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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 a constant function?
f(x^1)=f(x^2)
f(x)=suare root of x
identity
The second set of components of an ordered pair

2. What does the standard cubic function look like on a graph?
45 degree angle
Conditional
f(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant

3. Of the seven of algebra's common graph's how many are neither?
2nd catalog (zero key -) abs(x) - graph
x^2
Square Root
postiive slope

4. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

5. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3
The first set of components of an ordered pair
(-infinity - +infinity)

6. Draw or discuss a constant function
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
same

7. What are two examples of composit functions?
f of g and g of f
f(x^1)=f(x^2)
f(x+c) and f(x-c)
Y=IxI

8. 4x+5x=8x is what type of an equation?
Conditional
f(x^1)=f(x^2)
horizontal right
Y=x^2 - graph

9. Which direction does f(x)=+c move in standard absolute value formula?
f(x)=+c and f(x)-c
up
Cannot be drawn in quizlet
A line passing through two distinct points

10. What are the calculator instructions for a standard quadratic equation?
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.
45 degree angle
Y=x^2 - graph
(-infinity - 0]U[0 - +infinity)

11. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
parraelle line
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

12. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
f(x)=3 square root x
inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

13. What is the vertex?
The minimum or maximum points
horizontal
f(x) = x
The slope of a line containing two points

14. What is the formula for an absolute value function?
2nd catalog (zero key -) abs(x) - graph
f(x)=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points

15. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
45 degree angle
f(x^1)=f(x^2)
identity

16. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x=a
f(x)=x^3
x2-x1 because the demonaitor of a quotient can never equal zero

17. what is the letter used to represent slope?
The secant line
m
(-infinity - +infinity)
C>1 - horizontal shrinking

18. What is the standard quadratic function?
x^2
f(x)=IxI
f(x) = x
The opposite coordinates

19. Standard absolute value - vertical shift formulas for positve and negative
The single number y=
f(x)=IxI
undefined slope
f(x)=+c and f(x)-c

20. In an identity function if f(10)=x than what is y?
The opposite coordinates
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
undefined slope

21. What are the steps for solving a word problem?
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
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

22. What type of slope do you have when a line rises from left to right and m>0?
x math 3 graph
postiive slope
neither
f(x+c) and f(x-c)

23. What shape is the standard quadratic function?
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.
parabola
down
same

24. What are the calculator instructions for absolute value?
f(x^1)=f(x^2)
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph
f(x)=+c and f(x)-c

25. What type of slope do horizontal lines have?
no because you cannot have one domain pointing at two y's or ranges
Conditional
zero slope
same

26. What is the domain of a square root function?
[0 -+infinity)
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
1 -2 -3
Y= then enter the number then press graph

27. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

28. What is the domain and range of a constant function?
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
The secant line

29. Two vertical lines side by side are a symbol for what
f(x)=IxI
(-infinity - +infinity)
parraelle line
x = the original sale price and the formula is x - .40x =$276

30. how many domains can you have pointing to one range?
[0 -+infinity)
odd
As many as you like
The minimum or maximum points

31. What is the domain of an identity function?
Square Root
When does a graph not define y as a function of x?
function notation
(-infinity - +infinity)

32. What is slope?
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line
Piecewise

33. x=all real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
identity
2nd key - x^2 - graph
function notation

34. f(x) = x^2+3x+5 - what type of formula is this?
function notation
x math 3 graph
Y
The minimum or maximum points

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

36. what is a range?
f of g and g of f
The second set of components of an ordered pair
horizontal right
Three odd - cube root - identity - standard cubic

37. What type of line is an identity function?
no because you cannot have one domain pointing at two y's or ranges
Any set of ordered pairs
45 degree angle
[0 -+infinity)

38. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y
When does a graph not define y as a function of x?
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What is the formula for the cube root function?
zero slope
The minimum or maximum points
Conditional
f(x)=3 square root x

40. What is the range for the standard cubic function?
f(x) = x
perpendicular line
The second set of components of an ordered pair
(-infinity - +infinity)

41. Is an absolute value function even - odd or neither?
(-infinity - 0]U[0 - +infinity)
math 4 x - graph
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
even

42. Draw or discuss a decreasing function
postiive slope
(-infinity - 0]U[0 - +infinity)
Piecewise
Cannot be drawn in quizlet

43. What type of line is a constant function?
45 degree angle
Any set of ordered pairs
horizontal
perpendicular line

44. What is the formula for the square root function?
0<c<1 - horizontal stretching
neither
f(x)=suare root of x
A V

45. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Y=x - identity function
As equations
(f+g) - (f-g) - (fg) - (f/g) all of x

46. What does linear equation mean?
(-infinity - 0]U[0 - +infinity)
Equation of a line
Yes - all the domains points to one range
f(x+c) and f(x-c)

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

48. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=suare root of x
in a quotient
2nd catalog (zero key -) abs(x) - graph

49. What is the horizontal line formula?
(-infinity - +infinity)
Y=b
undefined slope
parabola - up one and right three

50. What is the vertical line formula?
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x=a
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse