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. Is a constant function even - odd or neither?
even
inconsitent
f(x+c) and f(x-c)
The minimum or maximum points


2. f(x) = x^2+3x+5 - what type of formula is this?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates
function notation
neither


3. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
perpendicular line
f(x)=3 square root x
math 4 x - graph


4. What does the absolute value function look like?
m
(-infinity - 0]U[0 - +infinity)
The single number y=
A V


5. what can never equal zero in the slope formula and why?
even
The secant line
x2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic


6. What type of line is a constant function?
down
up
f(x)=x^3
horizontal


7. 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
Y=x^2 - graph
parabola
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. x^2+y=4 is this a function? Why?


9. What type of function would you use to calculate the most advantageous cell phone plan?
45 degree angle
parraelle line
(-infinity - +infinity)
Piecewise


10. What is the domain for the standard cubic function?
f(x)=+c and f(x)-c
(-infinity - +infinity)
Y= then enter the number then press graph
C>1 - horizontal shrinking


11. Which direction does f(x-c) move
function notation
(-infinity - +infinity)
horizontal right
even


12. What is a constant function?
(-infinity - +infinity)
f(x^1)=f(x^2)
negative inverse
zero slope


13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
because the demintor of a quotient can never equal zero
even
Y=10
4 -6 -9


14. What can we substitute for f(x)?
(-infinity - +infinity)
identity
Line ascending to the right gradually
Y


15. What is the range of the cube root function?
function notation
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
(-infinity - +infinity)
45 degree angle


16. What is the formula for an absolute value function?
As many as you like
(-infinity - +infinity)
(-infinity - +infinity)
f(x)=IxI


17. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Line ascending to the right gradually
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.
Square Root


18. Why can h not equal zero in the difference of a quotient function formula?
x^2
The second set of components of an ordered pair
because the demintor of a quotient can never equal zero
horizontal right


19. What is an identity function?
[0 -+infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
The first set of components of an ordered pair


20. What is the vertical line test?
parabola - up one and right three
undefined
The secant line
When does a graph not define y as a function of x?


21. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
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
Change in y / change in x = rise / run = y2-y1 / x2-x1


22. What points do you use to plot the inverse on a graph?
When does a graph not define y as a function of x?
The opposite coordinates
x^2
Y=IxI


23. How are functions normally written?
As equations
The minimum or maximum points
f(x)=x^3
neither


24. Is a standard quadratic function even - odd or neither?
horizontal right
Cannot be drawn in quizlet
even
f(x2)-f(x1) / x2-x1


25. what is the formula for slope?
f of g and g of f
Y= then enter the number then press graph
down
Change in y / change in x = rise / run = y2-y1 / x2-x1


26. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
The slope of a line containing two points
C>1 - horizontal shrinking


27. What type of slope do you have when the line is horizontal and m=0?
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
inconsistant
zero slope


28. What shape is the standard quadratic function?
f(x)=3 square root x
A line passing through two distinct points
parabola
up


29. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Piecewise
math 4 x - graph
Yes - all the domains points to one range


30. What is the domain and range of a constant function?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse


31. What are two examples of composit functions?
Absolute Value - Constant and Standard Quadratic
f of g and g of f
Square Root
even


32. What is the formula for the cube root function?
identity
f(x)=3 square root x
because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


33. What are the four steps for solving a linear equation?
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.
20+.05x=5+.10x x=minutes
Conditional
(-infinity - +infinity)


34. What are the calculator instructions for the standard cubic function?
math 4 x - graph
[0 -+infinity)
45 degree angle
x math 3 graph


35. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
parraelle line
negative inverse
Y=x^2 - graph


36. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
even
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range
Y


37. What is the slope of a perpendicular line?
f(x)=x^3
odd
The secant line
negative inverse


38. what is a range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
identity
Conditional
The second set of components of an ordered pair


39. What are the calculator instructions for absolute value?
f(x)=+c and f(x)-c
horizontal
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)


40. Draw or discuss a decreasing function
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet


41. A flat line underlining one vertical line is a symbol for
identity
perpendicular line
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)


42. What is the vertical line formula?
Cannot be drawn in quizlet
x=a
f(x+h)-f(x)/h h cannot equal zero
zero slope


43. 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?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes because two x's or domains can point to one y


44. x=all real numbers is what type of an equation?
identity
Cannot be drawn in quizlet
f(x)=3 square root x
45 degree angle


45. how many ranges can you have for each domain?
As equations
Approach neg toward x through zero and above positive close to x
only one
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


46. How do you calculate a constant function in your calculator?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
Line ascending to the right gradually
negative inverse


47. x= a real number is what type of equation?
Cannot be drawn in quizlet
(-infinity - +infinity)
postiive slope
Conditional


48. What is the standard quadratic function?
The secant line
x^2
f of g and g of f
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


49. What is the range for an absolute value function?
Equation of a line
parabola - up one and right three
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)


50. What does the graph of the cube root function look like on the graph?
identity
f(x)=suare root of x
Approach neg toward x through zero and above positive close to x
negative inverse