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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 line is a constant function?
The secant line
As many as you like
Equation of a line
horizontal

2. What is the formula for an identity function?
even
neither
45 degree angle
f(x) = x

3. 4x+5x=8x is what type of an equation?
horizontal right
Conditional
As equations
1 -2 -3

4. Why can h not equal zero in the difference of a quotient function formula?
Y=x - identity function
because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
f(x2)-f(x1) / x2-x1

5. How would this formula move f(x)=(x+1)^2-3
[0 -+infinity)
Y=10
parabola - up one and right three
identity

6. What is the domain for a standard quadratic function?
f(x)=3 square root x
Equation of a line
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

7. What is another way of writing the absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
Y=IxI
because the demintor of a quotient can never equal zero

8. What is the domain of the cube root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd
The slope of a line containing two points
(-infinity - +infinity)

9. f(x) = x^2+3x+5 - what type of formula is this?
function notation
no because you cannot have one domain pointing at two y's or ranges
only one
because the demintor of a quotient can never equal zero

10. What is the slope intercept formula? Define all the variables.
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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

11. What points do you use to plot the inverse on a graph?
The opposite coordinates
f(x^1)=f(x^2)
function notation
A V

12. Is an absolute value function even - odd or neither?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
in a quotient
even
odd

13. What type of line is an identity function?
Y=x - identity function
45 degree angle
because the demintor of a quotient can never equal zero
f(x)=+c and f(x)-c

14. Draw or discuss a constant function
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
undefined slope
f(x)=suare root of x

15. What is the formula for to calculate the difference of a quotient function?
parabola
As many as you like
f(x+h)-f(x)/h h cannot equal zero
horizontal

16. What does the square root function look like on a 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
inconsitent
Conditional
Line ascending to the right gradually

17. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
The second set of components of an ordered pair
Yes because two x's or domains can point to one y
[0 -+infinity)

18. What is the domain of a square root 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.
function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)

19. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+h)-f(x)/h h cannot equal zero
When does a graph not define y as a function of x?
[0 -+infinity)

20. What are two examples of composit functions?
f of g and g of f
identity
negative inverse
20+.05x=5+.10x x=minutes

21. What is the horizontal line formula?
undefined
Y=b
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x

22. x=no real numbers is what type of an equation?
The opposite coordinates
x=a
undefined slope
inconsistant

23. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
horizontal left
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic

24. What is the domain of an identity function?
(-infinity - +infinity)
f(x)=+c and f(x)-c
1 -2 -3
x2-x1 because the demonaitor of a quotient can never equal zero

25. What is a relation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
parabola
Any set of ordered pairs

26. Is an identity function even - odd or neither?
odd
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
The slope of a line containing two points

27. How are functions normally written?
As equations
4 -6 -9
in a quotient
horizontal

28. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
parabola
(-infinity - +infinity)
(-infinity - +infinity)

29. Which direction does f(x-c) move
identity
horizontal right
(-infinity - +infinity)
45 degree angle

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-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
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. Draw or discuss a decreasing function
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
only one
same

32. Is the standard cubic function odd - even or neither?
x is the hours to repair the boat. $1603-532=anwser/63 = x
same
C>1 - horizontal shrinking
odd

33. What equation does every line have? Discuss the variables.
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.
As many as you like
0<c<1 - horizontal stretching
Y=x^2 - graph

34. What is the domain for an absolute value function?
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
(-infinity - +infinity)
When does a graph not define y as a function of x?
4 -6 -9

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?
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(x)=+c and f(x)-c
math 4 x - graph
x^2

36. What type of slope do you have when m=? and the line is vertical?
undefined slope
(-infinity - +infinity)
Y=10
Any set of ordered pairs

37. Two vertical lines side by side are a symbol for what
parraelle line
Approach neg toward x through zero and above positive close to 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
f(x+c) and f(x-c)

38. What is the formula for the cube root function?
f(x)=x^3
f(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What does the average rate of change formula solve?
The slope of a line containing two points
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. What are the algebra of functions?
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of x

41. What is an identity function?
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
even

42. What does the absolute value function look like?
Y=IxI
A V
The single number y=
45 degree angle

43. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
m
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
negative slope

44. What is the range of the constant function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
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
The single number y=

45. Is the square root function odd - even or neither?
neither
m
The single number y=
x=a

46. 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
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic

47. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
identity
The second 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.

48. What is the range of an identity function?
odd
math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

49. What is the range of a square root function?
Y=IxI
[0 -+infinity)
inconsitent
Approach neg toward x through zero and above positive close to x

50. What is the standard quadratic function?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
x^2
(-infinity - +infinity)