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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.
Any set of ordered pairs
identity
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

2. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
in a quotient
[0 -+infinity)
20+.05x=5+.10x x=minutes
x^2

3. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
inconsitent
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle

4. What is the formula for the cube root function?
in a quotient
f(x)=3 square root x
x2-x1 because the demonaitor of a quotient can never equal zero
The single number y=

5. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
same
(-infinity - +infinity)
Y=x - identity function

6. Is an absolute value function even - odd or neither?
even
Conditional
inconsitent
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

7. What is the vertex?
1 -2 -3
The minimum or maximum points
The secant line
20+.05x=5+.10x x=minutes

8. How are functions normally written?
As equations
odd
Yes because two x's or domains can point to one y
identity

9. What type of line is an identity function?
parraelle line
Y=10
45 degree angle
(-infinity - +infinity)

10. What is the domain for a standard quadratic function?
undefined
identity
Y
(-infinity - +infinity)

11. What are the steps for solving a word problem?
The single number y=
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
f(x+c) and f(x-c)

12. Draw or discuss a constant function
Cannot be drawn in quizlet
Y= then enter the number then press graph
(-infinity - +infinity)
(-infinity - +infinity)

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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+h)-f(x)/h h cannot equal zero
The secant line
Absolute Value - Constant and Standard Quadratic

14. What does the absolute value function look like?
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
A V
negative inverse

15. Which direction does f(x)=+c move in standard absolute value formula?
parraelle line
Y= then enter the number then press graph
up
only one

16. Is a constant function even - odd or neither?
4 -6 -9
even
negative inverse
The second set of components of an ordered pair

17. A flat line underlining one vertical line is a symbol for
zero slope
0<c<1 - horizontal stretching
[0 -+infinity)
perpendicular line

18. How would this formula move f(x)=(x+1)^2-3
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
parabola - up one and right three
f(x^1)=f(x^2)
f(x)=x^3

19. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
The single number y=
no because you cannot have one domain pointing at two y's or ranges
postiive slope

20. 4x+5x=8x is what type of an equation?
As equations
Conditional
x^2
in a quotient

21. What is the formula for to calculate the difference of a quotient function?
negative slope
f(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair
down

22. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
in a quotient
odd
(-infinity - 0]U[0 - +infinity)

23. What is a relation?
Any set of ordered pairs
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair

24. What is a constant function?
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x^1)=f(x^2)
(-infinity - +infinity)

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

26. x=no real numbers is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
same
inconsistant
perpendicular line

27. What are the algebra of functions?
no because you cannot have one domain pointing at two y's or ranges
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal
(-infinity - +infinity)

28. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
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+c) and f(x-c)
no because you cannot have one domain pointing at two y's or ranges

29. What is the standard quadratic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2
only one
negative inverse

30. What is the range for a standard quadratic function?
x=a
C>1 - horizontal shrinking
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]U[0 - +infinity)

31. Why can h not equal zero in the difference of a quotient function formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4 -6 -9
because the demintor of a quotient can never equal zero
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.

32. What is a domain?
same
The first set of components of an ordered pair
undefined slope
20+.05x=5+.10x x=minutes

33. In an identity function if f(10)=x than what is 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.
Yes because two x's or domains can point to one y
Y=10
Square Root

34. What is the range of the constant function?
(-infinity - +infinity)
Y=x^2 - graph
function notation
The single number y=

35. What is the domain of an identity function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=suare root of x
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
(-infinity - +infinity)

36. 4(x-7)=4x+28 is what type of an equation?
horizontal right
horizontal
inconsitent
negative slope

37. 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
A line passing through two distinct points
up
x=a

38. What are the four steps for solving a linear equation?
even
f(x2)-f(x1) / x2-x1
20+.05x=5+.10x x=minutes
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.

39. how many ranges can you have for each domain?
f(x+h)-f(x)/h h cannot equal zero
Y=IxI
only one
Mirror image neg quadrant to that of the positive quandrant

40. y=f(cx) what does this formula represent?
inconsistant
horizontal
0<c<1 - horizontal stretching
Approach neg toward x through zero and above positive close to x

41. What is the range for the standard cubic function?
(-infinity - +infinity)
odd
inconsistant
Mirror image neg quadrant to that of the positive quandrant

42. What type of line is a constant function?
in a quotient
horizontal
parabola
When does a graph not define y as a function of x?

43. how many domains can you have pointing to one range?
x=a
As many as you like
Cannot be drawn in quizlet
(-infinity - +infinity)

44. What is an identity function?
zero slope
The first set of components of an ordered pair
x=a
45 degree angle

45. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
f(x^1)=f(x^2)
Y=10
4 -6 -9
The minimum or maximum points

46. Which direction does f(x+c) move
horizontal left
Y=x^2 - graph
The first set of components of an ordered pair
Cannot be drawn in quizlet

47. 4(x-7)=4x-28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity
(-infinity - +infinity)
down

48. What is another way of writing the absolute value function?
negative slope
Y=b
Y=IxI
odd

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

50. Is the standard cubic function odd - even or neither?
odd
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x