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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 does the graph of the cube root function look like on the graph?
20+.05x=5+.10x x=minutes
even
Approach neg toward x through zero and above positive close to x
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

2. What is the range of a square root function?
[0 -+infinity)
Any set of ordered pairs
horizontal left
f(x)=suare root of x

3. What is another way to write f(x)=x - what type of function is this?
Approach neg toward x through zero and above positive close to x
The opposite coordinates
Y=x - identity function
The slope of a line containing two points

4. What is the formula for the square root function?
f(x)=suare root of x
45 degree angle
undefined
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.

5. Which direction does f(x-c) move
horizontal
parraelle line
Three odd - cube root - identity - standard cubic
horizontal right

6. what is a range?
f(x)=3 square root 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.
The second set of components of an ordered pair
Any set of ordered pairs

7. 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
only one
Any set of ordered pairs
up

8. Draw or discuss a constant function
inconsistant
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
Cannot be drawn in quizlet

9. What is the formula for an identity function?
odd
f(x) = x
Line ascending to the right gradually
f(x2)-f(x1) / x2-x1

10. what is the letter used to represent slope?
The single number y=
m
(-infinity - +infinity)
(-infinity - +infinity)

11. What is the slope intercept formula? Define all the variables.
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
f(x)=+c and f(x)-c

12. What are the algebra of functions?
identity
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

13. what is the formula for slope?
(-infinity - +infinity)
horizontal right
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

14. What is the formula for to calculate the difference of a quotient function?
x=a
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic

15. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Conditional
f(x)=IxI
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. What is the point slope formula and when do you use it?
[0 -+infinity)
perpendicular line
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

17. 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
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
When does a graph not define y as a function of x?

18. What is slope?
As many as you like
f of g and g of f
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x

19. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
As equations
x = the original sale price and the formula is x - .40x =$276
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.

20. x=no real numbers is what type of an equation?
identity
f(x)=IxI
Y
inconsistant

21. 4x+5x=8x is what type of an equation?
neither
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise
Conditional

22. What is the domain and range of a constant function?
Mirror image neg quadrant to that of the positive quandrant
same
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 - +infinity)

23. What is the range of the constant function?
The single number y=
f(x) = x
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant

24. what can never equal zero in the slope formula and why?
45 degree angle
Equation of a line
x2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range

25. Draw or discuss a decreasing function
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
(f+g) - (f-g) - (fg) - (f/g) all of x

26. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
horizontal
Square Root
When does a graph not define y as a function of x?
x = the original sale price and the formula is x - .40x =$276

27. What type of slope do you have when a line falls left to right and m<0?
zero slope
negative slope
function notation
The opposite coordinates

28. Is the standard cubic function odd - even or neither?
f(x)=3 square root x
odd
Cannot be drawn in quizlet
Square Root

29. What type of function would you use to calculate the most advantageous cell phone plan?
Conditional
1 -2 -3
A V
Piecewise

30. What direction does f(x)-c move in standard absolute value formula?
math 4 x - graph
(-infinity - +infinity)
down
Conditional

31. What is the domain for a standard quadratic function?
same
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line
(-infinity - +infinity)

32. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parabola - up one and right three
horizontal
f(x) = x

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

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34. What type of slope do horizontal lines have?
same
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
1 -2 -3
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.

35. What is another way of writing the absolute value function?
0<c<1 - horizontal stretching
f(x+h)-f(x)/h h cannot equal zero
odd
Y=IxI

36. What is the range for a standard quadratic function?
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function
(-infinity - 0]U[0 - +infinity)

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

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38. y=f(cx) - what does this formula represent?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking
f(x^1)=f(x^2)
f(x) = x

39. What are the calculator instructions for a standard quadratic equation?
2nd catalog (zero key -) abs(x) - graph
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph

40. What is a domain?
The first set of components of an ordered pair
down
no because you cannot have one domain pointing at two y's or ranges
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

41. What is the vertical line formula?
Square Root
When does a graph not define y as a function of x?
x2-x1 because the demonaitor of a quotient can never equal zero
x=a

42. Draw or discuss an increasing function
negative inverse
f of g and g of f
(-infinity - +infinity)
Cannot be drawn in quizlet

43. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
even
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates

44. What does linear equation mean?
The minimum or maximum points
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Equation of a line

45. What type of line is a constant function?
even
f(x)=IxI
horizontal
Yes - all the domains points to one range

46. Is a constant function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
postiive slope
identity
even

47. Is an identity function even - odd or neither?
function notation
x2-x1 because the demonaitor of a quotient can never equal zero
odd
1 -2 -3

48. What is the domain for the standard cubic function?
A V
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
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.

49. how many ranges can you have for each domain?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=x^3
x is the hours to repair the boat. $1603-532=anwser/63 = x
only one

50. What does the square root function look like on a graph?
Line ascending to the right gradually
C>1 - horizontal shrinking
Y=b
parraelle line