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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 formula for the cube root function?
f(x)=3 square root x
Square Root
inconsitent
(-infinity - +infinity)

2. How do you calculate a constant function in your calculator?
odd
inconsistant
Y= then enter the number then press 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

3. What is the range for an absolute value function?
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)
horizontal
45 degree angle

4. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
1 -2 -3
2nd catalog (zero key -) abs(x) - graph
Conditional

5. What type of slope do horizontal lines have?
same
4 -6 -9
Line ascending to the right gradually
only one

6. What is the range of an identity function?
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
(-infinity - +infinity)
The minimum or maximum points
Cannot be drawn in quizlet

7. What type of slope do you have when a line falls left to right and m<0?
parabola
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations
negative slope

8. In an identity function if f(10)=x than what is y?
Y=10
Three odd - cube root - identity - standard cubic
f(x2)-f(x1) / x2-x1
x math 3 graph

9. What is the formula for the standard cubic function?
undefined
Approach neg toward x through zero and above positive close to x
f(x)=x^3
The single number y=

10. What type of slope do vertical lines have?
The secant line
Yes - all the domains points to one range
undefined
Yes because two x's or domains can point to one y

11. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The second set of components of an ordered pair
The slope of a line containing two points
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

12. what can never equal zero in the slope formula and why?
f(x) = x
postiive slope
x2-x1 because the demonaitor of a quotient can never equal zero
parabola

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
45 degree angle
same
20+.05x=5+.10x x=minutes

14. What does the graph of the cube root function look like on the graph?
even
same
math 4 x - graph
Approach neg toward x through zero and above positive close to x

15. What is the slope intercept formula? Define all the variables.
The minimum or maximum points
As equations
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x=a

16. What does the square root function look like on a graph?
Y=x^2 - graph
Y= then enter the number then press graph
(-infinity - +infinity)
Line ascending to the right gradually

17. What is the range for the standard cubic function?
(-infinity - +infinity)
undefined slope
f(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1

18. Draw or discuss a decreasing function
The second set of components of an ordered pair
Cannot be drawn in quizlet
Piecewise
Y=IxI

19. What does linear equation mean?
Equation of a line
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Absolute Value - Constant and Standard Quadratic

20. Is the square root function odd - even or neither?
Equation of a line
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)
neither

21. What is the vertex?
The minimum or maximum points
Piecewise
horizontal
A line passing through two distinct points

22. Is an identity function even - odd or neither?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
odd
f(x)=x^3

23. Of the seven of algebra's common graph's how many are odd?
(-infinity - 0]U[0 - +infinity)
Three odd - cube root - identity - standard cubic
up
Any set of ordered pairs

24. x=all real numbers is what type of an equation?
x=a
identity
odd
(-infinity - +infinity)

25. What is the range of the cube root function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
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.

26. What are the four steps for solving a linear equation?
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.
The second set of components of an ordered pair
A V
Conditional

27. What is the formula for an absolute value function?
Yes because two x's or domains can point to one y
(-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.
f(x)=IxI

28. Two vertical lines side by side are a symbol for what
undefined
x math 3 graph
(-infinity - 0]U[0 - +infinity)
parraelle line

29. What is the range for a standard quadratic function?
20+.05x=5+.10x x=minutes
The second set of components of an ordered pair
The first set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)

30. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
up
x2-x1 because the demonaitor of a quotient can never equal zero
undefined

31. What type of slope do you have when a line rises from left to right and m>0?
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
m
The slope of a line containing two points
postiive slope

32. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The opposite coordinates
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(f+g) - (f-g) - (fg) - (f/g) all of x

33. Is the standard cubic function odd - even or neither?
perpendicular line
(-infinity - +infinity)
odd
1 -2 -3

34. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
m

35. y=f(cx) what does this formula represent?
postiive slope
down
no because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching

36. y=f(cx) - what does this formula represent?
undefined slope
odd
[0 -+infinity)
C>1 - horizontal shrinking

37. How are functions normally written?
The single number y=
As equations
A line passing through two distinct points
The second set of components of an ordered pair

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

39. 4x+5x=8x is what type of an equation?
identity
Conditional
f(x+h)-f(x)/h h cannot equal zero
As equations

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
The secant line
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

41. f(x) = x^2+3x+5 - what type of formula is this?
function notation
f(x)=+c and f(x)-c
(-infinity - +infinity)
Yes - all the domains points to one range

42. how many ranges can you have for each domain?
m
Line ascending to the right gradually
only one
math 4 x - graph

43. What is the domain and range of a constant function?
Y
Yes because two x's or domains can point to one y
even
(-infinity - +infinity)

44. What is the standard quadratic function?
in a quotient
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.
x^2
Cannot be drawn in quizlet

45. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
Yes because two x's or domains can point to one y
f(x) = x
Piecewise

46. what is the letter used to represent slope?
horizontal right
f(x+h)-f(x)/h h cannot equal zero
m
(-infinity - +infinity)

47. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=3 square root x
function notation
x = the original sale price and the formula is x - .40x =$276
Y=10

48. Draw or discuss an increasing function
Cannot be drawn in quizlet
Conditional
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1

49. What is a domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair

50. What type of function would you use to calculate the most advantageous cell phone plan?
The first set of components of an ordered pair
Piecewise
Y=b
Cannot be drawn in quizlet