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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 is the domain for the standard cubic function?
Conditional
inconsitent
horizontal left
(-infinity - +infinity)
2. What does the graph of the cube root function look like on the graph?
inconsitent
identity
Approach neg toward x through zero and above positive close to x
Y=b
3. 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
x=a
f(x) = x
f of g and g of f
4. What does the absolute value function look like?
inconsistant
A V
undefined slope
x = the original sale price and the formula is x - .40x =$276
5. What is the formula for an identity function?
f(x) = x
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.
Line ascending to the right gradually
odd
6. What are the steps for solving a word problem?
odd
[0 -+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
(-infinity - +infinity)
7. x=no real numbers is what type of an equation?
45 degree angle
f(x)=+c and f(x)-c
inconsistant
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
8. What is the range of an identity function?
Y=x - identity function
f of g and g of f
postiive slope
(-infinity - +infinity)
9. What type of slope do you have when the line is horizontal and m=0?
zero slope
horizontal right
2nd catalog (zero key -) abs(x) - graph
C>1 - horizontal shrinking
10. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
A line passing through two distinct points
The second set of components of an ordered pair
f(x)=x^3
11. Is an absolute value function even - odd or neither?
only one
(-infinity - +infinity)
even
The single number y=
12. What are the four steps for solving a linear equation?
[0 -+infinity)
(-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.
f(x+h)-f(x)/h h cannot equal zero
13. 4x+5x=8x is what type of an equation?
because the demintor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Conditional
odd
14. What are the calculator instructions for absolute value?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
Square Root
m
15. What is a domain?
The first set of components of an ordered pair
Y=x^2 - graph
Piecewise
undefined
16. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
even
Y=x^2 - graph
17. what is the letter used to represent slope?
Y=x^2 - graph
(-infinity - +infinity)
The single number y=
m
18. 4(x-7)=4x+28 is what type of an equation?
2nd key - x^2 - graph
f(x) = x
4 -6 -9
inconsitent
19. x=all real numbers is what type of an equation?
f of g and g of f
identity
Piecewise
no because you cannot have one domain pointing at two y's or ranges
20. f(x) = x^2+3x+5 - what type of formula is this?
undefined slope
function notation
45 degree angle
1 -2 -3
21. What is a function?
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
Square Root
inconsistant
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
22. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
x=a
(-infinity - +infinity)
down
23. Is an identity function even - odd or neither?
odd
(-infinity - +infinity)
Conditional
horizontal
24. In an identity function if f(10)=x than what is y?
Equation of a line
The slope of a line containing two points
f of g and g of f
Y=10
25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
2nd catalog (zero key -) abs(x) - graph
The secant line
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
even
26. What is the formula in both horizontal stretching and horizontal shrinking?
x=a
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
27. What are the algebra of functions?
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
f(x)=+c and f(x)-c
28. 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?
postiive slope
Line ascending to the right gradually
parabola - up one and right three
x is the hours to repair the boat. $1603-532=anwser/63 = x
29. What is the formula for the standard cubic function?
f(x)=x^3
2nd key - x^2 - graph
even
(-infinity - +infinity)
30. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
undefined
(-infinity - 0]U[0 - +infinity)
parabola - up one and right three
31. What is the standard quadratic function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
x^2
Approach neg toward x through zero and above positive close to x
32. Two vertical lines side by side are a symbol for what
odd
parraelle line
Approach neg toward x through zero and above positive close to x
horizontal
33. What is slope?
Y
45 degree angle
A line passing through two distinct points
because the demintor of a quotient can never equal zero
34. What is the domain for a standard quadratic function?
(-infinity - +infinity)
horizontal right
[0 -+infinity)
x^2
35. What is the slope of a perpendicular line?
Yes - all the domains points to one range
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
negative inverse
36. y^2+x=4 is this a function? Why?
37. What is a constant function?
only one
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)
horizontal
38. 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
When does a graph not define y as a function of x?
horizontal left
x = the original sale price and the formula is x - .40x =$276
39. What type of slope do you have when m=? and the line is vertical?
undefined slope
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
f(x)=suare root of x
40. What can we substitute for f(x)?
45 degree angle
negative slope
Y
(-infinity - 0]U[0 - +infinity)
41. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
x=a
42. What is the domain of the cube root function?
odd
Cannot be drawn in quizlet
(-infinity - +infinity)
4 -6 -9
43. A flat line underlining one vertical line is a symbol for
perpendicular line
x math 3 graph
A V
no because you cannot have one domain pointing at two y's or ranges
44. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
undefined slope
in a quotient
Y=b
45. Standard absolute value - vertical shift formulas for positve and negative
Equation of a line
f(x)=+c and f(x)-c
same
m
46. Draw or discuss a constant function
Any set of ordered pairs
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
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
47. What does the square root function look like on a graph?
The slope of a line containing two points
Line ascending to the right gradually
The second set of components of an ordered pair
(-infinity - +infinity)
48. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
same
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.
odd
49. What is another way to write f(x)=x - what type of function is this?
parabola
When does a graph not define y as a function of x?
Y=x - identity function
undefined slope
50. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
only one
Mirror image neg quadrant to that of the positive quandrant