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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 the range of the constant function?
2nd catalog (zero key -) abs(x) - graph
odd
The single number y=
neither

2. Standard absolute value - horizontal shift formulas for left and right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
postiive slope

3. What is the range for an absolute value function?
A V
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x
Y= then enter the number then press graph

4. Draw or discuss an increasing function
parabola
The first set of components of an ordered pair
horizontal
Cannot be drawn in quizlet

5. 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?
f(x+h)-f(x)/h h cannot equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+c) and f(x-c)
Y

6. What is a relation?
Any set of ordered pairs
45 degree angle
Y
[0 -+infinity)

7. 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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
same
x is the hours to repair the boat. $1603-532=anwser/63 = x

8. What is the slope intercept formula? Define all the variables.
Absolute Value - Constant and Standard Quadratic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x^1)=f(x^2)
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

9. What does the average rate of change formula solve?
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
horizontal left
(-infinity - +infinity)

10. What is the domain of a square root function?
Mirror image neg quadrant to that of the positive quandrant
The secant line
Y=10
[0 -+infinity)

11. What direction does f(x)-c move in standard absolute value formula?
f(x)=+c and f(x)-c
down
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range

12. Is the square root function odd - even or neither?
neither
x = the original sale price and the formula is x - .40x =$276
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
Piecewise

13. What are the calculator instructions for the standard cubic function?
Conditional
When does a graph not define y as a function of x?
x math 3 graph
(-infinity - +infinity)

14. Draw or discuss a decreasing function
Any set of ordered pairs
[0 -+infinity)
Y=10
Cannot be drawn in quizlet

15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
The first set of components of an ordered pair

16. Is a constant function even - odd or neither?
0<c<1 - horizontal stretching
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
even

17. What is the range for a standard quadratic function?
Square Root
parabola
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x

18. What are the algebra of functions?
Yes because two x's or domains can point to one y
no because you cannot have one domain pointing at two y's or ranges
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x

19. 4x+5x=8x is what type of an equation?
even
Conditional
Any set of ordered pairs
odd

20. x=all real numbers is what type of an equation?
When does a graph not define y as a function of x?
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
identity
(-infinity - +infinity)

21. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Piecewise
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
Yes - all the domains points to one range

22. y=f(cx) - what does this formula represent?
Y
Piecewise
C>1 - horizontal shrinking
(-infinity - +infinity)

23. What does the absolute value function look like?
identity
f(x^1)=f(x^2)
A V
Square Root

24. When is the only time (-infinity - +infinity) is not the domain?
horizontal right
As equations
f(x)=+c and f(x)-c
in a quotient

25. Is a standard quadratic function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
function notation
even
Y

26. Is the standard cubic function odd - even or neither?
2nd key - x^2 - graph
odd
The single number y=
x=a

27. Of the seven of algebra's common graph's how many are neither?
The minimum or maximum points
f(x) = x
identity
Square Root

28. what is the letter used to represent slope?
Y=10
m
Y= then enter the number then press graph
The slope of a line containing two points

29. 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.
f(x) = x
negative inverse
Cannot be drawn in quizlet

30. What points do you use to plot the inverse on a graph?
The opposite coordinates
Conditional
2nd key - x^2 - graph
f(x)=3 square root x

31. What type of slope do you have when a line falls left to right and m<0?
The second set of components of an ordered pair
f of g and g of f
negative slope
horizontal

32. How do you calculate a constant function in your calculator?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Piecewise
0<c<1 - horizontal stretching
Y= then enter the number then press graph

33. Of the seven of algebra's common graph's how many are odd?
negative inverse
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic
45 degree angle

34. What is the point slope formula and when do you use it?
f(x) = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

35. What is an identity function?
even
Y=10
45 degree angle
C>1 - horizontal shrinking

36. f(x) = x^2+3x+5 - what type of formula is this?
function notation
even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)

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

38. What is the domain and range of a constant function?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x

39. What is a domain?
horizontal
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair

40. What shape is the standard quadratic function?
identity
The minimum or maximum points
parabola
f(x2)-f(x1) / x2-x1

41. What is the vertex?
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
only one
x^2

42. What is the formula in both horizontal stretching and horizontal shrinking?
The single number y=
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. What does the standard cubic function look like on a graph?
(f+g) - (f-g) - (fg) - (f/g) all of x
Mirror image neg quadrant to that of the positive quandrant
The single number y=
x = the original sale price and the formula is x - .40x =$276

44. What type of line is a constant function?
horizontal
The single number y=
(-infinity - +infinity)
only one

45. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
As equations
0<c<1 - horizontal stretching
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. What is the formula for an absolute value function?
f(x)=IxI
A V
even
(-infinity - +infinity)

47. What are the four steps for solving a linear equation?
Absolute Value - Constant and Standard Quadratic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x=a
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.

48. Of the seven of algebra's common graph's how many are even?
in a quotient
Absolute Value - Constant and Standard Quadratic
f(x)=suare root of x
Y=x^2 - graph

49. What does linear equation mean?
Equation of a line
The secant line
Any set of ordered pairs
identity

50. how many ranges can you have for each domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
up
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.
only one