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. Draw or discuss a constant function
20+.05x=5+.10x x=minutes
A line passing through two distinct points
odd
Cannot be drawn in quizlet


2. how many ranges can you have for each domain?
only one
The slope of a line containing two points
Y=x^2 - graph
(-infinity - +infinity)


3. What is a function?
Any set of ordered pairs
Yes because two x's or domains can point to one y
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
parabola


4. Standard absolute value - vertical shift formulas for positve and negative
function notation
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
f(x)=+c and f(x)-c


5. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
x is the hours to repair the boat. $1603-532=anwser/63 = x
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
2nd key - x^2 - graph
1 -2 -3


6. What is the range for a standard quadratic function?
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
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.
in a quotient


7. What is the formula for to calculate the difference of a quotient function?
even
(-infinity - +infinity)
negative slope
f(x+h)-f(x)/h h cannot equal zero


8. What is a constant function?
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient
f(x^1)=f(x^2)


9. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
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)
f(x) = x


10. What is the formula for the square root function?
only one
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x


11. What is the domain of an identity function?
(-infinity - +infinity)
negative inverse
The minimum or maximum points
Absolute Value - Constant and Standard Quadratic


12. In an identity function if f(10)=x than what is y?
Y=10
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
down


13. x=no real numbers is what type of an equation?
inconsistant
(-infinity - 0]U[0 - +infinity)
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.
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


14. What are the four steps for solving a linear equation?
Yes - all the domains points to one range
(-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.
0<c<1 - horizontal stretching


15. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
45 degree angle
The secant line
Mirror image neg quadrant to that of the positive quandrant


16. What is the domain and range of a constant function?
(-infinity - +infinity)
f of g and g of f
x^2
f(x)=IxI


17. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=x^3
even


18. What are the calculator instructions for a standard quadratic equation?
horizontal
Piecewise
Y=x^2 - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


19. What is the formula for an identity function?
f(x) = x
zero slope
m
horizontal


20. What is the formula for the standard cubic function?
f(x)=x^3
[0 -+infinity)
The first set of components of an ordered pair
even


21. Draw or discuss an increasing function
undefined slope
Cannot be drawn in quizlet
x2-x1 because the demonaitor 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


22. How are functions normally written?
Yes because two x's or domains can point to one y
The slope of a line containing two points
As equations
x math 3 graph


23. What can we substitute for f(x)?
no because you cannot have one domain pointing at two y's or ranges
Absolute Value - Constant and Standard Quadratic
horizontal left
Y


24. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20+.05x=5+.10x x=minutes


25. What is the domain for a standard quadratic function?
Line ascending to the right gradually
(-infinity - +infinity)
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1


26. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
parraelle line
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1


27. What is the range of an identity function?
horizontal
(-infinity - +infinity)
Conditional
math 4 x - graph


28. $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?
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
Any set of ordered pairs
45 degree angle


29. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Square Root
Conditional
Cannot be drawn in quizlet


30. What are two examples of composit functions?
Yes - all the domains points to one range
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f of g and g of f
function notation


31. What are the calculator instructions for absolute value?
45 degree angle
2nd catalog (zero key -) abs(x) - graph
f(x)=x^3
As equations


32. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function
same


33. What is slope?
A line passing through two distinct points
horizontal
Y=b
f(x)=x^3


34. Is a constant function even - odd or neither?
identity
even
f(x)=x^3
Y=b


35. What are the algebra of functions?
The minimum or maximum points
2nd key - x^2 - graph
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x


36. What is the average rate of change formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x2)-f(x1) / x2-x1
The slope of a line containing two points
[0 -+infinity)


37. What is a domain?
2nd catalog (zero key -) abs(x) - graph
The first set of components of an ordered pair
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes


38. What is the range of the cube root function?
(-infinity - +infinity)
Equation of a line
Line ascending to the right gradually
only one


39. What equation does every line have? Discuss the variables.
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
undefined slope


40. What is a relation?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Any set of ordered pairs
(-infinity - +infinity)


41. what is the letter used to represent slope?
m
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
Set the x and y to zero and get the intercepts and then plot the points
Y=10


42. x=all real numbers is what type of an equation?
in a quotient
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
[0 -+infinity)


43. What type of slope do you have when the line is horizontal and m=0?
up
zero slope
Conditional
Y= then enter the number then press graph


44. How do you graph Ax+By+C=0?
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points
odd
even


45. What type of slope do vertical lines have?
undefined
horizontal
Y= then enter the number then press graph
(-infinity - +infinity)


46. What type of line is a constant function?
horizontal
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)


47. 4(x-7)=4x+28 is what type of an equation?
As many as you like
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=+c and f(x)-c
inconsitent


48. What does the square root function look like on a graph?
in a quotient
Line ascending to the right gradually
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x


49. What is the slope intercept formula? Define all the variables.
f(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph


50. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
postiive slope
As equations
Equation of a line