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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
down
neither
The opposite coordinates

2. What is the vertical line test?
A line passing through two distinct points
When does a graph not define y as a function of x?
odd
only one

3. What is another way of writing the absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations
Y=IxI
A V

4. What is a function?
(-infinity - +infinity)
same
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
perpendicular line

5. y=f(cx) - what does this formula represent?
1 -2 -3
C>1 - horizontal shrinking
negative slope
Line ascending to the right gradually

6. What is the formula for to calculate the difference of a quotient function?
f(x) = x
negative 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
f(x+h)-f(x)/h h cannot equal zero

7. 4(x-7)=4x+28 is what type of an equation?
undefined
inconsitent
Cannot be drawn in quizlet
Y= then enter the number then press graph

8. What is the vertical line formula?
The minimum or maximum points
f(x2)-f(x1) / x2-x1
x=a
(-infinity - +infinity)

9. What is the vertex?
When does a graph not define y as a function of x?
f(x)=x^3
The minimum or maximum points
Any set of ordered pairs

10. What type of line is an identity function?
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
The single number y=
in a quotient

11. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(-infinity - +infinity)
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes
postiive slope

12. What equation does every line have? Discuss the variables.
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Any set of ordered pairs
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.

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

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14. Draw or discuss a decreasing function
(-infinity - +infinity)
f(x+c) and f(x-c)
Y
Cannot be drawn in quizlet

15. 4x+5x=8x is what type of an equation?
C>1 - horizontal shrinking
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

16. x= a real number is what type of equation?
horizontal left
even
45 degree angle
Conditional

17. $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?
(-infinity - +infinity)
Yes - all the domains points to one range
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

18. what can never equal zero in the slope formula and why?
f(x^1)=f(x^2)
x2-x1 because the demonaitor of a quotient can never equal zero
odd
The secant line

19. Is an absolute value function even - odd or neither?
A line passing through two distinct points
inconsitent
When does a graph not define y as a function of x?
even

20. Which direction does f(x-c) move
f(x+c) and f(x-c)
horizontal right
(-infinity - +infinity)
postiive slope

21. What type of slope do you have when the line is horizontal and m=0?
As equations
Cannot be drawn in quizlet
zero slope
parabola - up one and right three

22. How are functions normally written?
Y=x^2 - graph
odd
horizontal
As equations

23. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
down
parabola
The opposite coordinates

24. What is the formula for an absolute value function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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)=IxI
down

25. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
A V
f(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x

26. What are two examples of composit functions?
f of g and g of f
in a quotient
The first set of components of an ordered pair
perpendicular line

27. What are the algebra of functions?
horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x) = x
even

28. y=f(cx) what does this formula represent?
Cannot be drawn in quizlet
Equation of a line
0<c<1 - horizontal stretching
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What is the domain and range of a constant function?
f(x2)-f(x1) / x2-x1
[0 -+infinity)
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

30. Is the square root function odd - even or neither?
odd
neither
Y=b
identity

31. x=no real numbers is what type of an equation?
(-infinity - +infinity)
inconsistant
postiive slope
20+.05x=5+.10x x=minutes

32. What does linear equation mean?
Conditional
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
Y=IxI
Equation of a line

33. What direction does f(x)-c move in standard absolute value formula?
odd
down
Yes because two x's or domains can point to one y
x2-x1 because the demonaitor of a quotient can never equal zero

34. Draw or discuss an increasing function
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
As many as you like
1 -2 -3

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
f(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair
45 degree angle

36. What is an identity function?
Y=b
45 degree angle
negative inverse
1 -2 -3

37. Standard absolute value - vertical shift formulas for positve and negative
function notation
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal left
f(x)=+c and f(x)-c

38. What are the calculator instructions for the cube root function?
math 4 x - graph
because the demintor of a quotient can never equal zero
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)=3 square root x

39. What does the standard cubic function look like on a graph?
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
negative inverse

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

41. What type of slope do horizontal lines have?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
same
0<c<1 - horizontal stretching

42. What is the range of the constant function?
Approach neg toward x through zero and above positive close to x
neither
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=

43. x=all real numbers is what type of an equation?
(-infinity - +infinity)
even
identity
Cannot be drawn in quizlet

44. What shape is the standard quadratic function?
parabola
horizontal
Cannot be drawn in quizlet
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

45. What does the average rate of change formula solve?
Y=x^2 - graph
The secant line
The slope of a line containing two points
f(x) = x

46. What is the formula in both horizontal stretching and 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
2nd key - x^2 - graph
Approach neg toward x through zero and above positive close to x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

47. What type of line is a constant function?
horizontal right
horizontal
Cannot be drawn in quizlet
[0 -+infinity)

48. What does the absolute value function look like?
f(x)=x^3
(-infinity - +infinity)
Y=10
A V

49. 4(x-7)=4x-28 is what type of an equation?
45 degree angle
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
Conditional

50. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
f(x)=+c and f(x)-c
odd
4 -6 -9
As many as you like