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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. Which direction does f(x+c) move
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
When does a graph not define y as a function of x?
horizontal left

2. 4(x-7)=4x-28 is what type of an equation?
identity
odd
(-infinity - +infinity)
The secant line

3. What type of line is a constant function?
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
horizontal
The second set of components of an ordered pair
As many as you like

4. What type of slope do you have when a line falls left to right and m<0?
negative slope
up
x=a
inconsitent

5. How are functions normally written?
As equations
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero

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

7. What is the formula for to calculate the difference of a quotient function?
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal right
f(x+h)-f(x)/h h cannot equal zero

8. What does the average rate of change formula solve?
f(x^1)=f(x^2)
The minimum or maximum points
The slope of a line containing two points
Line ascending to the right gradually

9. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
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.
(-infinity - +infinity)
undefined slope

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

11. In an identity function if f(10)=x than what is y?
Y=10
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
[0 -+infinity)

12. What are the calculator instructions for a standard quadratic equation?
horizontal right
Cannot be drawn in quizlet
f(x)=suare root of x
Y=x^2 - graph

13. Of the seven of algebra's common graph's how many are neither?
Y=x^2 - graph
f(x^1)=f(x^2)
Square Root
The secant line

14. What is the domain and range of a constant function?
45 degree angle
(-infinity - +infinity)
function notation
[0 -+infinity)

15. What are the steps for solving a word problem?
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
The second set of components of an ordered pair
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

16. What is a domain?
f(x)=x^3
The first set of components of an ordered pair
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1

17. What are the calculator instructions for the cube root function?
[0 -+infinity)
perpendicular line
math 4 x - graph
Y= then enter the number then press graph

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

19. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=x - identity function
1 -2 -3
(-infinity - +infinity)
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

20. What type of slope do vertical lines have?
The slope of a line containing two points
parabola
horizontal left
undefined

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

22. Is a standard quadratic function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
up

23. Standard absolute value - horizontal shift formulas for left and right
undefined slope
The second set of components of an ordered pair
f(x+c) and f(x-c)
horizontal left

24. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
f(x+h)-f(x)/h h cannot equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

25. What is the line called that illustrates the straight line between the two points when showing average rate of change?
zero slope
undefined
The secant line
Y=x^2 - graph

26. What is an identity function?
Line ascending to the right gradually
f(x+h)-f(x)/h h cannot equal zero
45 degree angle
neither

27. Is the square root function odd - even or neither?
same
(-infinity - +infinity)
neither
Conditional

28. What are the calculator instructions for the standard cubic function?
x math 3 graph
A line passing through two distinct points
up
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
Y
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

30. What is the horizontal line formula?
horizontal left
f(x)=suare root of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b

31. Is the standard cubic function odd - even or neither?
f(x+c) and f(x-c)
negative slope
odd
f(x) = x

32. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
f of g and g of f
horizontal
f(x)=3 square root x
4 -6 -9

33. What is the formula for the square root function?
f(x)=suare root of x
odd
As equations
f(x)=3 square root x

34. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
f(x^1)=f(x^2)
f(x+h)-f(x)/h h cannot equal zero

35. how many ranges can you have for each domain?
Line ascending to the right gradually
only one
Y=x - identity function
Y=10

36. What is the range for the standard cubic function?
function notation
only one
negative slope
(-infinity - +infinity)

37. Which direction does f(x)=+c move in standard absolute value formula?
horizontal right
Y
f(x)=+c and f(x)-c
up

38. Standard absolute value - vertical shift formulas for positve and negative
down
inconsitent
f(x)=+c and f(x)-c
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

39. What points do you use to plot the inverse on a graph?
The opposite coordinates
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x

40. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Square Root
parraelle line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

41. What is a relation?
Y=IxI
f of g and g of f
Any set of ordered pairs
math 4 x - graph

42. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

43. What are the four steps for solving a linear equation?
identity
2nd key - x^2 - graph
4 -6 -9
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. What is the domain of the cube root function?
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

45. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x) = x
Yes - all the domains points to one range
Absolute Value - Constant and Standard Quadratic
f(x)=3 square root x

46. 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
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. What is the formula for an absolute value function?
Cannot be drawn in quizlet
f(x)=IxI
inconsitent
2nd catalog (zero key -) abs(x) - graph

48. What type of slope do horizontal lines have?
same
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
because the demintor of a quotient can never equal zero
x2-x1 because the demonaitor of a quotient can never equal zero

49. What is the slope intercept formula? Define all the variables.
horizontal right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Conditional

50. what is the formula for slope?
down
Change in y / change in x = rise / run = y2-y1 / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero
even