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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. How do you calculate a constant function in your calculator?
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.
undefined
Y= then enter the number then press graph
Equation of a line

2. Is the square root function odd - even or neither?
Cannot be drawn in quizlet
neither
(-infinity - +infinity)
(-infinity - +infinity)

3. What is the domain for the standard cubic function?
(-infinity - +infinity)
The opposite coordinates
Piecewise
f(x)=suare root of x

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

5. What is the horizontal line formula?
45 degree angle
parabola - up one and right three
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

6. What does the absolute value function look like?
f(x)=3 square root x
f(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
A V

7. What is the formula for the square root function?
f(x)=suare root of x
C>1 - horizontal shrinking
even
neither

8. What are the calculator instructions for the cube root function?
f(x)=IxI
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
math 4 x - graph
(-infinity - 0]U[0 - +infinity)

9. Two vertical lines side by side are a symbol for what
parraelle line
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
Piecewise

10. $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?
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 left
even
even

11. What is the domain for an absolute value function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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

12. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
f(x)=suare root of x
horizontal
identity

13. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
x^2
because the demintor of a quotient can never equal zero
x math 3 graph

14. What is the vertical line formula?
f of g and g of f
up
x=a
Yes because two x's or domains can point to one y

15. In an identity function if f(10)=x than what is y?
Y=10
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

16. What direction does f(x)-c move in standard absolute value formula?
down
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
x = the original sale price and the formula is x - .40x =$276

17. What is the range of a square root function?
[0 -+infinity)
2nd key - x^2 - graph
postiive slope
f(x) = x

18. Draw or discuss an increasing function
Y= then enter the number then press graph
function notation
(-infinity - +infinity)
Cannot be drawn in quizlet

19. what is the letter used to represent slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
m
f(x)=suare root of x
Absolute Value - Constant and Standard Quadratic

20. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-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
postiive slope

21. Draw or discuss a constant function
The minimum or maximum points
As many as you like
The first set of components of an ordered pair
Cannot be drawn in quizlet

22. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

23. f(x) = x^2+3x+5 - what type of formula is this?
function notation
because the demintor of a quotient can never equal zero
horizontal
Equation of a line

24. what is a range?
Y=b
even
The second set of components of an ordered pair
horizontal left

25. What is the domain of the cube root function?
As many as you like
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function

26. What type of slope do you have when m=? and the line is vertical?
undefined slope
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates

27. What is the formula for the standard cubic function?
x^2
f(x)=x^3
A line passing through two distinct points
only one

28. Draw or discuss a decreasing function
Cannot be drawn in quizlet
(-infinity - +infinity)
f(x^1)=f(x^2)
even

29. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The single number y=
f(x)=+c and f(x)-c

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

31. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A line passing through two distinct points
As equations
Conditional
The secant line

32. What is the formula for an absolute value function?
f(x2)-f(x1) / x2-x1
because the demintor of a quotient can never equal zero
f(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

33. What is the slope of a perpendicular line?
(-infinity - +infinity)
C>1 - horizontal shrinking
same
negative inverse

34. What type of slope do you have when a line rises from left to right and m>0?
undefined slope
Three odd - cube root - identity - standard cubic
inconsistant
postiive slope

35. how many domains can you have pointing to one range?
Conditional
odd
x math 3 graph
As many as you like

36. What is the range of the constant function?
identity
down
The single number y=
horizontal

37. Is a constant function even - odd or neither?
math 4 x - graph
function notation
even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

38. Which direction does f(x-c) move
Square Root
horizontal right
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic

39. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Yes - all the domains points to one range
C>1 - horizontal shrinking

40. What is the range of an identity function?
Conditional
(-infinity - +infinity)
parraelle line
even

41. What is the range of the cube root function?
(-infinity - +infinity)
Y=b
Square Root
2nd key - x^2 - graph

42. When is the only time (-infinity - +infinity) is not the domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
in a quotient
m
The second set of components of an ordered pair

43. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
perpendicular line
postiive slope
The single number y=

44. What is another way of writing the absolute value function?
Y=IxI
perpendicular line
f of g and g of f
undefined slope

45. Is a standard quadratic function even - odd or neither?
even
The slope of a line containing two points
identity
horizontal

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=b
1 -2 -3
x math 3 graph

47. What does the standard cubic function look like on a graph?
f(x) = x
Square Root
Y=IxI
Mirror image neg quadrant to that of the positive quandrant

48. What is the domain and range of a constant function?
(-infinity - +infinity)
zero slope
(-infinity - 0]U[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

49. What type of slope do horizontal lines have?
odd
(-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
same

50. Is an identity function even - odd or neither?
4 -6 -9
f(x2)-f(x1) / x2-x1
As many as you like
odd