of a line containing two points
f(x)=IxI

9. What is the range for a standard quadratic function?
45 degree angle
f(x)=+c and f(x)-c
horizontal
(-infinity - 0]U[0 - +infinity)

10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
odd
The secant line
Y=IxI
perpendicular line

11. Of the seven of algebra's common graph's how many are even?
45 degree angle
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?

12. Draw or discuss a decreasing function
x math 3 graph
[0 -+infinity)
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x

13. What is the slope intercept formula? Define all the variables.
A line passing through two distinct points
(-infinity - +infinity)
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. x= a real number is what type of equation?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined
Conditional

15. x=no real numbers is what type of an 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.
undefined
Y=10

16. Is an absolute value function even - odd or neither?
perpendicular line
x = the original sale price and the formula is x - .40x =$276
neither
even

17. A flat line underlining one vertical line is a symbol for
perpendicular line
(-infinity - +infinity)
negative slope
(-infinity - +infinity)

18. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
even

19. What type of slope do vertical lines have?
undefined
(-infinity - 0]U[0 - +infinity)
identity
parraelle line

20. Which direction does f(x)=+c move in standard absolute value formula?
up
Equation of a line
parabola
(-infinity - 0]U[0 - +infinity)

21. What does the average rate of change formula solve?
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
The slope of a line containing two points
20+.05x=5+.10x x=minutes
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.

22. What does the square root function look like on a graph?
down
2nd key - x^2 - graph
(-infinity - +infinity)
Line ascending to the right gradually

23. What does the standard cubic function look like on a graph?
45 degree angle
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph

24. What are two examples of composit functions?
x = the original sale price and the formula is x - .40x =$276
f of g and g of f
Absolute Value - Constant and Standard Quadratic
Three odd - cube root - identity - standard cubic

25. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
f of g and g of f
The secant line
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.

26. What is the horizontal line formula?
parabola
even
Y=b
(-infinity - +infinity)

27. What is the point slope formula and when do you use it?
45 degree angle
[0 -+infinity)
C>1 - horizontal shrinking
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. How are functions normally written?
As equations
Y=x^2 - graph
math 4 x - graph
Conditional

29. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
horizontal
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
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
parraelle line

30. What is the formula for the cube root function?
[0 -+infinity)
horizontal left
f(x)=3 square root x
Square Root

31. What is the domain for a standard quadratic function?
Absolute Value - Constant and Standard Quadratic
45 degree angle
zero slope
(-infinity - +infinity)

32. 4(x-7)=4x+28 is what type of an equation?
inconsitent
f(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?

33. What type of function would you use to calculate the most advantageous cell phone plan?
The slope of a line containing two points
Piecewise
only one
f(x)=IxI

34. What is a function?
undefined slope
f(x)=x^3
no because you cannot have one domain pointing at two y's or ranges
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. What is the average rate of change formula?
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?
f(x2)-f(x1) / x2-x1
parraelle line

36. Is the standard cubic function odd - even or neither?
odd
Three odd - cube root - identity - standard cubic
negative inverse
parabola

37. What does the graph of the cube root function look like on the graph?
Y
(-infinity - +infinity)
down
Approach neg toward x through zero and above positive close to x

38. What is the formula for to calculate the difference of a quotient function?
f(x+c) and f(x-c)
f(x+h)-f(x)/h h cannot equal zero
even
45 degree angle

39. What type of slope do you have when a line falls left to right and m<0?
0<c<1 - horizontal stretching
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
negative slope

40. Standard absolute value - horizontal shift formulas for left and right
Y
The slope of a line containing two points
undefined slope
f(x+c) and f(x-c)

41. What is another way to write f(x)=x - what type of function is this?
f(x^1)=f(x^2)
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
Y=x - identity function
f(x+c) and f(x-c)

42. y=f(cx) - what does this formula represent?
2nd key - x^2 - graph
Y= then enter the number then press graph
C>1 - horizontal shrinking
f(x+c) and f(x-c)

43. what is a range?
even
Y=IxI
The second set of components of an ordered pair
(-infinity - +infinity)

44. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
parabola - up one and right three
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.
(-infinity - 0]U[0 - +infinity)

45. How would this formula move f(x)=(x+1)^2-3
horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
parabola - up one and right three

46. What type of line is an identity function?
Yes because two x's or domains can point to one y
even
45 degree angle
inconsitent

47. f(x) = x^2+3x+5 - what type of formula is this?
C>1 - horizontal shrinking
Equation of a line
function notation
even

48. Is a constant function even - odd or neither?
even
Y=10
(-infinity - +infinity)
f of g and g of f

49. What shape is the standard quadratic function?
Piecewise
parabola
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1

50. What points do you use to plot the inverse on a graph?
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
identity
Square Root
The opposite coordinates