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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. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
inconsistant
odd
(-infinity - +infinity)

2. What is the vertical line formula?
parabola
x=a
(-infinity - +infinity)
postiive slope

3. Which direction does f(x)=+c move in standard absolute value formula?
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
undefined slope
up
inconsitent

4. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Square Root
45 degree angle
m

5. What are the calculator instructions for the cube root function?
45 degree angle
(-infinity - +infinity)
Equation of a line
math 4 x - graph

6. What is the domain for a standard quadratic function?
undefined slope
Conditional
(-infinity - +infinity)
The minimum or maximum points

7. what is the formula for slope?
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1

8. What are the four steps for solving a linear equation?
Piecewise
Conditional
[0 -+infinity)
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.

9. What is the vertex?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x
The minimum or maximum points
horizontal right

10. y=f(cx) - what does this formula represent?
The slope of a line containing two points
C>1 - horizontal shrinking
math 4 x - graph
(-infinity - +infinity)

11. What type of line is a constant function?
Y=x^2 - graph
horizontal
Cannot be drawn in quizlet
45 degree angle

12. What type of line is a constant function?
horizontal
The single number y=
parabola
45 degree angle

13. What is the domain for the standard cubic function?
x math 3 graph
(-infinity - +infinity)
45 degree angle
f(x2)-f(x1) / x2-x1

14. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
function notation
Y
Y= then enter the number then press graph

15. What is a domain?
The first set of components of an ordered pair
x=a
math 4 x - graph
The opposite coordinates

16. What type of slope do you have when the line is horizontal and m=0?
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
45 degree angle
zero slope
(-infinity - +infinity)

17. What type of slope do you have when a line falls left to right and m<0?
As many as you like
4 -6 -9
negative slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

18. What is the formula for an absolute value function?
even
(-infinity - +infinity)
neither
f(x)=IxI

19. What is the range of the cube root function?
Y=b
45 degree angle
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

20. Why can h not equal zero in the difference of a quotient function formula?
horizontal left
because the demintor of a quotient can never equal zero
x math 3 graph
Y=IxI

21. 4x+5x=8x is what type of an equation?
The second set of components of an ordered pair
Y=10
Conditional
(-infinity - +infinity)

22. What is the range for a standard quadratic function?
The second set of components of an ordered pair
same
f(x)=IxI
(-infinity - 0]U[0 - +infinity)

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
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.
postiive slope
0<c<1 - horizontal stretching

24. What points do you use to plot the inverse on a graph?
45 degree angle
The opposite coordinates
1 -2 -3
m

25. Draw or discuss a decreasing function
Piecewise
Cannot be drawn in quizlet
Equation of a line
Y= then enter the number then press graph

26. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
4 -6 -9
20+.05x=5+.10x x=minutes
Yes because two x's or domains can point to one y
f of g and g of f

27. What is the formula in both horizontal stretching and horizontal shrinking?
(f+g) - (f-g) - (fg) - (f/g) all of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph

28. What type of slope do you have when a line rises from left to right and m>0?
Y
postiive slope
up
(-infinity - +infinity)

29. What is another way of writing the absolute value function?
m
f(x+c) and f(x-c)
Y=IxI
(-infinity - +infinity)

30. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
x=a
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

31. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph
The secant line
20+.05x=5+.10x x=minutes

32. What is the slope of a perpendicular line?
identity
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range
negative inverse

33. What is a relation?
horizontal
postiive slope
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant

34. 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
Y=b
postiive slope
down

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a 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
Yes - all the domains points to one range
up
Y=10

36. What is the domain of the cube root function?
(-infinity - +infinity)
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.
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet

37. What is the formula for the square root function?
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x
up
f(x)=suare root of x

38. What is a constant function?
horizontal
x = the original sale price and the formula is x - .40x =$276
no because you cannot have one domain pointing at two y's or ranges
f(x^1)=f(x^2)

39. What does linear equation mean?
f(x+h)-f(x)/h h cannot equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
same

40. What is the horizontal line formula?
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
down

41. Is the square root function odd - even or neither?
identity
f(x)=3 square root x
neither
in a quotient

42. What type of slope do you have when m=? and the line is vertical?
45 degree angle
odd
even
undefined slope

43. What is the range of the constant function?
The single number y=
A line passing through two distinct points
because the demintor of a quotient can never equal zero
no because you cannot have one domain pointing at two y's or ranges

44. What is the formula for to calculate the difference of a quotient function?
Conditional
f(x+h)-f(x)/h h cannot equal zero
When does a graph not define y as a function of x?
Three odd - cube root - identity - standard cubic

45. What is the formula for an identity function?
because the demintor of a quotient can never equal zero
x^2
When does a graph not define y as a function of x?
f(x) = x

46. 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?
identity
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Y=x - identity function

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

48. What does the square root function look like on a graph?
horizontal
Line ascending to the right gradually
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant

49. how many ranges can you have for each domain?
f(x) = x
x math 3 graph
Conditional
only one

50. What is the range of a square root function?
f(x)=x^3
Y=10
Cannot be drawn in quizlet
[0 -+infinity)