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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 30 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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
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.
Cannot be drawn in quizlet
Square Root

2. What is a constant function?
f(x^1)=f(x^2)
The secant line
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.

3. What is the domain of the cube root function?
The opposite coordinates
The first set of components of an ordered pair
(-infinity - +infinity)
Y=10

4. What shape is the standard quadratic function?
(-infinity - +infinity)
parabola
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)

5. Is the standard cubic function odd - even or neither?
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.
odd
parraelle line
f(x)=x^3

6. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Set the x and y to zero and get the intercepts and then plot the points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
odd

7. Standard absolute value - horizontal shift formulas for left and right
f(x)=x^3
f(x)=suare root of x
f(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

8. What equation does every line have? Discuss the variables.
[0 -+infinity)
(-infinity - +infinity)
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 - +infinity)

9. What does the square root function look like on a graph?
Cannot be drawn in quizlet
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd

10. What is slope?
postiive slope
f(x2)-f(x1) / x2-x1
A line passing through two distinct points
parraelle line

11. How would this formula move f(x)=(x+1)^2-3
in a quotient
The slope of a line containing two points
parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant

12. What is the formula for the cube root function?
f(x)=3 square root x
parraelle line
When does a graph not define y as a function of x?
[0 -+infinity)

13. What are the steps for solving a word problem?
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parraelle line
A V

14. Standard absolute value - vertical shift formulas for positve and negative
The secant line
f(x)=+c and f(x)-c
inconsitent
When does a graph not define y as a function of x?

15. 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
Absolute Value - Constant and Standard Quadratic
parraelle line

16. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
4 -6 -9
Y
even

17. What does linear equation mean?
4 -6 -9
horizontal left
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

18. Which direction does f(x+c) move
neither
Cannot be drawn in quizlet
horizontal left
(-infinity - 0]U[0 - +infinity)

19. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line

20. What type of line is a constant function?
horizontal
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.
45 degree angle
(-infinity - 0]U[0 - +infinity)

21. In an identity function if f(10)=x than what is y?
Approach neg toward x through zero and above positive close to x
f(x+h)-f(x)/h h cannot equal zero
perpendicular line
Y=10

22. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
same
Three odd - cube root - identity - standard cubic

23. What are two examples of composit functions?
(-infinity - +infinity)
The slope of a line containing two points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f

24. What is the range for a standard quadratic function?
neither
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
inconsitent

25. What is the vertex?
When does a graph not define y as a function of x?
parabola - up one and right three
The minimum or maximum points
(-infinity - +infinity)

26. Is the square root function odd - even or neither?
Square Root
neither
45 degree angle
Cannot be drawn in quizlet

27. What are the four steps for finding the inverse of a function?
negative slope
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching

28. What is the horizontal line formula?
same
f(x)=IxI
Y=b
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

29. What is the domain for the standard cubic function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - 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
parraelle line

30. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal

31. What is the range of an identity function?
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

32. y=f(cx) what does this formula represent?
x2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching
postiive slope

33. What is the vertical line test?
x math 3 graph
The slope of a line containing two points
math 4 x - graph
When does a graph not define y as a function of x?

34. Is a constant function even - odd or neither?
even
parraelle line
x = the original sale price and the formula is x - .40x =$276
x=a

35. How do you calculate a constant function in your calculator?
f(x^1)=f(x^2)
math 4 x - graph
Y= then enter the number then press graph
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.

36. What type of slope do you have when a line falls left to right and m<0?
negative slope
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking
The minimum or maximum points

37. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
same
inconsitent
x math 3 graph

38. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola
even

39. What is the slope of a perpendicular line?
negative inverse
function notation
A V
4 -6 -9

40. what is a range?
perpendicular line
x = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair
(-infinity - +infinity)

41. What is the range of the constant function?
4 -6 -9
The single number y=
(-infinity - +infinity)
odd

42. What is the domain of an identity function?
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.
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
parabola

43. $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?
only one
horizontal right
(-infinity - 0]U[0 - +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

44. Is an absolute value function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
inconsistant
even
undefined slope

45. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
odd
x = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
parabola
Yes - all the domains points to one range
The single number y=
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

47. Is an identity function even - odd or neither?
inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph
odd

48. 4(x-7)=4x+28 is what type of an equation?
[0 -+infinity)
undefined
up
inconsitent

49. How are functions normally written?
only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
As equations

50. how many domains can you have pointing to one range?
As many as you like
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even
negative slope