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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. Is a standard quadratic function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
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
only one
2. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
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
x math 3 graph
x = the original sale price and the formula is x - .40x =$276
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
3. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
horizontal right
down
f(x)=suare root of x
4. Draw or discuss a constant function
x=a
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
5. Which direction does f(x)=+c move in standard absolute value formula?
up
Cannot be drawn in quizlet
Y=IxI
Absolute Value - Constant and Standard Quadratic
6. In an identity function if f(10)=x than what is y?
(-infinity - +infinity)
Y=10
f(x)=+c and f(x)-c
x^2
7. What does the average rate of change formula solve?
f(x)=+c and f(x)-c
The secant line
C>1 - horizontal shrinking
The slope of a line containing two points
8. What shape is the standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
parabola
(-infinity - +infinity)
9. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
The first set of components of an ordered pair
10. Is an absolute value function even - odd or neither?
The first set of components of an ordered pair
even
(-infinity - +infinity)
The opposite coordinates
11. x=no real numbers is what type of an equation?
inconsistant
The minimum or maximum points
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
12. What is the vertical line formula?
f(x)=suare root of x
f(x)=IxI
x=a
Any set of ordered pairs
13. What is the domain of the cube root function?
A line passing through two distinct points
f(x)=IxI
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
14. Which direction does f(x+c) move
[0 -+infinity)
x math 3 graph
f(x) = x
horizontal left
15. what is the formula for slope?
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?
16. What is the vertex?
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.
The minimum or maximum points
45 degree angle
20+.05x=5+.10x x=minutes
17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Square Root
f(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
neither
18. what is the letter used to represent slope?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
m
identity
19. What are the calculator instructions for the cube root function?
math 4 x - graph
The slope of a line containing two points
f(x)=IxI
negative slope
20. What are two examples of composit functions?
(-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
f of g and g of f
1 -2 -3
21. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
math 4 x - graph
up
22. Of the seven of algebra's common graph's how many are neither?
Yes because two x's or domains can point to one y
x^2
Square Root
neither
23. Is a constant function even - odd or neither?
even
identity
negative slope
The single number y=
24. What is slope?
inconsistant
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)
postiive slope
25. x^2+y=4 is this a function? Why?
26. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Equation of a line
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
Square Root
27. 4x+5x=8x is what type of an equation?
0<c<1 - horizontal stretching
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
28. Standard absolute value - horizontal shift formulas for left and right
f(x)=x^3
f(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
29. What does linear equation mean?
The single number y=
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
Equation of a line
30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
negative inverse
45 degree angle
4 -6 -9
Approach neg toward x through zero and above positive close to x
31. x=all real numbers is what type of an equation?
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
identity
A V
in a quotient
32. Draw or discuss an increasing function
Cannot be drawn in quizlet
45 degree angle
odd
C>1 - horizontal shrinking
33. What is the range for a standard quadratic function?
postiive slope
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)
inconsitent
34. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Line ascending to the right gradually
f(x+h)-f(x)/h h cannot 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
20+.05x=5+.10x x=minutes
35. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
1 -2 -3
Cannot be drawn in quizlet
function notation
36. What is the average rate of change formula?
Any set of ordered pairs
f(x2)-f(x1) / x2-x1
A line passing through two distinct points
2nd key - x^2 - graph
37. y=f(cx) - what does this formula represent?
f(x)=x^3
C>1 - horizontal shrinking
neither
x2-x1 because the demonaitor of a quotient can never equal zero
38. What type of slope do you have when a line falls left to right and m<0?
1 -2 -3
f(x)=IxI
negative slope
x=a
39. Is the standard cubic function odd - even or neither?
f(x) = x
perpendicular line
math 4 x - graph
odd
40. What type of slope do you have when a line rises from left to right and m>0?
x = the original sale price and the formula is x - .40x =$276
postiive slope
(-infinity - 0]U[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
41. What is an identity function?
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair
42. What direction does f(x)-c move in standard absolute value formula?
because the demintor of a quotient can never equal zero
f(x+c) and f(x-c)
down
C>1 - horizontal shrinking
43. What does the graph of the cube root function look like on the graph?
A V
only one
inconsitent
Approach neg toward x through zero and above positive close to x
44. What is the slope intercept formula? Define all the variables.
horizontal
odd
postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45. What are the calculator instructions for the standard cubic function?
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Any set of ordered pairs
x math 3 graph
46. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
odd
Y
47. What type of slope do horizontal lines have?
same
(-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
f(x+c) and f(x-c)
48. Standard absolute value - vertical shift formulas for positve and negative
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair
f(x)=+c and f(x)-c
[0 -+infinity)
49. What is the vertical line test?
When does a graph not define y as a function of x?
f(x)=IxI
horizontal right
(-infinity - 0]U[0 - +infinity)
50. Is the square root function odd - even or neither?
math 4 x - graph
horizontal right
identity
neither