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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 does linear equation mean?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root
Equation of a line
math 4 x - graph

2. x=no real numbers is what type of an equation?
horizontal right
Cannot be drawn in quizlet
Conditional
inconsistant

3. What is the formula for an identity function?
Line ascending to the right gradually
f(x) = x
A line passing through two distinct points
horizontal left

4. In an identity function if f(10)=x than what is y?
Y=b
Y=10
Yes - all the domains points to one range
(-infinity - +infinity)

5. What is another way to write f(x)=x - what type of function is this?
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=x - identity function
x math 3 graph
Any set of ordered pairs

6. What are two examples of composit functions?
f(x) = x
x math 3 graph
parraelle line
f of g and g of f

7. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

8. What is the domain of an identity function?
even
(-infinity - +infinity)
even
Cannot be drawn in quizlet

9. What are the calculator instructions for the cube root function?
1 -2 -3
math 4 x - graph
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph

10. What is a function?
x^2
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
(-infinity - +infinity)

11. Draw or discuss a constant function
Cannot be drawn in quizlet
[0 -+infinity)
When does a graph not define y as a function of x?
Line ascending to the right gradually

12. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
f(x) = x
The single number y=
(-infinity - +infinity)

13. 4(x-7)=4x+28 is what type of an equation?
inconsitent
undefined
Cannot be drawn in quizlet
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

14. When is the only time (-infinity - +infinity) is not the domain?
The opposite coordinates
The single number y=
Set the x and y to zero and get the intercepts and then plot the points
in a quotient

15. What is the domain of a square root function?
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3
(-infinity - +infinity)

16. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
inconsistant
horizontal left
down

17. What is the formula for an absolute value function?
[0 -+infinity)
f(x)=IxI
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
horizontal left

18. What is a relation?
Any set of ordered pairs
Cannot be drawn in quizlet
inconsistant
(-infinity - +infinity)

19. Of the seven of algebra's common graph's how many are neither?
Square Root
2nd key - x^2 - graph
f(x2)-f(x1) / x2-x1
f(x+c) and f(x-c)

20. A flat line underlining one vertical line is a symbol for
perpendicular line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

21. x=all real numbers is what type of an equation?
even
identity
The first set of components of an ordered pair
f(x)=+c and f(x)-c

22. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. What is the range of the constant function?
identity
C>1 - horizontal shrinking
The single number y=
(-infinity - +infinity)

24. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
A V
Yes - all the domains points to one range
f(x)=x^3

25. What is the standard quadratic function?
The secant line
x^2
45 degree angle
2nd key - x^2 - graph

26. Is an absolute value function even - odd or neither?
Y= then enter the number then press graph
[0 -+infinity)
even
same

27. What is the range of an identity function?
Line ascending to the right gradually
The first set of components of an ordered pair
(-infinity - +infinity)
When does a graph not define y as a function of x?

28. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=IxI
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What type of slope do vertical lines have?
odd
undefined
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
f of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity

31. What is the formula for to calculate the difference of a quotient function?
math 4 x - graph
20+.05x=5+.10x x=minutes
f(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair

32. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
(-infinity - +infinity)
horizontal right
down

33. What does the graph of the cube root function look like on the graph?
negative inverse
Approach neg toward x through zero and above positive close to x
parabola - up one and right three
45 degree angle

34. what is a range?
The slope of a line containing two points
Conditional
The second set of components of an ordered pair
45 degree angle

35. What type of line is an identity function?
45 degree angle
Y= then enter the number then press graph
The first set of components of an ordered pair
math 4 x - graph

36. What shape is the standard quadratic function?
parabola
The first set of components of an ordered pair
(-infinity - +infinity)
math 4 x - graph

37. Which direction does f(x)=+c move in standard absolute value formula?
up
perpendicular line
f(x2)-f(x1) / x2-x1
x=a

38. What is a domain?
(-infinity - +infinity)
horizontal right
odd
The first set of components of an ordered pair

39. y=f(cx) what does this formula represent?
A line passing through two distinct points
f(x)=suare root of x
0<c<1 - horizontal stretching
even

40. What is an identity function?
A V
45 degree angle
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

41. What does the absolute value function look like?
A V
f(x+h)-f(x)/h h cannot equal zero
inconsitent
f of g and g of f

42. what is the formula for slope?
A line passing through two distinct points
Y= then enter the number then press graph
odd
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. What is the average rate of change formula?
f(x)=+c and f(x)-c
f(x2)-f(x1) / x2-x1
The minimum or maximum points
horizontal

44. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
A V
Any set of ordered pairs
f(x+c) and f(x-c)
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

45. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
identity
f(x+h)-f(x)/h h cannot equal zero
C>1 - horizontal shrinking
x is the hours to repair the boat. $1603-532=anwser/63 = x

46. What type of line is a constant function?
horizontal right
horizontal
Any set of ordered pairs
Conditional

47. What is the domain of the cube root function?
only one
Y=x - identity function
(-infinity - +infinity)
f(x^1)=f(x^2)

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
odd
1 -2 -3
horizontal left
Piecewise

49. What is the range for an absolute value function?
Y=x - identity function
4 -6 -9
(-infinity - 0]U[0 - +infinity)
As equations

50. what is the letter used to represent slope?
negative slope
Cannot be drawn in quizlet
m
[0 -+infinity)