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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 another way of writing the absolute value function?
0<c<1 - horizontal stretching
Y=IxI
Equation of a line
1 -2 -3

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

3. Draw or discuss a constant function
Cannot be drawn in quizlet
postiive slope
The opposite coordinates
f of g and g of f

4. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
parraelle line
Y= then enter the number then press graph
(-infinity - +infinity)

5. What is the vertical line formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
inconsistant
f(x^1)=f(x^2)
x=a

6. Two vertical lines side by side are a symbol for what
x math 3 graph
(-infinity - +infinity)
1 -2 -3
parraelle line

7. What does the graph of the cube root function look like on the graph?
x=a
odd
Approach neg toward x through zero and above positive close to x
The slope of a line containing two points

8. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x) = x
Mirror image neg quadrant to that of the positive quandrant
x = the original sale price and the formula is x - .40x =$276
even

9. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?
f of g and g of f
The opposite coordinates

10. What is the point slope formula and when do you use it?
zero slope
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y

11. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
negative slope
x2-x1 because the demonaitor of a quotient can never equal zero
x=a
4 -6 -9

12. What is the range for the standard cubic function?
up
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)
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What is the average rate of change formula?
(-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
f(x2)-f(x1) / x2-x1
down

14. What is the formula for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=IxI
(-infinity - +infinity)
When does a graph not define y as a function of x?

15. What are the calculator instructions for the cube root function?
math 4 x - graph
zero slope
f(x+c) and f(x-c)
f(x)=3 square root x

16. Which direction does f(x+c) move
Y=x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
horizontal left

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

18. Is a standard quadratic function even - odd or neither?
(-infinity - 0]U[0 - +infinity)
f(x^1)=f(x^2)
even
identity

19. What is an identity function?
The opposite coordinates
45 degree angle
f(x^1)=f(x^2)
postiive slope

20. Is an absolute value function even - odd or neither?
f(x)=suare root of x
horizontal right
even
As equations

21. x=no real numbers is what type of an equation?
f(x)=3 square root x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsistant
The opposite coordinates

22. What is the domain for the standard cubic function?
parabola
(-infinity - +infinity)
4 -6 -9
perpendicular line

23. What equation does every line have? Discuss the variables.
The single number y=
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.
odd
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

24. What is the range of a square root function?
[0 -+infinity)
x=a
As equations
Conditional

25. What type of line is an identity function?
45 degree angle
f(x+c) and f(x-c)
As many as you like
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

26. What does linear equation mean?
1 -2 -3
f(x)=x^3
Equation of a line
horizontal left

27. What is a domain?
The first set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal
2nd catalog (zero key -) abs(x) - graph

28. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
2nd key - x^2 - graph
As equations
x2-x1 because the demonaitor of a quotient can never equal zero

29. What are two examples of composit functions?
postiive slope
Conditional
f of g and g of f
Equation of a line

30. What is the range of the cube root function?
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

31. A flat line underlining one vertical line is a symbol for
f(x+h)-f(x)/h h cannot equal zero
perpendicular line
Three odd - cube root - identity - standard cubic
Y=10

32. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Equation of a line
20+.05x=5+.10x x=minutes
math 4 x - graph
negative slope

33. What is the domain for an absolute value function?
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

34. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
Y=x - identity function
f(x)=+c and f(x)-c
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

35. What direction does f(x)-c move in standard absolute value formula?
down
postiive slope
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276

36. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
inconsistant
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Cannot be drawn in quizlet
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.
(f+g) - (f-g) - (fg) - (f/g) all of x

38. how many domains can you have pointing to one range?
f(x)=x^3
As many as you like
Y=x^2 - graph
Y=10

39. What is the domain for a standard quadratic function?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair

40. Draw or discuss an increasing 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
Cannot be drawn in quizlet
undefined slope
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.

41. What type of slope do you have when the line is horizontal and m=0?
Cannot be drawn in quizlet
Any set of ordered pairs
inconsistant
zero slope

42. y=f(cx) - what does this formula represent?
f(x)=3 square root x
horizontal
Piecewise
C>1 - horizontal shrinking

43. What is the range for an absolute value function?
math 4 x - graph
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range

44. What is a relation?
45 degree angle
Any set of ordered pairs
f(x)=suare root of x
Y= then enter the number then press graph

45. y=f(cx) what does this formula represent?
A line passing through two distinct points
parabola - up one and right three
0<c<1 - horizontal stretching
only one

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Yes - all the domains points to one range

47. 4(x-7)=4x+28 is what type of an equation?
inconsitent
horizontal
identity
(-infinity - 0]U[0 - +infinity)

48. What is the domain and range of a constant function?
2nd key - x^2 - graph
Cannot be drawn in quizlet
(-infinity - +infinity)
negative slope

49. How are functions normally written?
45 degree angle
As equations
(f+g) - (f-g) - (fg) - (f/g) all 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

50. What is the standard quadratic function?
x^2
f(x)=+c and f(x)-c
Set the x and y to zero and get the intercepts and then plot the points
Equation of a line