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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 the slope intercept formula? Define all the variables.
Conditional
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

2. A flat line underlining one vertical line is a symbol for
parraelle line
perpendicular line
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking

3. 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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root
parabola

4. Draw or discuss a constant function
Cannot be drawn in quizlet
f(x)=x^3
down
parraelle line

5. What is another way to write f(x)=x - what type of function is this?
(-infinity - 0]U[0 - +infinity)
Y=x - identity function
Y=b
parabola

6. What are the calculator instructions for a square root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd key - x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal right

7. Is the standard cubic function odd - even or neither?
same
x=a
odd
4 -6 -9

8. What can we substitute for f(x)?
0<c<1 - horizontal stretching
Y
(-infinity - +infinity)
f(x)=suare root of x

9. Of the seven of algebra's common graph's how many are even?
parraelle line
parabola - up one and right three
Absolute Value - Constant and Standard Quadratic
no because you cannot have one domain pointing at two y's or ranges

10. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph
identity

11. What is the range for a standard quadratic function?
m
(-infinity - 0]U[0 - +infinity)
parabola - up one and right three
Equation of a line

12. What is the vertical line test?
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.
When does a graph not define y as a function of x?
Three odd - cube root - identity - standard cubic
parabola

13. What is the formula for the cube root function?
f(x) = x
Y= then enter the number then press graph
horizontal
f(x)=3 square root x

14. What is the domain and range of a constant function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Y=b

15. What is the range of the cube root function?
x2-x1 because the demonaitor of a quotient can never equal zero
Y=10
(-infinity - +infinity)
parabola

16. Which direction does f(x+c) move
Square Root
horizontal left
0<c<1 - horizontal stretching
Y=b

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
A line passing through two distinct points
parraelle line

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

19. Is an identity function even - odd or neither?
odd
Yes because two x's or domains can point to one y
Y= then enter the number then press graph
Y=x - identity function

20. What is slope?
odd
math 4 x - graph
A line passing through two distinct points
Cannot be drawn in quizlet

21. $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?
odd
(-infinity - +infinity)
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
neither

22. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
f(x) = x
f(x+h)-f(x)/h h cannot equal zero
odd

23. What is the range of the constant function?
Y=x^2 - graph
The single number y=
2nd key - x^2 - graph
odd

24. What is the range for the standard cubic function?
1 -2 -3
down
(-infinity - +infinity)
even

25. what is the formula for slope?
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise
horizontal left

26. Standard absolute value - vertical shift formulas for positve and negative
f(x+h)-f(x)/h h cannot equal zero
f(x)=3 square root x
Y=IxI
f(x)=+c and f(x)-c

27. how many ranges can you have for each domain?
only one
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

28. What does the average rate of change formula solve?
x^2
The slope of a line containing two points
perpendicular line
negative slope

29. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

30. What type of slope do vertical lines have?
(-infinity - +infinity)
As many as you like
undefined
f of g and g of f

31. What is the domain of a square root function?
function notation
Set the x and y to zero and get the intercepts and then plot the points
x^2
[0 -+infinity)

32. What is the range of an identity function?
Y=x^2 - graph
parabola
Cannot be drawn in quizlet
(-infinity - +infinity)

33. What is an identity function?
perpendicular line
45 degree angle
Equation of a line
Y=x - identity function

34. What type of slope do you have when m=? and the line is vertical?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet
undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. y=f(cx) what does this formula represent?
As many as you like
parabola
0<c<1 - horizontal stretching
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

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

37. What is the formula for an absolute value function?
When does a graph not define y as a function of x?
f(x)=IxI
f of g and g of f
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What is the slope of a perpendicular line?
Cannot be drawn in quizlet
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
negative inverse

39. What type of slope do you have when a line rises from left to right and m>0?
math 4 x - graph
because the demintor of a quotient can never equal zero
Yes - all the domains points to one range
postiive slope

40. What equation does every line have? Discuss the variables.
The second set of components of an ordered pair
parabola
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

41. What is another way of writing the absolute value function?
The secant line
Y=IxI
4 -6 -9
f(x^1)=f(x^2)

42. What does linear equation mean?
A V
Equation of a line
negative slope
perpendicular line

43. x=all real numbers is what type of an equation?
identity
45 degree angle
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.
Y=10

44. What is the horizontal line formula?
zero slope
Line ascending to the right gradually
Y= then enter the number then press graph
Y=b

45. What are the calculator instructions for the standard cubic function?
x math 3 graph
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
horizontal

46. How would this formula move f(x)=(x+1)^2-3
x^2
odd
parabola - up one and right three
A line passing through two distinct points

47. 4(x-7)=4x-28 is what type of an equation?
neither
(-infinity - +infinity)
inconsistant
identity

48. What is the formula for to calculate the difference of a quotient function?
45 degree angle
f(x+h)-f(x)/h h cannot equal zero
Y=10
inconsitent

49. In an identity function if f(10)=x than what is y?
Y
(-infinity - +infinity)
Y=10
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 does the square root function look like on a graph?
The minimum or maximum points
Line ascending to the right gradually
undefined slope
f(x)=3 square root x