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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 type of slope do vertical lines have?
The secant line
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x
undefined

2. 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?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
down
x is the hours to repair the boat. $1603-532=anwser/63 = x
x^2

3. What is the domain of a square root function?
f(x)=+c and f(x)-c
(-infinity - +infinity)
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

4. Standard absolute value - horizontal shift formulas for left and right
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+c) and f(x-c)
horizontal
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

5. f(x) = x^2+3x+5 - what type of formula is this?
x = the original sale price and the formula is x - .40x =$276
f of g and g of f
m
function notation

6. Of the seven of algebra's common graph's how many are even?
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
x^2
Yes - all the domains points to one range
Absolute Value - Constant and Standard Quadratic

7. In an identity function if f(10)=x than what is y?
Conditional
Y=10
Equation of a line
(-infinity - +infinity)

8. x=all real numbers is what type of an equation?
identity
(-infinity - 0]U[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd

9. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
inconsitent
f of g and g of f
x^2

10. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
postiive slope
Y=10
(-infinity - +infinity)

11. Two vertical lines side by side are a symbol for what
in a quotient
negative inverse
x is the hours to repair the boat. $1603-532=anwser/63 = x
parraelle line

12. What is the formula in both horizontal stretching and horizontal shrinking?
Cannot be drawn in quizlet
As many as you like
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

13. What are the calculator instructions for the standard cubic function?
x math 3 graph
Cannot be drawn in quizlet
undefined
(-infinity - 0]U[0 - +infinity)

14. What is the range for an absolute value function?
even
neither
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

15. What is the domain of the cube root function?
(-infinity - +infinity)
Y=10
inconsistant
function notation

16. What are the algebra of functions?
parraelle line
Any set of ordered pairs
x2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

17. What are the calculator instructions for a square root function?
(-infinity - +infinity)
2nd key - x^2 - graph
4 -6 -9
Y=10

18. how many ranges can you have for each domain?
Cannot be drawn in quizlet
negative inverse
only one
Y=x - identity function

19. y=f(cx) - what does this formula represent?
0<c<1 - horizontal stretching
C>1 - horizontal shrinking
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. What is the domain for the standard cubic function?
20+.05x=5+.10x x=minutes
1 -2 -3
(-infinity - +infinity)
f(x)=3 square root x

21. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
negative inverse
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 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. What are the steps for solving a word problem?
same
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

23. How are functions normally written?
As equations
f(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points

24. 4x+5x=8x is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
The slope of a line containing two points
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.

25. What is the domain for an absolute value function?
(-infinity - +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
f of g and g of f
m

26. y=f(cx) what does this formula represent?
x = the original sale price and the formula is x - .40x =$276
0<c<1 - horizontal stretching
A V
2nd key - x^2 - graph

27. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
no because you cannot have one domain pointing at two y's or ranges
Square Root
20+.05x=5+.10x x=minutes
As equations

28. What is the domain for a standard quadratic function?
Y=IxI
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
f(x+c) and f(x-c)

29. Draw or discuss a decreasing function
even
Cannot be drawn in quizlet
The secant line
The second set of components of an ordered pair

30. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
postiive slope
45 degree angle
Cannot be drawn in quizlet

31. What type of line is a constant function?
20+.05x=5+.10x x=minutes
horizontal
f(x) = x
even

32. What is a relation?
f(x+c) and f(x-c)
(-infinity - +infinity)
Line ascending to the right gradually
Any set of ordered pairs

33. what is a range?
The second set of components of an ordered pair
Y=x - identity function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

34. What is the formula for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Y=IxI
f(x)=x^3

35. $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?
no because you cannot have one domain pointing at two y's or ranges
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
Yes because two x's or domains can point to one y
x = the original sale price and the formula is x - .40x =$276

36. What is an identity function?
45 degree angle
(-infinity - +infinity)
Any set of ordered pairs
The slope of a line containing two points

37. Of the seven of algebra's common graph's how many are neither?
f(x)=x^3
Square Root
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(x)=IxI

38. What is the range of the constant function?
Mirror image neg quadrant to that of the positive quandrant
same
even
The single number y=

39. What type of slope do you have when a line falls left to right and m<0?
horizontal
postiive slope
negative slope
Yes - all the domains points to one range

40. What type of line is an identity function?
(-infinity - 0]U[0 - +infinity)
(-infinity - 0]U[0 - +infinity)
45 degree angle
(-infinity - +infinity)

41. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
even
parabola - up one and right three
f(x)=IxI

42. What are the calculator instructions for the cube root function?
math 4 x - graph
Piecewise
f(x^1)=f(x^2)
(-infinity - +infinity)

43. What is a function?
horizontal right
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd
parabola

44. x=no real numbers is what type of an equation?
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
inconsistant

45. What are the calculator instructions for a standard quadratic equation?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph
[0 -+infinity)

46. What is the formula for the cube root function?
A line passing through two distinct points
The single number y=
The slope of a line containing two points
f(x)=3 square root x

47. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
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.
Y=10
Any set of ordered pairs

48. What is a constant function?
f of g and g of f
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x^1)=f(x^2)
inconsitent

49. Which direction does f(x+c) move
Y=x^2 - graph
1 -2 -3
f(x+c) and f(x-c)
horizontal left

50. What is the line called that illustrates the straight line between the two points when showing average rate of change?
45 degree angle
horizontal
The secant line
Line ascending to the right gradually