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. What type of function would you use to calculate the most advantageous cell phone plan?
Y=x^2 - graph
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
Conditional
Piecewise


2. What are two examples of composit functions?
parabola - up one and right three
identity
(-infinity - +infinity)
f of g and g of f


3. x=no real numbers is what type of an equation?
f(x) = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
inconsistant


4. What are the calculator instructions for a square root function?
only one
2nd key - x^2 - graph
The minimum or maximum points
[0 -+infinity)


5. What does the standard cubic function look like on a graph?
x math 3 graph
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
horizontal left


6. What is the range of an identity function?
Cannot be drawn in quizlet
math 4 x - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)


7. What is the vertical line formula?
Mirror image neg quadrant to that of the positive quandrant
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
Y


8. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
even
The secant line
horizontal


9. What is the range of the constant function?
zero slope
Line ascending to the right gradually
The single number y=
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


10. What is the formula for the square root function?
(-infinity - +infinity)
f(x)=suare root of x
The first set of components of an ordered pair
Y


11. What does the average rate of change formula solve?
As equations
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
odd


12. 4(x-7)=4x+28 is what type of an equation?
parabola
f(x)=x^3
Conditional
inconsitent


13. What is the standard quadratic function?
(-infinity - +infinity)
x^2
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
horizontal right


14. What points do you use to plot the inverse on a graph?
math 4 x - graph
The opposite coordinates
(-infinity - +infinity)
even


15. What is another way to write f(x)=x - what type of function is this?
Line ascending to the right gradually
When does a graph not define y as a function of x?
x math 3 graph
Y=x - identity function


16. What is the average rate of change formula?
The minimum or maximum points
neither
f(x2)-f(x1) / x2-x1
20+.05x=5+.10x x=minutes


17. what is a range?
Line ascending to the right gradually
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)


18. Standard absolute value - vertical shift formulas for positve and negative
postiive slope
up
f(x)=+c and f(x)-c
Yes because two x's or domains can point to one y


19. What type of line is an identity function?
postiive slope
function notation
f(x)=x^3
45 degree angle


20. What is the range for a standard quadratic function?
Line ascending to the right gradually
(-infinity - +infinity)
m
(-infinity - 0]U[0 - +infinity)


21. 4x+5x=8x is what type of an equation?
Conditional
horizontal right
20+.05x=5+.10x x=minutes
(-infinity - +infinity)


22. What is a relation?
f(x)=suare root of x
zero slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
Any set of ordered pairs


23. Which direction does f(x-c) move
horizontal right
A line passing through two distinct points
postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040


24. Standard absolute value - horizontal shift formulas for left and right
The slope of a line containing two points
even
f(x+c) and f(x-c)
parraelle line


25. A flat line underlining one vertical line is a symbol for
[0 -+infinity)
perpendicular line
x2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching


26. Is the standard cubic function odd - even or neither?
math 4 x - graph
odd
C>1 - horizontal shrinking
identity


27. What type of slope do horizontal lines have?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
same
function notation
up


28. What is another way of writing the absolute value function?
(-infinity - +infinity)
(-infinity - +infinity)
Y=IxI
odd


29. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x^1)=f(x^2)
Square Root
2nd catalog (zero key -) abs(x) - graph


30. 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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
When does a graph not define y as a function of x?


31. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
math 4 x - graph
even
neither


32. x= a real number is what type of equation?
Conditional
2nd catalog (zero key -) abs(x) - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined


33. What type of slope do you have when m=? and the line is vertical?
undefined slope
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
A V


34. y=f(cx) - what does this formula represent?
2nd catalog (zero key -) abs(x) - graph
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
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking


35. What is the horizontal line formula?
Y=b
The secant line
The slope of a line containing two points
x=a


36. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x) = x
45 degree angle
parabola
Yes - all the domains points to one range


37. how many domains can you have pointing to one range?
As many as you like
f(x2)-f(x1) / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
postiive slope


38. What does linear equation mean?
Equation of a line
f(x+h)-f(x)/h h cannot equal zero
undefined slope
Absolute Value - Constant and Standard Quadratic


39. Of the seven of algebra's common graph's how many are neither?
parraelle line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Square Root
f(x2)-f(x1) / x2-x1


40. How do you calculate a constant function in your calculator?
4 -6 -9
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
x math 3 graph


41. Draw or discuss a constant function
The opposite coordinates
Cannot be drawn in quizlet
perpendicular line
45 degree angle


42. What is slope?
(-infinity - +infinity)
A line passing through two distinct points
Equation of a line
Conditional


43. What type of line is a constant function?
As many as you like
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal


44. Draw or discuss an increasing function
perpendicular line
Cannot be drawn in quizlet
Piecewise
(-infinity - +infinity)


45. What is the formula for the standard cubic function?
parraelle line
f(x)=suare root of x
odd
f(x)=x^3


46. What type of line is a constant function?
Conditional
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs
horizontal


47. Of the seven of algebra's common graph's how many are odd?
Conditional
Three odd - cube root - identity - standard cubic
function notation
C>1 - horizontal shrinking


48. What is the formula for an identity function?
negative slope
Set the x and y to zero and get the intercepts and then plot the points
x=a
f(x) = x


49. How do you graph Ax+By+C=0?
Y=10
function notation
Set the x and y to zero and get the intercepts and then plot the points
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


50. Is a standard quadratic function even - odd or neither?
Line ascending to the right gradually
The opposite coordinates
f(x+c) and f(x-c)
even