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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 for an absolute value function?
(-infinity - 0]U[0 - +infinity)
Equation of a line
f(x)=suare root of x
even

2. Is a constant function even - odd or neither?
As equations
inconsistant
even
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

3. What is the domain for a standard quadratic function?
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
f(x^1)=f(x^2)
(-infinity - +infinity)

4. x= a real number is what type of equation?
Conditional
Piecewise
Absolute Value - Constant and Standard Quadratic
As equations

5. When is the only time (-infinity - +infinity) is not the domain?
The single number y=
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
Square Root
in a quotient

6. y=f(cx) - what does this formula represent?
Y=x - identity function
negative slope
C>1 - horizontal shrinking
in a quotient

7. Which direction does f(x+c) move
horizontal left
identity
negative slope
(-infinity - +infinity)

8. how many ranges can you have for each domain?
odd
only one
The single number y=
Absolute Value - Constant and Standard Quadratic

9. What is the slope of a perpendicular line?
negative inverse
identity
Conditional
no because you cannot have one domain pointing at two y's or ranges

10. what can never equal zero in the slope formula and why?
parabola - up one and right three
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3

11. What type of slope do you have when a line falls left to right and m<0?
horizontal right
f(x+h)-f(x)/h h cannot equal zero
negative slope
neither

12. What does the average rate of change formula solve?
(-infinity - +infinity)
Y=10
The slope of a line containing two points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. Of the seven of algebra's common graph's how many are neither?
Square Root
negative slope
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph

14. What are the four steps for finding the inverse of a function?
parabola - up one and right three
f(x)=3 square root x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(f+g) - (f-g) - (fg) - (f/g) all of x

15. What are the calculator instructions for the cube root function?
Approach neg toward x through zero and above positive close to x
math 4 x - graph
odd
f of g and g of f

16. 4x+5x=8x is what type of an equation?
Line ascending to the right gradually
Conditional
Y
Y= then enter the number then press graph

17. What is the range of the cube root function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
function notation
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.

18. What are the four steps for solving a linear equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parraelle line
20+.05x=5+.10x x=minutes
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.

19. What type of line is a constant function?
x^2
45 degree angle
neither
horizontal

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

21. Of the seven of algebra's common graph's how many are odd?
horizontal
Three odd - cube root - identity - standard cubic
The single number y=
Y=IxI

22. how many domains can you have pointing to one range?
As many as you like
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
even

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
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)
C>1 - horizontal shrinking

24. What does linear equation mean?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
Equation of a line
Line ascending to the right gradually

25. y=f(cx) what does this formula represent?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
0<c<1 - horizontal stretching

26. Draw or discuss an increasing function
Cannot be drawn in quizlet
undefined
Yes because two x's or domains can point to one y
x2-x1 because the demonaitor of a quotient can never equal zero

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
even
(-infinity - 0]U[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph

28. What is the formula for the square root function?
only one
f(x)=suare root of x
Y=10
odd

29. Is a standard quadratic function even - odd or neither?
even
C>1 - horizontal shrinking
horizontal right
Mirror image neg quadrant to that of the positive quandrant

30. What is the standard quadratic function?
45 degree angle
x^2
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1

31. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
only one
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=IxI

32. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes
down
Cannot be drawn in quizlet

33. 4(x-7)=4x+28 is what type of an equation?
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
inconsitent
negative inverse
Absolute Value - Constant and Standard Quadratic

34. What is the point slope formula and when do you use it?
A V
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
perpendicular line

35. What points do you use to plot the inverse on a graph?
horizontal right
The opposite coordinates
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

36. What are two examples of composit functions?
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
(-infinity - +infinity)
f of g and g of f

37. How do you calculate a constant function in your calculator?
x math 3 graph
parabola - up one and right three
Y= then enter the number then press graph
neither

38. What can we substitute for f(x)?
Y
f(x)=+c and f(x)-c
f(x) = x
inconsitent

39. What does the graph of the cube root function look like on the graph?
neither
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x

40. 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
Yes - all the domains points to one range
As many as you like
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

41. Which direction does f(x-c) move
function notation
Yes because two x's or domains can point to one y
horizontal right
As many as you like

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

43. Draw or discuss a constant function
1 -2 -3
Cannot be drawn in quizlet
horizontal
Mirror image neg quadrant to that of the positive quandrant

44. What direction does f(x)-c move in standard absolute value formula?
identity
down
Conditional
(-infinity - 0]U[0 - +infinity)

45. What are the algebra of functions?
A V
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y

46. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=+c and f(x)-c
When does a graph not define y as a function of x?

47. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
function notation
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

48. what is a range?
0<c<1 - horizontal stretching
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
postiive slope
The second set of components of an ordered pair

49. What is the formula for an identity function?
f(x) = x
Piecewise
horizontal left
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

50. What type of line is a constant function?
identity
horizontal
f(x)=+c and f(x)-c
(-infinity - +infinity)