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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 range for an absolute value function?
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
even

2. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
C>1 - horizontal shrinking
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

3. What is the domain for an absolute value function?
parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The second set of components of an ordered pair
(-infinity - +infinity)

4. What is the domain for a standard quadratic function?
odd
(-infinity - +infinity)
Any set of ordered pairs
When does a graph not define y as a function of x?

5. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
negative slope
(-infinity - +infinity)
As many as you like

6. What type of line is an identity function?
f(x+c) and f(x-c)
The opposite coordinates
45 degree angle
up

7. What does the average rate of change formula solve?
The slope of a line containing two points
The single number y=
Conditional
As many as you like

8. y=f(cx) - what does this formula represent?
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
x math 3 graph
undefined

9. What are the four steps for finding the inverse of a function?
undefined
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+c) and f(x-c)
f(x)=+c and f(x)-c

10. Draw or discuss a constant function
Y
Cannot be drawn in quizlet
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

11. y=f(cx) what does this formula represent?
zero slope
0<c<1 - horizontal stretching
perpendicular line
As many as you like

12. What equation does every line have? Discuss the variables.
Conditional
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
parraelle line

13. Is an identity function even - odd or neither?
odd
f(x) = x
2nd key - x^2 - graph
x=a

14. What is a domain?
undefined
Line ascending to the right gradually
The first set of components of an ordered pair
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. How do you calculate a constant function in your calculator?
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
Yes - all the domains points to one range

16. What is the domain and range of a constant function?
(-infinity - +infinity)
45 degree angle
Conditional
negative slope

17. What can we substitute for f(x)?
horizontal
horizontal
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1

18. Is a constant function even - odd or neither?
even
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.
C>1 - horizontal shrinking
Y=x - identity function

19. What is the standard quadratic function?
negative slope
parraelle line
x^2
even

20. What are the steps for solving a word problem?
parabola - up one and right three
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
no because you cannot have one domain pointing at two y's or ranges
inconsistant

21. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
even
f(x)=3 square root x
(f+g) - (f-g) - (fg) - (f/g) all of x

22. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
identity
Line ascending to the right gradually
Y=x^2 - graph

23. What is the formula for the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
f(x)=3 square root x
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

24. What are the four steps for solving a linear equation?
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.
postiive slope
Line ascending to the right gradually
Cannot be drawn in quizlet

25. Draw or discuss a decreasing function
up
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
f(x+c) and f(x-c)

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Conditional
x=a
(-infinity - +infinity)
1 -2 -3

27. What direction does f(x)-c move in standard absolute value formula?
A line passing through two distinct points
down
f(x^1)=f(x^2)
20+.05x=5+.10x x=minutes

28. What is another way of writing the absolute value function?
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)

29. When is the only time (-infinity - +infinity) is not the domain?
45 degree angle
identity
(-infinity - +infinity)
in a quotient

30. How are functions normally written?
As equations
Square Root
Yes because two x's or domains can point to one y
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

31. What is the domain for the standard cubic function?
A line passing through two distinct points
(-infinity - +infinity)
horizontal right
Cannot be drawn in quizlet

32. What is the slope of a perpendicular line?
in a quotient
negative inverse
f(x^1)=f(x^2)
x math 3 graph

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
even
The secant line
Square Root
Conditional

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=b
Mirror image neg quadrant to that of the positive quandrant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

35. Two vertical lines side by side are a symbol for what
Any set of ordered pairs
parraelle line
The second set of components of an ordered pair
A V

36. what is the letter used to represent slope?
no because you cannot have one domain pointing at two y's or ranges
m
The second set of components of an ordered pair
identity

37. x= a real number is what type of equation?
x = the original sale price and the formula is x - .40x =$276
Y
math 4 x - graph
Conditional

38. Of the seven of algebra's common graph's how many are even?
(-infinity - 0]U[0 - +infinity)
postiive slope
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet

39. what is a range?
(-infinity - +infinity)
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
The second set of components of an ordered pair

40. What is the formula for the standard cubic function?
f(x)=x^3
(-infinity - +infinity)
(-infinity - +infinity)
odd

41. What is the slope intercept formula? Define all the variables.
Square Root
x = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What does the absolute value function look like?
zero slope
A V
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

43. What is slope?
f(x) = x
A line passing through two distinct points
4 -6 -9
The opposite coordinates

44. What is the formula for the square root function?
x^2
f(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic

45. What is an identity function?
f(x)=+c and f(x)-c
f(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
45 degree angle

46. Of the seven of algebra's common graph's how many are neither?
f(x)=IxI
because the demintor of a quotient can never equal zero
Square Root
Mirror image neg quadrant to that of the positive quandrant

47. What is the range of an identity function?
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)
A line passing through two distinct points

48. 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
Yes - all the domains points to one range

49. What is a constant function?
(-infinity - +infinity)
function notation
f(x^1)=f(x^2)
parabola - up one and right three

50. What is the range for the standard cubic function?
function notation
Y
C>1 - horizontal shrinking
(-infinity - +infinity)