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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. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
f of g and g of f
x^2
down

2. $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?
Line ascending to the right gradually
Cannot be drawn in quizlet
identity
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 type of slope do horizontal lines have?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
When does a graph not define y as a function of x?
Y=IxI
same

4. how many domains can you have pointing to one range?
As many as you like
Piecewise
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=10

5. x=no real numbers is what type of an equation?
undefined slope
inconsistant
(-infinity - +infinity)
Yes - all the domains points to one range

6. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
math 4 x - graph
Y= then enter the number then press graph
x = the original sale price and the formula is x - .40x =$276
As many as you like

7. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
f(x^1)=f(x^2)
m

8. What is an identity function?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
45 degree angle
Y=x^2 - graph

9. What can we substitute for f(x)?
identity
f(x)=x^3
Y
perpendicular line

10. What is the vertex?
4 -6 -9
(-infinity - +infinity)
The minimum or maximum points
20+.05x=5+.10x x=minutes

11. What is the formula for an identity function?
f(x)=+c and f(x)-c
(-infinity - +infinity)
Conditional
f(x) = x

12. What is the domain of the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
f(x)=suare root of x
(-infinity - +infinity)
function notation

13. What is the range for the standard cubic function?
inconsistant
same
Y=x - identity function
(-infinity - +infinity)

14. What is the range of the constant function?
(-infinity - +infinity)
The second set of components of an ordered pair
The single number y=
Yes because two x's or domains can point to one y

15. What is the formula for the standard cubic function?
f(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
undefined slope

16. What is the domain of an identity function?
negative inverse
(-infinity - +infinity)
same
undefined

17. Draw or discuss an increasing function
in a quotient
horizontal left
up
Cannot be drawn in quizlet

18. What type of slope do you have when a line falls left to right and m<0?
negative slope
0<c<1 - horizontal stretching
The first set of components of an ordered pair
horizontal

19. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
same
odd

20. What is the range of an identity function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function
Any set of ordered pairs
(-infinity - +infinity)

21. x=all real numbers is what type of an equation?
Y
identity
Y=10
The opposite coordinates

22. What are two examples of composit functions?
f of g and g of f
even
x=a
(-infinity - +infinity)

23. What type of slope do you have when the line is horizontal and m=0?
no because you cannot have one domain pointing at two y's or ranges
zero slope
A V
(-infinity - +infinity)

24. What is the slope of a perpendicular line?
identity
Y=b
negative inverse
(-infinity - +infinity)

25. What are the calculator instructions for absolute value?
Square Root
2nd catalog (zero key -) abs(x) - graph
As equations
f(x)=x^3

26. What is the vertical line formula?
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
20+.05x=5+.10x x=minutes
x=a

27. What are the four steps for finding the inverse of a 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)
f(x)=+c and f(x)-c
negative inverse

28. What is the horizontal line formula?
Y=b
4 -6 -9
When does a graph not define y as a function of x?
(-infinity - +infinity)

29. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
The secant line
down
1 -2 -3

30. What is a constant function?
f(x^1)=f(x^2)
f(x2)-f(x1) / x2-x1
in a quotient
Equation of a line

31. Is a constant function even - odd or neither?
4 -6 -9
The secant line
even
0<c<1 - horizontal stretching

32. What shape is the standard quadratic function?
[0 -+infinity)
Piecewise
parabola
identity

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

34. What is slope?
A line passing through two distinct points
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
Conditional

35. What is the point slope formula and when do you use it?
(-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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
even

36. Is the standard cubic function odd - even or neither?
The secant line
Yes - all the domains points to one range
f(x)=3 square root x
odd

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

38. What does linear equation mean?
horizontal
Cannot be drawn in quizlet
Equation of a line
math 4 x - graph

39. What is the domain for a standard quadratic function?
neither
postiive slope
(-infinity - +infinity)
inconsitent

40. What does the absolute value function look like?
even
up
A V
As equations

41. What type of slope do vertical lines have?
inconsistant
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b
undefined

42. What type of slope do you have when m=? and the line is vertical?
undefined slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
Square Root

43. What is the standard quadratic 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
(-infinity - +infinity)
x^2
Y

44. What is the slope intercept formula? Define all the variables.
Y= then enter the number then press graph
45 degree angle
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

45. Is an identity function even - odd or neither?
odd
f(x)=suare root of x
x2-x1 because the demonaitor of a quotient can never equal zero
undefined

46. How would this formula move f(x)=(x+1)^2-3
C>1 - horizontal shrinking
parabola - up one and right three
As equations
negative slope

47. how many ranges can you have for each domain?
same
only one
The secant line
(-infinity - +infinity)

48. Draw or discuss a decreasing function
Piecewise
(-infinity - 0]U[0 - +infinity)
even
Cannot be drawn in quizlet

49. What direction does f(x)-c move in standard absolute value formula?
down
2nd key - x^2 - graph
f of g and g of f
inconsitent

50. Standard absolute value - horizontal shift formulas for left and right
0<c<1 - horizontal stretching
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)