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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 type of line is a constant function?
The first set of components of an ordered pair
Cannot be drawn in quizlet
45 degree angle
horizontal

2. Is the standard cubic function odd - even or neither?
As equations
The first set of components of an ordered pair
45 degree angle
odd

3. Is an absolute value function even - odd or neither?
even
f(x+c) and f(x-c)
zero slope
(-infinity - +infinity)

4. x= a real number is what type of equation?
odd
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
Conditional

5. What does the graph of the cube root function look like on the graph?
parabola
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x

6. When is the only time (-infinity - +infinity) is not the domain?
inconsitent
f(x)=x^3
in a quotient
identity

7. What is the formula for an absolute value function?
Three odd - cube root - identity - standard cubic
odd
f(x)=IxI
x = the original sale price and the formula is x - .40x =$276

8. What is the vertical line formula?
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
in a quotient
x=a
Y

9. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
f(x+h)-f(x)/h h cannot equal zero
only one
same

10. f(x) = x^2+3x+5 - what type of formula is this?
parraelle line
Set the x and y to zero and get the intercepts and then plot the points
function notation
Y= then enter the number then press graph

11. What is the formula for the standard cubic function?
f(x)=x^3
1 -2 -3
The single number y=
Y=10

12. 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
Y= then enter the number then press graph
odd
in a quotient

13. 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
(-infinity - +infinity)
The second set of components of an ordered pair
f(x)=+c and f(x)-c

14. How do you graph Ax+By+C=0?
in a quotient
Set the x and y to zero and get the intercepts and then plot the points
Y=x - identity function
Y= then enter the number then press graph

15. Is a constant function even - odd or neither?
When does a graph not define y as a function of x?
even
(-infinity - +infinity)
The opposite coordinates

16. Why can h not equal zero in the difference of a quotient function formula?
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

17. What does the absolute value function look like?
horizontal
(-infinity - +infinity)
A V
Absolute Value - Constant and Standard Quadratic

18. What are the calculator instructions for the standard cubic function?
because the demintor of a quotient can never equal zero
Y=x - identity function
x math 3 graph
2nd key - x^2 - graph

19. How are functions normally written?
20+.05x=5+.10x x=minutes
same
The single number y=
As equations

20. What are two examples of composit functions?
math 4 x - graph
postiive slope
f of g and g of f
x = the original sale price and the formula is x - .40x =$276

21. Which direction does f(x-c) move
Y=10
horizontal right
f(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. What is the range of a square root function?
The slope of a line containing two points
[0 -+infinity)
Conditional
Yes - all the domains points to one range

23. What type of function would you use to calculate the most advantageous cell phone plan?
Y=b
up
Piecewise
Conditional

24. What is the formula for to calculate the difference of a quotient function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd
The first set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero

25. how many ranges can you have for each domain?
neither
20+.05x=5+.10x x=minutes
Any set of ordered pairs
only one

26. 4(x-7)=4x+28 is what type of an equation?
When does a graph not define y as a function of x?
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair
inconsitent

27. What is the standard quadratic function?
The secant line
C>1 - horizontal shrinking
undefined
x^2

28. What is the formula for the square root function?
f(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

29. What points do you use to plot the inverse on a graph?
Yes - all the domains points to one range
[0 -+infinity)
A V
The opposite coordinates

30. What type of line is an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

31. What shape is the standard quadratic function?
parabola
up
Conditional
m

32. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f(x+h)-f(x)/h h cannot equal zero
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
negative slope

33. What is the slope of a perpendicular line?
odd
undefined slope
negative inverse
function notation

34. 4(x-7)=4x-28 is what type of an equation?
Absolute Value - Constant and Standard Quadratic
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
identity
Conditional

35. What can we substitute for f(x)?
Three odd - cube root - identity - standard cubic
horizontal
Y
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. A flat line underlining one vertical line is a symbol for
perpendicular line
As many as you like
no because you cannot have one domain pointing at two y's or ranges
f(x+h)-f(x)/h h cannot equal zero

37. What is the formula for an identity function?
x^2
1 -2 -3
[0 -+infinity)
f(x) = x

38. Of the seven of algebra's common graph's how many are odd?
odd
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually

39. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
odd
x^2

40. What is the average rate of change formula?
45 degree angle
f(x2)-f(x1) / x2-x1
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
(f+g) - (f-g) - (fg) - (f/g) all of x

41. what is the formula for slope?
f(x^1)=f(x^2)
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. What are the calculator instructions for the cube root function?
0<c<1 - horizontal stretching
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
math 4 x - graph
Cannot be drawn in quizlet

43. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
perpendicular line
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. What type of slope do you have when m=? and the line is vertical?
Cannot be drawn in quizlet
undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=3 square root x

45. Of the seven of algebra's common graph's how many are neither?
f(x) = x
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x math 3 graph

46. what can never equal zero in the slope formula and why?
When does a graph not define y as a function of x?
x2-x1 because the demonaitor of a quotient can never equal zero
f of g and g of f
x=a

47. Draw or discuss a decreasing function
(-infinity - 0]U[0 - +infinity)
f(x)=IxI
The opposite coordinates
Cannot be drawn in quizlet

48. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
m
When does a graph not define y as a function of x?
odd

49. What is a constant function?
Equation of a line
f(x^1)=f(x^2)
The minimum or maximum points
f(x)=suare root of x

50. What is the range for an absolute value function?
up
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
negative inverse