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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 is the range of the cube root function?
neither
Cannot be drawn in quizlet
Any set of ordered pairs
(-infinity - +infinity)

2. x=all real numbers is what type of an equation?
identity
Set the x and y to zero and get the intercepts and then plot the points
(-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

3. What is the standard quadratic function?
A V
x^2
x math 3 graph
Three odd - cube root - identity - standard cubic

4. What does the square root function look like on a graph?
The single number y=
Y=IxI
x^2
Line ascending to the right gradually

5. What is a relation?
Any set of ordered pairs
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
math 4 x - graph
The single number y=

6. What does linear equation mean?
0<c<1 - horizontal stretching
Piecewise
Equation of a line
function notation

7. What does the average rate of change formula solve?
parraelle line
The slope of a line containing two points
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

8. 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
(-infinity - +infinity)
Y=10
f(x)=x^3

9. Standard absolute value - vertical shift formulas for positve and negative
45 degree angle
function notation
Y= then enter the number then press graph
f(x)=+c and f(x)-c

10. What type of line is an identity function?
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle

11. What is a domain?
function notation
The first set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
only one

12. What type of function would you use to calculate the most advantageous cell phone plan?
horizontal
Piecewise
Y
Y=10

13. What is the formula for an identity function?
[0 -+infinity)
f(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x) = x

14. Is the standard cubic function odd - even or neither?
Y=x^2 - graph
only one
odd
The single number y=

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

16. What type of slope do horizontal lines have?
same
The second set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

17. Is an absolute value function even - odd or neither?
45 degree angle
The second set of components of an ordered pair
even
f(x)=3 square root x

18. What is the domain of a square root function?
[0 -+infinity)
Yes - all the domains points to one range
As equations
The minimum or maximum points

19. What type of slope do you have when a line falls left to right and m<0?
The second set of components of an ordered pair
odd
negative slope
As many as you like

20. What is the domain for the standard cubic function?
undefined
(-infinity - +infinity)
The opposite coordinates
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

21. What is an identity function?
Piecewise
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle

22. What points do you use to plot the inverse on a graph?
Y=IxI
f(x) = x
x=a
The opposite coordinates

23. What is the range for the standard cubic function?
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)
parabola - up one and right three
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

24. What is the formula for to calculate the difference of a quotient function?
2nd catalog (zero key -) abs(x) - graph
f(x+h)-f(x)/h h cannot equal zero
f(x)=3 square root x
x is the hours to repair the boat. $1603-532=anwser/63 = x

25. x= a real number is what type of equation?
same
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.
4 -6 -9
Conditional

26. What is the domain for a standard quadratic function?
(-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.
Any set of ordered pairs
1 -2 -3

27. How do you graph Ax+By+C=0?
Piecewise
(-infinity - +infinity)
x^2
Set the x and y to zero and get the intercepts and then plot the points

28. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
m
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function

29. A flat line underlining one vertical line is a symbol for
even
The minimum or maximum points
perpendicular line
horizontal right

30. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

31. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
parabola - up one and right three
no because you cannot have one domain pointing at two y's or ranges
horizontal right

32. What is the vertical line test?
undefined slope
0<c<1 - horizontal stretching
When does a graph not define y as a function of x?
45 degree angle

33. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
horizontal left
perpendicular line
4 -6 -9
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

34. Which direction does f(x-c) move
horizontal left
horizontal right
negative slope
even

35. What is the formula for the cube root function?
x^2
f(x+h)-f(x)/h h cannot equal zero
f(x)=3 square root x
Three odd - cube root - identity - standard cubic

36. What is the range of the constant function?
The single number y=
even
Y= then enter the number then press graph
Y=b

37. What is the formula for the standard cubic function?
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=x^3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

38. What are the steps for solving a word problem?
odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic
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

39. What is a constant function?
f(x)=+c and f(x)-c
[0 -+infinity)
f(x^1)=f(x^2)
Yes - all the domains points to one range

40. Standard absolute value - horizontal shift formulas for left and right
[0 -+infinity)
45 degree angle
Y=10
f(x+c) and f(x-c)

41. What is the slope intercept formula? Define all the variables.
only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
4 -6 -9
f(x)=+c and f(x)-c

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=10
The secant line
Three odd - cube root - identity - standard cubic
Y

43. how many ranges can you have for each domain?
45 degree angle
only one
Approach neg toward x through zero and above positive close to x
odd

44. What is the range for an absolute value function?
horizontal
parabola - up one and right three
negative slope
(-infinity - 0]U[0 - +infinity)

45. what is a range?
f(x)=IxI
The second set of components of an ordered pair
f(x) = x
x=a

46. What is the domain of an identity function?
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
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Cannot be drawn in quizlet

47. Why can h not equal zero in the difference of a quotient function formula?
negative slope
because the demintor of a quotient can never equal zero
odd
even

48. Of the seven of algebra's common graph's how many are even?
up
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.
Absolute Value - Constant and Standard Quadratic
f of g and g of f

49. What is the range of an identity function?
Yes - all the domains points to one range
The single number y=
function notation
(-infinity - +infinity)

50. What are the algebra of functions?
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Equation of a line
horizontal