SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
Search
Test your basic knowledge |
CLEP College Algebra: Functions
Start Test
Study First
Subjects
:
clep
,
math
,
algebra
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 slope do you have when m=? and the line is vertical?
The first set of components of an ordered pair
function notation
undefined slope
Yes - all the domains points to one range
2. What is slope?
even
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x
same
3. What type of slope do horizontal lines have?
even
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
Mirror image neg quadrant to that of the positive quandrant
same
4. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
When does a graph not define y as a function of x?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
5. Of the seven of algebra's common graph's how many are even?
odd
0<c<1 - horizontal stretching
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic
6. Is the square root function odd - even or neither?
The opposite coordinates
neither
x=a
(-infinity - 0]U[0 - +infinity)
7. Of the seven of algebra's common graph's how many are neither?
Square Root
(-infinity - 0]U[0 - +infinity)
parabola
0<c<1 - horizontal stretching
8. what is the letter used to represent slope?
f(x)=IxI
in a quotient
m
As many as you like
9. y^2+x=4 is this a function? Why?
10. What is the domain for the standard cubic function?
Piecewise
(-infinity - +infinity)
When does a graph not define y as a function of x?
even
11. What does the absolute value function look like?
(-infinity - +infinity)
zero slope
A V
45 degree angle
12. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
zero slope
f of g and g of f
13. What is the range of the cube root function?
(-infinity - +infinity)
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line
14. What are two examples of composit functions?
1 -2 -3
f of g and g of f
perpendicular line
Y=x - identity function
15. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Piecewise
x math 3 graph
up
16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsitent
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range
17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x^1)=f(x^2)
horizontal left
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
18. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=suare root of x
Y= then enter the number then press graph
function notation
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
19. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
Y=x^2 - graph
parabola - up one and right three
x is the hours to repair the boat. $1603-532=anwser/63 = x
20. How do you calculate a constant function in your calculator?
The second set of components of an ordered pair
horizontal right
Y= then enter the number then press graph
(-infinity - +infinity)
21. What is the slope of a perpendicular line?
negative inverse
Piecewise
odd
Y
22. What points do you use to plot the inverse on a graph?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
Yes - all the domains points to one range
The opposite coordinates
23. What are the algebra of functions?
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Conditional
24. What is a domain?
45 degree angle
45 degree angle
The first set of components of an ordered pair
Y=b
25. What is the vertex?
Y=10
x2-x1 because the demonaitor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
The minimum or maximum points
26. What does linear equation mean?
inconsistant
Equation of a line
parraelle line
x = the original sale price and the formula is x - .40x =$276
27. What type of line is an identity function?
45 degree angle
horizontal
Piecewise
Cannot be drawn in quizlet
28. 4(x-7)=4x+28 is what type of an equation?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
2nd key - x^2 - graph
inconsitent
29. What is the domain of an identity function?
up
(-infinity - +infinity)
2nd key - x^2 - graph
in a quotient
30. What type of slope do you have when a line rises from left to right and m>0?
function notation
postiive slope
f(x)=3 square root x
2nd key - x^2 - graph
31. Is an absolute value function even - odd or neither?
negative slope
even
f of g and g of f
f(x+h)-f(x)/h h cannot equal zero
32. y=f(cx) - what does this formula represent?
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
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
C>1 - horizontal shrinking
33. What does the square root function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually
C>1 - horizontal shrinking
34. How are functions normally written?
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.
As equations
only one
Square Root
35. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=IxI
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.
Absolute Value - Constant and Standard Quadratic
36. What is a constant function?
(-infinity - +infinity)
undefined slope
f(x^1)=f(x^2)
parabola
37. What is the domain of a square root function?
in a quotient
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
[0 -+infinity)
38. How do you graph Ax+By+C=0?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
horizontal left
39. What is the formula for the cube root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes because two x's or domains can point to one y
only one
f(x)=3 square root x
40. What does the standard cubic function look like on a graph?
down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
Y= then enter the number then press graph
41. What does the graph of the cube root function look like on the graph?
perpendicular line
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
(-infinity - +infinity)
42. Which direction does f(x+c) move
horizontal left
f(x)=suare root of x
zero slope
(-infinity - +infinity)
43. What is the horizontal line formula?
even
Y=b
Y
f(x) = x
44. 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
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
(-infinity - +infinity)
45. What is the formula for the standard cubic function?
45 degree angle
(-infinity - +infinity)
f(x)=x^3
horizontal left
46. Is a constant function even - odd or neither?
parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
even
47. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
odd
(-infinity - +infinity)
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
Any set of ordered pairs
48. What is the domain for an absolute value function?
(-infinity - +infinity)
down
x = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph
49. Is the standard cubic function odd - even or neither?
4 -6 -9
Three odd - cube root - identity - standard cubic
horizontal
odd
50. What type of slope do you have when the line is horizontal and m=0?
zero slope
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph