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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 vertical line formula?
x=a
postiive slope
parabola - up one and right three
even

2. What are the four steps for finding the inverse of a function?
even
f(x)=3 square root x
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
horizontal left
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
x math 3 graph
45 degree angle

4. What is the formula for the cube root function?
(-infinity - +infinity)
odd
f(x)=3 square root x
same

5. 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
f(x) = x
undefined slope
C>1 - horizontal shrinking

6. What type of slope do vertical lines have?
undefined
f(x2)-f(x1) / x2-x1
x = the original sale price and the formula is x - .40x =$276
even

7. What shape is the standard quadratic function?
Cannot be drawn in quizlet
The second set of components of an ordered pair
As many as you like
parabola

8. What are the calculator instructions for a standard quadratic equation?
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero
Y=x^2 - graph

9. What are the calculator instructions for a square root function?
f(x+c) and f(x-c)
The first set of components of an ordered pair
2nd key - x^2 - graph
45 degree angle

10. x= a real number is what type of equation?
The minimum or maximum points
(-infinity - +infinity)
4 -6 -9
Conditional

11. Standard absolute value - vertical shift formulas for positve and negative
same
f(x)=+c and f(x)-c
Square Root
The slope of a line containing two points

12. Is an absolute value function even - odd or neither?
even
x^2
(-infinity - 0]U[0 - +infinity)
odd

13. What is another way of writing the absolute value function?
horizontal
Y=IxI
The minimum or maximum points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

14. Of the seven of algebra's common graph's how many are neither?
Square Root
parabola - up one and right three
45 degree angle
The single number y=

15. What is the range of the constant function?
even
even
horizontal
The single number y=

16. What type of slope do you have when the line is horizontal and m=0?
zero slope
even
perpendicular line
undefined slope

17. 4(x-7)=4x-28 is what type of an equation?
down
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]U[0 - +infinity)
identity

18. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
postiive slope
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x

19. Standard absolute value - horizontal shift formulas for left and right
zero slope
Conditional
parraelle line
f(x+c) and f(x-c)

20. Of the seven of algebra's common graph's how many are even?
in a quotient
Absolute Value - Constant and Standard Quadratic
m
x2-x1 because the demonaitor of a quotient can never equal zero

21. Is a constant function even - odd or neither?
even
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
(-infinity - +infinity)

22. Which direction does f(x)=+c move in standard absolute value formula?
up
The second set of components of an ordered pair
same
Three odd - cube root - identity - standard cubic

23. Is the square root function odd - even or neither?
inconsitent
Conditional
parabola
neither

24. What is the domain and range of a constant function?
(-infinity - +infinity)
Piecewise
Cannot be drawn in quizlet
down

25. Which direction does f(x+c) move
Approach neg toward x through zero and above positive close to x
math 4 x - graph
4 -6 -9
horizontal left

26. What does the average rate of change formula solve?
f of g and g of f
Y= then enter the number then press graph
horizontal left
The slope of a line containing two points

27. What type of slope do horizontal lines have?
identity
A line passing through two distinct points
same
As many as you like

28. Is an identity function even - odd or neither?
undefined slope
The secant line
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.

29. What is the range of an identity function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

30. What does linear equation mean?
f(x+h)-f(x)/h h cannot equal zero
Equation of a line
identity
(-infinity - +infinity)

31. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
horizontal right
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
x is the hours to repair the boat. $1603-532=anwser/63 = x

32. how many ranges can you have for each domain?
math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
only one

33. What is the domain of the cube root function?
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
horizontal
m
(-infinity - +infinity)

34. Why can h not equal zero in the difference of a quotient function formula?
horizontal
because the demintor of a quotient can never equal zero
x math 3 graph
Line ascending to the right gradually

35. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x=a
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

36. What does the graph of the cube root function look like on the graph?
odd
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
parraelle line

37. What is slope?
Y=b
because the demintor of a quotient can never equal zero
horizontal
A line passing through two distinct points

38. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
2nd key - x^2 - graph
horizontal

39. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)
perpendicular line

40. Is the standard cubic function odd - even or neither?
m
As equations
negative inverse
odd

41. What is the domain of an identity function?
(-infinity - +infinity)
The secant line
x math 3 graph
As many as you like

42. What are the steps for solving a word problem?
x2-x1 because the demonaitor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
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

43. Draw or discuss an increasing function
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

44. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
f(x) = x
same
(-infinity - +infinity)

45. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points
Y=x - identity function

46. 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
f(x^1)=f(x^2)
(-infinity - +infinity)
in a quotient

47. Draw or discuss a decreasing function
Cannot be drawn in quizlet
The second set of components of an ordered pair
f(x)=3 square root x
zero slope

48. What type of slope do you have when m=? and the line is vertical?
Y=x^2 - graph
Conditional
odd
undefined slope

49. What does the standard cubic function look like on a graph?
down
up
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant

50. What type of line is an identity function?
45 degree angle
f(x) = x
undefined
Y=10