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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 four steps for solving a linear equation?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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 -+infinity)
zero slope

2. What type of slope do vertical lines have?
A V
Y=x - identity function
undefined
f(x2)-f(x1) / x2-x1

3. Draw or discuss an increasing function
Cannot be drawn in quizlet
even
Y
because the demintor of a quotient can never equal zero

4. What points do you use to plot the inverse on a graph?
even
The opposite coordinates
f(x2)-f(x1) / x2-x1
negative slope

5. 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.
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x

6. What is an identity function?
because the demintor of a quotient can never equal zero
identity
no because you cannot have one domain pointing at two y's or ranges
45 degree angle

7. Is the square root function odd - even or neither?
neither
(-infinity - +infinity)
same
parabola

8. How do you graph Ax+By+C=0?
even
odd
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

9. 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
As equations
f(x+c) and f(x-c)
inconsitent

10. What direction does f(x)-c move in standard absolute value formula?
Absolute Value - Constant and Standard Quadratic
down
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y

11. What are the calculator instructions for absolute value?
horizontal
2nd catalog (zero key -) abs(x) - graph
horizontal right
f(x+h)-f(x)/h h cannot equal zero

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this 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)=3 square root x
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes - all the domains points to one range

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - 0]U[0 - +infinity)
only one
Y=b
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What type of line is a constant function?
parabola
The secant line
horizontal
even

15. What are the calculator instructions for a standard quadratic equation?
x=a
Y=x^2 - graph
x2-x1 because the demonaitor of a quotient can never equal zero
horizontal

16. What is the standard quadratic function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Conditional
x^2

17. Is an absolute value function even - odd or neither?
negative inverse
even
f(x)=3 square root x
odd

18. Of the seven of algebra's common graph's how many are even?
x^2
Absolute Value - Constant and Standard Quadratic
f(x) = x
zero slope

19. What is the formula for the standard cubic function?
Conditional
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
f(x)=x^3
As equations

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x
function notation
1 -2 -3

21. What are the calculator instructions for the standard cubic function?
f(x)=+c and f(x)-c
x is the hours to repair the boat. $1603-532=anwser/63 = x
[0 -+infinity)
x math 3 graph

22. What is the horizontal line formula?
Y=b
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x
Y

23. How do you calculate a constant function in your calculator?
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= then enter the number then press graph
Line ascending to the right gradually
Conditional

24. 4(x-7)=4x-28 is what type of an equation?
identity
(-infinity - +infinity)
Y
m

25. 4(x-7)=4x+28 is what type of an equation?
inconsitent
A V
neither
x^2

26. What is the formula for to calculate the difference of a quotient function?
(-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
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph

27. f(x) = x^2+3x+5 - what type of formula is this?
down
perpendicular line
When does a graph not define y as a function of x?
function notation

28. what is the letter used to represent slope?
undefined
The secant line
As equations
m

29. How would this formula move f(x)=(x+1)^2-3
The second set of components of an ordered pair
horizontal
f(x)=IxI
parabola - up one and right three

30. What shape is the standard quadratic function?
Y= then enter the number then press graph
parabola
Y=IxI
same

31. What are the algebra of functions?
Y=10
Piecewise
x^2
(f+g) - (f-g) - (fg) - (f/g) all of x

32. y=f(cx) what does this formula represent?
f(x)=x^3
2nd key - x^2 - graph
0<c<1 - horizontal stretching
f(x^1)=f(x^2)

33. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
Line ascending to the right gradually
perpendicular line
odd

34. x=no real numbers is what type of an equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
in a quotient
inconsistant
The slope of a line containing two points

35. 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.
function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
no because you cannot have one domain pointing at two y's or ranges

36. What does linear equation mean?
m
Equation of a line
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
x^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x+h)-f(x)/h h cannot equal zero

38. how many ranges can you have for each domain?
(-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
2nd key - x^2 - graph
only one

39. What are the calculator instructions for a square root function?
The secant line
As equations
2nd key - x^2 - graph
horizontal

40. What type of slope do you have when a line falls left to right and m<0?
negative slope
The second set of components of an ordered pair
The minimum or maximum points
(-infinity - 0]U[0 - +infinity)

41. Draw or discuss a decreasing function
Change in y / change in x = rise / run = y2-y1 / x2-x1
The opposite coordinates
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph

42. What is the domain of an identity function?
(-infinity - +infinity)
f(x)=x^3
As equations
f(x+c) and f(x-c)

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?
Mirror image neg quadrant to that of the positive quandrant
postiive slope
math 4 x - 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

44. What are the four steps for finding the inverse of a function?
(-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
As many as you like
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. x= a real number is what type of equation?
Conditional
A line passing through two distinct points
f(x)=+c and f(x)-c
odd

46. What is the range of a square root function?
(-infinity - +infinity)
perpendicular line
[0 -+infinity)
even

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

48. What type of function would you use to calculate the most advantageous cell phone plan?
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
Piecewise
Three odd - cube root - identity - standard cubic
0<c<1 - horizontal stretching

49. What is slope?
only one
A line passing through two distinct points
horizontal
Y=x^2 - graph

50. What are the steps for solving a word problem?
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)
(-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