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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. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
A V
Conditional
Piecewise

2. What is the domain for the standard cubic function?
identity
even
The secant line
(-infinity - +infinity)

3. What points do you use to plot the inverse on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
undefined slope
Equation of a line

4. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x2-x1 because the demonaitor of a quotient can never equal zero
even
x=a

5. What is the range of an identity function?
f(x)=IxI
(-infinity - +infinity)
A V
zero slope

6. What is the formula for the standard cubic function?
0<c<1 - horizontal stretching
Yes - all the domains points to one range
horizontal
f(x)=x^3

7. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
only one
Piecewise
(-infinity - +infinity)

8. What are the steps for solving a word problem?
odd
The secant line
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)

9. Is the square root function odd - even or neither?
neither
When does a graph not define y as a function of x?
f(x)=x^3
Y=x^2 - graph

10. Which direction does f(x+c) move
perpendicular line
only one
20+.05x=5+.10x x=minutes
horizontal left

11. What is the horizontal line formula?
Y=IxI
(-infinity - +infinity)
Y=b
The slope of a line containing two points

12. 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
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.
undefined
The first set of components of an ordered pair

13. how many ranges can you have for each domain?
same
only one
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x

14. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
horizontal
x math 3 graph
2nd key - x^2 - graph

15. What shape is the standard quadratic function?
Y=x^2 - graph
A line passing through two distinct points
identity
parabola

16. Which direction does f(x-c) move
Y
f(x)=3 square root x
horizontal right
The first set of components of an ordered pair

17. What is slope?
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 - 0]U[0 - +infinity)
A line passing through two distinct points
horizontal

18. What type of line is an identity function?
same
45 degree angle
Line ascending to the right gradually
The single number y=

19. What is the domain of the cube root function?
Y=x - identity function
(-infinity - +infinity)
odd
same

20. What is a constant function?
f(x^1)=f(x^2)
odd
Absolute Value - Constant and Standard Quadratic
The single number y=

21. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
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
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph

22. What does the absolute value function look like?
odd
A V
no because you cannot have one domain pointing at two y's or ranges
odd

23. What are the calculator instructions for the standard cubic function?
even
zero slope
x math 3 graph
Y=x - identity function

24. What is the domain and range of a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
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.
(-infinity - +infinity)
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

25. what can never equal zero in the slope formula and why?
(-infinity - +infinity)
odd
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

26. How do you calculate a constant function in your calculator?
because the demintor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1
45 degree angle
Y= then enter the number then press graph

27. What are the calculator instructions for the cube root function?
math 4 x - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10
Y=x - identity function

28. Standard absolute value - vertical shift formulas for positve and negative
The second set of components of an ordered pair
f(x)=+c and f(x)-c
f(x)=suare root of x
0<c<1 - horizontal stretching

29. What type of function would you use to calculate the most advantageous cell phone plan?
undefined slope
20+.05x=5+.10x x=minutes
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. x=all real numbers is what type of an equation?
inconsistant
20+.05x=5+.10x x=minutes
identity
Approach neg toward x through zero and above positive close to x

31. What is the standard quadratic function?
[0 -+infinity)
Equation of a line
x^2
f(x+c) and f(x-c)

32. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
x=a
Mirror image neg quadrant to that of the positive quandrant

33. Is an identity function even - odd or neither?
Square Root
odd
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.
even

34. What is the formula for an identity function?
Mirror image neg quadrant to that of the positive quandrant
The secant line
Yes - all the domains points to one range
f(x) = x

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?
horizontal left
As equations
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

36. What are two examples of composit functions?
f of g and g of f
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276
f(x)=3 square root x

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

38. What type of slope do you have when m=? and the line is vertical?
same
undefined slope
Y=10
Y= then enter the number then press graph

39. how many domains can you have pointing to one range?
As many as you like
Cannot be drawn in quizlet
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points

40. 4(x-7)=4x-28 is what type of an equation?
identity
Any set of ordered pairs
The second set of components of an ordered pair
because the demintor of a quotient can never equal zero

41. What is the formula in both horizontal stretching and horizontal shrinking?
1 -2 -3
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x^1)=f(x^2)

42. What type of line is a constant function?
(-infinity - +infinity)
Y=b
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x

43. Of the seven of algebra's common graph's how many are odd?
Y=x - identity function
Y=10
45 degree angle
Three odd - cube root - identity - standard cubic

44. What are the calculator instructions for absolute value?
parabola
2nd catalog (zero key -) abs(x) - graph
horizontal right
[0 -+infinity)

45. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Piecewise
A V
horizontal left
20+.05x=5+.10x x=minutes

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

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47. what is the letter used to represent slope?
2nd catalog (zero key -) abs(x) - graph
m
x^2
Y=x^2 - graph

48. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
[0 -+infinity)
only one
x is the hours to repair the boat. $1603-532=anwser/63 = x

49. x=no real numbers is what type of an equation?
f(x^1)=f(x^2)
inconsistant
f(x)=x^3
Square Root

50. Draw or discuss a constant function
Cannot be drawn in quizlet
1 -2 -3
(-infinity - +infinity)
identity