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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 type of slope do vertical lines have?
undefined
Conditional
f(x)=suare root of x
horizontal left

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

3. What are the calculator instructions for the standard cubic function?
x^2
x math 3 graph
down
negative inverse

4. What are the steps for solving a word problem?
inconsitent
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
Approach neg toward x through zero and above positive close to x
no because you cannot have one domain pointing at two y's or ranges

5. Two vertical lines side by side are a symbol for what
x=a
f(x+h)-f(x)/h h cannot equal zero
parraelle line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

6. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Yes - all the domains points to one range
up
The secant line
As equations

7. y=f(cx) what does this formula represent?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
0<c<1 - horizontal stretching
parabola - up one and right three

8. How are functions normally written?
identity
f(x) = x
The minimum or maximum points
As equations

9. What is a constant function?
f(x^1)=f(x^2)
f(x+c) and f(x-c)
parraelle line
odd

10. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
inconsitent
The opposite coordinates
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

11. What is another way to write f(x)=x - what type of function is this?
The second set of components of an ordered pair
f(x)=x^3
Y=x - identity function
down

12. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes because two x's or domains can point to one y
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points

13. What is the formula for the square root function?
f(x)=suare root of x
f(x^1)=f(x^2)
Equation of a line
As equations

14. What type of slope do you have when the line is horizontal and m=0?
parabola - up one and right three
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
zero slope

15. Draw or discuss an increasing 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)
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet

16. What is the formula for the cube root function?
(-infinity - +infinity)
x math 3 graph
f(x)=3 square root x
f(x2)-f(x1) / x2-x1

17. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
As many as you like
identity
parabola - up one and right three

18. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
neither
4 -6 -9

19. What is the range for an absolute value function?
Y=b
(-infinity - 0]U[0 - +infinity)
0<c<1 - horizontal stretching
A line passing through two distinct points

20. What is the formula for the standard cubic function?
function notation
Square Root
f(x)=x^3
The first set of components of an ordered pair

21. 4(x-7)=4x+28 is what type of an equation?
negative slope
inconsitent
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.
Y=IxI

22. Draw or discuss a constant function
Cannot be drawn in quizlet
As equations
even
(-infinity - +infinity)

23. Draw or discuss a decreasing function
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet
inconsistant

24. What is the domain and range of a constant function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations
(-infinity - +infinity)
Y=10

25. Why can h not equal zero in the difference of a quotient function formula?
Y
because the demintor of a quotient can never equal zero
odd
Conditional

26. What is the range of an identity function?
in a quotient
horizontal
(-infinity - +infinity)
Y=IxI

27. What is a function?
Square Root
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x = the original sale price and the formula is x - .40x =$276
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

28. What is the vertical line test?
Square Root
(-infinity - +infinity)
When does a graph not define y as a function of x?
m

29. Is a constant function even - odd or neither?
horizontal
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
The single number y=

30. What are the calculator instructions for a square root function?
Square Root
Conditional
(-infinity - +infinity)
2nd key - x^2 - graph

31. What is the vertical line formula?
even
x=a
odd
because the demintor of a quotient can never equal zero

32. Is the standard cubic function odd - even or neither?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)
odd
(-infinity - 0]U[0 - +infinity)

33. y=f(cx) - what does this formula represent?
zero slope
Y=10
f(x)=IxI
C>1 - horizontal shrinking

34. What are two examples of composit functions?
identity
f of g and g of f
Y= then enter the number then press graph
[0 -+infinity)

35. x= a real number is what type of equation?
The secant line
odd
Conditional
The minimum or maximum points

36. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero
x=a

37. What type of line is a constant function?
negative inverse
Cannot be drawn in quizlet
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.
horizontal

38. Which direction does f(x+c) move
horizontal left
only one
no because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet

39. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
horizontal right
x = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair
horizontal

40. 4(x-7)=4x-28 is what type of an equation?
because the demintor of a quotient can never equal zero
identity
Yes because two x's or domains can point to one y
f(x+c) and f(x-c)

41. How would this formula move f(x)=(x+1)^2-3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line
parabola - up one and right three
down

42. $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?
A V
f(x)=+c and f(x)-c
Y=b
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

43. What is the range for a standard quadratic function?
same
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal

44. What is another way of writing the absolute value function?
negative inverse
identity
Y=IxI
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

45. What is slope?
inconsitent
Three odd - cube root - identity - standard cubic
The secant line
A line passing through two distinct points

46. What does the square root function look like on a graph?
20+.05x=5+.10x x=minutes
Y=x - identity function
Line ascending to the right gradually
Y

47. What is the vertex?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The minimum or maximum points
f(x)=suare root of x
f of g and g of f

48. What is the domain for a standard quadratic function?
f(x^1)=f(x^2)
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
The single number y=

49. What type of slope do horizontal lines have?
2nd catalog (zero key -) abs(x) - graph
1 -2 -3
same
(-infinity - +infinity)

50. What does the average rate of change formula solve?
no because you cannot have one domain pointing at two y's or ranges
in a quotient
because the demintor of a quotient can never equal zero
The slope of a line containing two points