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 are the calculator instructions for absolute value?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Yes because two x's or domains can point to one y
2nd catalog (zero key -) abs(x) - graph


2. x=no real numbers is what type of an equation?
postiive slope
no because you cannot have one domain pointing at two y's or ranges
inconsistant
45 degree angle


3. What is the range of a square root function?
[0 -+infinity)
Y=x^2 - graph
only one
The secant line


4. 4(x-7)=4x-28 is what type of an equation?
perpendicular line
Three odd - cube root - identity - standard cubic
identity
no because you cannot have one domain pointing at two y's or ranges


5. What is the horizontal line formula?
undefined
Y=b
(-infinity - 0]U[0 - +infinity)
As many as you like


6. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)
undefined slope
inconsitent


7. how many domains can you have pointing to one range?
As many as you like
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
(-infinity - +infinity)
A line passing through two distinct points


8. Draw or discuss an increasing function
Cannot be drawn in quizlet
(-infinity - +infinity)
even
horizontal


9. What are the steps for solving a word problem?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
(-infinity - +infinity)
(-infinity - +infinity)


10. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
horizontal
Y=x - identity function
45 degree angle


11. 4(x-7)=4x+28 is what type of an equation?
even
parabola - up one and right three
Yes - all the domains points to one range
inconsitent


12. When is the only time (-infinity - +infinity) is not the domain?
even
in a quotient
Cannot be drawn in quizlet
same


13. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
The first set of components of an ordered pair
neither
C>1 - horizontal shrinking


14. Is the standard cubic function odd - even or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd
(-infinity - +infinity)
Y= then enter the number then press graph


15. What is the range of the cube root function?
(-infinity - +infinity)
f(x+c) and f(x-c)
Conditional
horizontal


16. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
f(x)=+c and f(x)-c
Line ascending to the right gradually


17. How would this formula move f(x)=(x+1)^2-3
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
parabola - up one and right three
As many as you like
2nd catalog (zero key -) abs(x) - graph


18. What is the vertical line test?
When does a graph not define y as a function of x?
The opposite coordinates
Three odd - cube root - identity - standard cubic
parraelle line


19. What is a relation?
The second set of components of an ordered pair
Equation of a line
Any set of ordered pairs
inconsistant


20. What is the formula for to calculate the difference of a quotient function?
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x+h)-f(x)/h h cannot equal zero
Y=10


21. What shape is the standard quadratic function?
parabola - up one and right three
parabola
inconsitent
Set the x and y to zero and get the intercepts and then plot the points


22. What is slope?
2nd catalog (zero key -) abs(x) - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
in a quotient
A line passing through two distinct points


23. What is an identity function?
45 degree angle
m
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph


24. What is the range for a standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
A line passing through two distinct points
Conditional


25. Is a standard quadratic function even - odd or neither?
f(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph
even
f(x)=suare root of x


26. Which direction does f(x-c) move
Equation of a line
horizontal right
f(x2)-f(x1) / x2-x1
f(x)=IxI


27. x^2+y=4 is this a function? Why?


28. What is the slope of a perpendicular line?
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
The secant line
(-infinity - +infinity)
negative inverse


29. What is the range for the standard cubic function?
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.
A V
identity
(-infinity - +infinity)


30. What is the domain of the cube root function?
(-infinity - +infinity)
only one
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)


31. How do you calculate a constant function in your calculator?
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
Y= then enter the number then press graph
even


32. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
[0 -+infinity)
Approach neg toward x through zero and above positive close to x


33. What type of slope do horizontal lines have?
The slope of a line containing two points
same
Yes - all the domains points to one range
identity


34. What is the formula for an identity function?
The first set of components of an ordered pair
(-infinity - +infinity)
f(x)=3 square root x
f(x) = x


35. What is the formula in both horizontal stretching and horizontal shrinking?
Conditional
f(x)=suare root of x
neither
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


36. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
2nd key - x^2 - graph
same
Y


37. What does linear equation mean?
A V
Equation of a line
The minimum or maximum points
math 4 x - graph


38. What are the calculator instructions for the standard cubic function?
x math 3 graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1
even


39. Why can h not equal zero in the difference of a quotient function formula?
inconsitent
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
parraelle line


40. Standard absolute value - horizontal shift formulas for left and right
Square Root
45 degree angle
f(x+c) and f(x-c)
Y=b


41. What is the domain and range of a constant function?
Three odd - cube root - identity - standard cubic
(-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.
m


42. 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.
perpendicular line
(-infinity - +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


43. $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?
The secant line
(-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
negative inverse


44. what can never equal zero in the slope formula and why?
45 degree angle
The slope of a line containing two points
f(x)=+c and f(x)-c
x2-x1 because the demonaitor of a quotient can never equal zero


45. A flat line underlining one vertical line is a symbol for
The single number y=
(-infinity - +infinity)
perpendicular line
identity


46. Of the seven of algebra's common graph's how many are neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
Y= then enter the number then press graph
Square Root


47. What can we substitute for f(x)?
Y
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
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points


48. Two vertical lines side by side are a symbol for what
f(x)=+c and f(x)-c
x=a
parraelle line
horizontal


49. What type of line is a constant function?
horizontal
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
inconsistant


50. What are the calculator instructions for a standard quadratic equation?
The single number y=
Y
f(x)=suare root of x
Y=x^2 - graph