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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 a range?
Square Root
The second set of components of an ordered pair
(-infinity - +infinity)
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

2. A flat line underlining one vertical line is a symbol for
inconsitent
perpendicular line
in a quotient
horizontal

3. What is the range for a standard quadratic function?
(-infinity - +infinity)
down
neither
(-infinity - 0]U[0 - +infinity)

4. What does the square root function look like on a graph?
Line ascending to the right gradually
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
negative slope

5. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
no because you cannot have one domain pointing at two y's or ranges
4 -6 -9
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.

6. What type of line is a constant function?
When does a graph not define y as a function 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 - 0]U[0 - +infinity)
horizontal

7. What is the formula for the square root function?
f(x)=suare root of x
f(x)=x^3
f(x)=+c and f(x)-c
The slope of a line containing two points

8. Draw or discuss an increasing function
Cannot be drawn in quizlet
inconsistant
f(x)=suare root of x
Y=10

9. 4x+5x=8x is what type of an equation?
Absolute Value - Constant and Standard Quadratic
in a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional

10. Draw or discuss a decreasing function
Yes - all the domains points to one range
Cannot be drawn in quizlet
The second set of components of an ordered pair
negative inverse

11. Which direction does f(x-c) move
(-infinity - 0]U[0 - +infinity)
horizontal right
Y=10
2nd catalog (zero key -) abs(x) - graph

12. What type of line is a constant function?
0<c<1 - horizontal stretching
horizontal
(-infinity - 0]U[0 - +infinity)
Y=b

13. In an identity function if f(10)=x than what is y?
Y=10
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

14. What does the graph of the cube root function look like on the graph?
f(x)=3 square root x
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs
same

15. What is the formula for the cube root function?
Conditional
odd
horizontal
f(x)=3 square root x

16. how many domains can you have pointing to one range?
odd
A V
As many as you like
2nd key - x^2 - graph

17. What does the standard cubic function look like on a graph?
undefined
m
Conditional
Mirror image neg quadrant to that of the positive quandrant

18. What is the formula for an absolute value function?
horizontal right
no because you cannot have one domain pointing at two y's or ranges
odd
f(x)=IxI

19. What does the average rate of change formula solve?
As equations
Any set of ordered pairs
The slope of a line containing two points
odd

20. What are the calculator instructions for the cube root function?
horizontal
math 4 x - graph
Square Root
identity

21. What is an identity function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
45 degree angle
Y=x - identity function

22. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The first set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x
1 -2 -3
perpendicular line

23. What is the standard quadratic function?
perpendicular line
down
x^2
45 degree angle

24. What is the slope intercept formula? Define all the variables.
negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A V
20+.05x=5+.10x x=minutes

25. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
parabola - up one and right three
Y=x^2 - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

26. $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?
Cannot be drawn in quizlet
As many as you like
As equations
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

27. What is the horizontal line formula?
Y=b
[0 -+infinity)
C>1 - horizontal shrinking
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

28. What is the domain of the cube root function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
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
f of g and g of f

29. What type of function would you use to calculate the most advantageous cell phone plan?
up
The slope of a line containing two points
Piecewise
identity

30. What is the average rate of change formula?
Equation of a line
in a quotient
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic

31. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
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
postiive slope

32. What is the formula for an 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
f(x+c) and f(x-c)
f(x) = x
function notation

33. Is an identity function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
odd
The single number y=
f(x^1)=f(x^2)

34. What is another way of writing the absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
Y=IxI
Absolute Value - Constant and Standard Quadratic

35. Of the seven of algebra's common graph's how many are neither?
Approach neg toward x through zero and above positive close to x
45 degree angle
C>1 - horizontal shrinking
Square Root

36. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
down
Cannot be drawn in quizlet
The opposite coordinates

37. What is a constant function?
same
f(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x
m

38. What is the range of the constant function?
parabola - up one and right three
45 degree angle
The single number y=
[0 -+infinity)

39. What points do you use to plot the inverse on a graph?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
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)

40. How are functions normally written?
As equations
[0 -+infinity)
f of g and g of f
The first set of components of an ordered pair

41. Standard absolute value - horizontal shift formulas for left and right
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+c) and f(x-c)
The single number y=
m

42. Is a standard quadratic function even - odd or neither?
even
postiive slope
x^2
parabola - up one and right three

43. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
postiive slope
f(x)=3 square root x

44. y=f(cx) - what does this formula represent?
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking
f(x^1)=f(x^2)
negative slope

45. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
because the demintor of a quotient can never equal zero
x = the original sale price and the formula is x - .40x =$276

46. What is a relation?
Any set of ordered pairs
zero slope
inconsistant
f of g and g of f

47. Of the seven of algebra's common graph's how many are odd?
horizontal left
A V
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph

48. 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)=+c and f(x)-c
C>1 - horizontal shrinking
up

49. What are two examples of composit functions?
The opposite coordinates
Set the x and y to zero and get the intercepts and then plot the points
f of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x

50. What type of line is an identity function?
[0 -+infinity)
Yes because two x's or domains can point to one y
As many as you like
45 degree angle