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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 are the calculator instructions for the cube root function?
odd
math 4 x - graph
[0 -+infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
As many as you like
Yes - all the domains points to one range
Conditional
(-infinity - +infinity)
3. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range
The second set of components of an ordered pair
parabola
4. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
inconsitent
4 -6 -9
Equation of a line
f(x)=3 square root x
5. x^2+y=4 is this a function? Why?
6. What is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
f(x^1)=f(x^2)
7. what is a range?
x = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The second set of components of an ordered pair
undefined
8. what can never equal zero in the slope formula and why?
f(x+c) and f(x-c)
x2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?
x math 3 graph
9. Draw or discuss a decreasing function
Set the x and y to zero and get the intercepts and then plot the points
identity
Cannot be drawn in quizlet
horizontal right
10. What is the formula in both horizontal stretching and horizontal shrinking?
x^2
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Equation of a line
45 degree angle
11. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
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
f(x)=x^3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
12. f(x) = x^2+3x+5 - what type of formula is this?
45 degree angle
function notation
Yes - all the domains points to one range
even
13. What is the vertical line formula?
x=a
f(x^1)=f(x^2)
Three odd - cube root - identity - standard cubic
A V
14. 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
Y=x^2 - graph
Y=x - identity function
up
15. What type of line is a constant function?
Y=b
horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola - up one and right three
16. Draw or discuss a constant function
Line ascending to the right gradually
identity
Cannot be drawn in quizlet
down
17. how many domains can you have pointing to one range?
Y=10
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As many as you like
18. What type of slope do you have when m=? and the line is vertical?
undefined slope
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)
x^2
19. 4x+5x=8x is what type of an equation?
Conditional
Y= then enter the number then press graph
perpendicular line
even
20. What is the vertex?
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
21. What type of slope do vertical lines have?
Y=IxI
undefined
2nd key - x^2 - graph
The single number y=
22. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Approach neg toward x through zero and above positive close to x
x2-x1 because the demonaitor of a quotient can never equal zero
23. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
even
(-infinity - +infinity)
negative slope
24. Is an identity function even - odd or neither?
odd
Cannot be drawn in quizlet
even
Equation of a line
25. What is the formula for the cube root function?
The opposite coordinates
1 -2 -3
C>1 - horizontal shrinking
f(x)=3 square root x
26. What is the range of the cube root function?
zero slope
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
identity
27. What type of line is a constant function?
horizontal
(-infinity - +infinity)
parabola - up one and right three
Y=10
28. What are the algebra of functions?
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
29. How are functions normally written?
even
negative slope
Any set of ordered pairs
As equations
30. What is slope?
f(x2)-f(x1) / x2-x1
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
31. In an identity function if f(10)=x than what is y?
Y=10
parabola - up one and right three
The single number y=
only one
32. What is the domain for the standard cubic function?
Y=IxI
down
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
33. What is the formula for the square root function?
As many as you like
f(x)=suare root of x
Line ascending to the right gradually
Y=x^2 - graph
34. Is the square root function odd - even or neither?
neither
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
(-infinity - 0]U[0 - +infinity)
35. What is the range of an identity function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined
Piecewise
36. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
m
The second set of components of an ordered pair
37. What is the formula for an identity function?
horizontal
f(x^1)=f(x^2)
f(x) = x
Y= then enter the number then press graph
38. Is the standard cubic function odd - even or neither?
Square Root
f(x^1)=f(x^2)
odd
Conditional
39. how many ranges can you have for each domain?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b
only one
undefined
40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
The minimum or maximum points
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
41. What type of slope do you have when a line falls left to right and m<0?
Y
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
negative slope
42. Which direction does f(x+c) move
horizontal left
(-infinity - +infinity)
inconsitent
Yes - all the domains points to one range
43. x= a real number is what type of equation?
(-infinity - +infinity)
x^2
Conditional
x = the original sale price and the formula is x - .40x =$276
44. What is the standard quadratic function?
Y
postiive slope
inconsitent
x^2
45. What is the domain of the cube root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
2nd key - x^2 - graph
46. How would this formula move f(x)=(x+1)^2-3
20+.05x=5+.10x x=minutes
parabola - up one and right three
x math 3 graph
(-infinity - 0]U[0 - +infinity)
47. 4(x-7)=4x-28 is what type of an equation?
parabola
function notation
f(x)=suare root of x
identity
48. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
45 degree angle
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
49. What is the range for an absolute value function?
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
50. x=no real numbers is what type of an equation?
(-infinity - +infinity)
inconsistant
even
horizontal