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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 line called that illustrates the straight line between the two points when showing average rate of change?
parabola - up one and right three
The secant line
f(x^1)=f(x^2)
1 -2 -3

2. What is the domain for an absolute value function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x2)-f(x1) / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

3. What type of slope do vertical lines have?
x^2
As many as you like
horizontal
undefined

4. 4(x-7)=4x-28 is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
math 4 x - graph
As equations
identity

5. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+c) and f(x-c)
The opposite coordinates

6. What is a constant function?
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x^1)=f(x^2)

7. x=all real numbers is what type of an equation?
(-infinity - +infinity)
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
identity
Y=x - identity function

8. When is the only time (-infinity - +infinity) is not the domain?
The first set of components of an ordered pair
The opposite coordinates
Yes - all the domains points to one range
in a quotient

9. What are two examples of composit functions?
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f of g and g of f

10. What is the horizontal line formula?
f(x)=3 square root x
Y=b
Mirror image neg quadrant to that of the positive quandrant
because the demintor of a quotient can never equal zero

11. 4x+5x=8x is what type of an equation?
f(x)=+c and f(x)-c
Y=10
parraelle line
Conditional

12. Is an absolute value function even - odd or neither?
even
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=x^3

13. Draw or discuss a decreasing function
math 4 x - graph
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
identity

14. Of the seven of algebra's common graph's how many are even?
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. What is the range of the cube root function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
m
x = the original sale price and the formula is x - .40x =$276

16. What shape is the standard quadratic function?
(-infinity - +infinity)
Y=x^2 - graph
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
parabola

17. What is the range of an identity function?
(-infinity - +infinity)
horizontal
The first set of components of an ordered pair
45 degree angle

18. What are the steps for solving a word problem?
2nd key - x^2 - graph
f(x)=suare root of x
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
A V

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

20. what is a range?
inconsistant
f of g and g of f
x = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair

21. 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)=3 square root x
Any set of ordered pairs
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd key - x^2 - graph

22. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
zero slope
Mirror image neg quadrant to that of the positive quandrant
undefined slope

23. What is the domain and range of a constant function?
horizontal
(-infinity - +infinity)
A line passing through two distinct points
math 4 x - graph

24. how many domains can you have pointing to one range?
(-infinity - +infinity)
As many as you like
f(x2)-f(x1) / x2-x1
f(x+c) and f(x-c)

25. What are the algebra of functions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
Three odd - cube root - identity - standard cubic
(f+g) - (f-g) - (fg) - (f/g) all of x

26. What type of function would you use to calculate the most advantageous cell phone plan?
neither
Y=x - identity function
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x

27. How do you calculate a constant function in your calculator?
up
Y= then enter the number then press graph
Cannot be drawn in quizlet
negative slope

28. What is an identity function?
up
45 degree angle
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero

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

30. What is the formula for an absolute value function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points
f(x)=IxI

31. What is the range for an absolute value function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x
math 4 x - graph

32. x=no real numbers is what type of an equation?
parabola - up one and right three
neither
inconsistant
Set the x and y to zero and get the intercepts and then plot the points

33. Is a standard quadratic function even - odd or neither?
even
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

34. What is the formula for the cube root function?
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three
f(x)=3 square root x
x is the hours to repair the boat. $1603-532=anwser/63 = x

35. What is the point slope formula and when do you use it?
The opposite coordinates
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line
45 degree angle

36. What does the absolute value function look like?
perpendicular line
Y=IxI
A V
f(x+h)-f(x)/h h cannot equal zero

37. Which direction does f(x+c) move
f(x)=suare root of x
negative slope
Three odd - cube root - identity - standard cubic
horizontal left

38. What type of slope do you have when a line falls left to right and m<0?
negative slope
f(x)=3 square root x
even
Yes because two x's or domains can point to one y

39. y=f(cx) - what does this formula represent?
negative slope
C>1 - horizontal shrinking
As equations
even

40. x= a real number is what type of equation?
20+.05x=5+.10x x=minutes
Conditional
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

41. What is the domain for the standard cubic function?
negative slope
(-infinity - +infinity)
45 degree angle
f(x+h)-f(x)/h h cannot equal zero

42. What does the average rate of change formula solve?
The slope of a line containing two points
The opposite coordinates
even
Y=b

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

44. What is the vertical line test?
As many as you like
When does a graph not define y as a function of x?
Y=b
parabola

45. What type of line is a constant function?
horizontal
negative inverse
Set the x and y to zero and get the intercepts and then plot the points
A V

46. Which direction does f(x-c) move
(-infinity - 0]U[0 - +infinity)
horizontal right
f(x)=+c and f(x)-c
A V

47. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+c) and f(x-c)
(-infinity - +infinity)
Yes - all the domains points to one range
[0 -+infinity)

48. how many ranges can you have for each domain?
no because you cannot have one domain pointing at two y's or ranges
Square Root
parabola - up one and right three
only one

49. y=f(cx) what does this formula represent?
Three odd - cube root - identity - standard cubic
0<c<1 - horizontal stretching
odd
because the demintor of a quotient can never equal zero

50. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal left