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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 the absolute value function look like?
Square Root
because the demintor of a quotient can never equal zero
A V
(-infinity - +infinity)

2. y=f(cx) - what does this formula represent?
perpendicular line
even
A V
C>1 - horizontal shrinking

3. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function
identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

4. What is a domain?
up
f(x)=x^3
The first set of components of an ordered pair
f(x)=suare root of x

5. What are two examples of composit functions?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=x^3
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f of g and g of f

6. Is an absolute value function even - odd or neither?
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Absolute Value - Constant and Standard Quadratic
Yes because two x's or domains can point to one y

7. Draw or discuss an increasing function
inconsistant
Cannot be drawn in quizlet
identity
f(x)=3 square root x

8. What is the domain and range of a constant function?
0<c<1 - horizontal stretching
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity

9. Which direction does f(x)=+c move in standard absolute value formula?
Y= then enter the number then press graph
f(x+h)-f(x)/h h cannot equal zero
function notation
up

10. 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
in a quotient
perpendicular line
20+.05x=5+.10x x=minutes

11. x=all real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
identity
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

12. What is a function?
parabola - up one and right three
(-infinity - +infinity)
function notation
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. What is the formula for an identity function?
(-infinity - 0]U[0 - +infinity)
f(x) = x
Cannot be drawn in quizlet
Yes - all the domains points to one range

14. What are the four steps for solving a linear equation?
Conditional
As equations
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.
even

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Equation of a line
undefined slope
Set the x and y to zero and get the intercepts and then plot the points

16. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)
Y=x^2 - graph

17. how many domains can you have pointing to one range?
As many as you like
Y
2nd key - x^2 - graph
f(x)=suare root of x

18. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
same
x = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x

19. What shape is the standard quadratic function?
Equation of a line
parabola
(-infinity - +infinity)
Yes - all the domains points to one range

20. Draw or discuss a constant function
1 -2 -3
The minimum or maximum points
Cannot be drawn in quizlet
(-infinity - +infinity)

21. How do you graph Ax+By+C=0?
f(x)=x^3
Any set of ordered pairs
even
Set the x and y to zero and get the intercepts and then plot the points

22. What direction does f(x)-c move in standard absolute value formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Any set of ordered pairs
(f+g) - (f-g) - (fg) - (f/g) all of x
down

23. What is another way to write f(x)=x - what type of function is this?
Equation of a line
Line ascending to the right gradually
Y=x - identity function
Y=IxI

24. What is the formula for the cube root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=3 square root x
f(x+c) and f(x-c)
Piecewise

25. 4x+5x=8x is what type of an equation?
negative slope
Conditional
The single number y=
f(x)=IxI

26. What is the domain of a square root function?
inconsitent
[0 -+infinity)
(-infinity - +infinity)
(-infinity - +infinity)

27. f(x) = x^2+3x+5 - what type of formula is this?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points
f of g and g of f
function notation

28. What is the range of the cube root function?
f(x)=suare root of x
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

29. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
horizontal
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

30. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
in a quotient
Absolute Value - Constant and Standard Quadratic
The opposite coordinates

31. What are the calculator instructions for the standard cubic function?
x math 3 graph
Yes - all the domains points to one range
0<c<1 - horizontal stretching
zero slope

32. What are the steps for solving a word problem?
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
[0 -+infinity)
Any set of ordered pairs
(-infinity - +infinity)

33. What can we substitute for f(x)?
zero slope
x2-x1 because the demonaitor of a quotient can never equal zero
Y
Three odd - cube root - identity - standard cubic

34. What is the formula for the square root function?
identity
1 -2 -3
Cannot be drawn in quizlet
f(x)=suare root of x

35. What type of slope do you have when the line is horizontal and m=0?
zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=b
perpendicular line

36. Which direction does f(x+c) move
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal left
Piecewise
identity

37. What is the formula in both horizontal stretching and horizontal shrinking?
undefined
odd
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Three odd - cube root - identity - standard cubic

38. $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?
Three odd - cube root - identity - standard cubic
A V
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
Square Root

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
same
Yes - all the domains points to one range

40. What is a constant function?
odd
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
f(x^1)=f(x^2)
A line passing through two distinct points

41. What type of line is a constant function?
horizontal left
in a quotient
math 4 x - graph
horizontal

42. What does linear equation mean?
undefined
negative inverse
identity
Equation of a line

43. how many ranges can you have for each domain?
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
only one
[0 -+infinity)

44. What is the formula for the standard cubic function?
horizontal
x=a
f(x)=x^3
The secant line

45. Is the standard cubic function odd - even or neither?
Absolute Value - Constant and Standard Quadratic
odd
negative inverse
down

46. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI

47. What is a relation?
The slope of a line containing two points
f(x^1)=f(x^2)
45 degree angle
Any set of ordered pairs

48. What is the range of an identity function?
x^2
(-infinity - +infinity)
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
even

49. What does the average rate of change formula solve?
f(x)=suare root of x
(-infinity - +infinity)
The slope of a line containing two points
Yes - all the domains points to one range

50. What are the calculator instructions for the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
math 4 x - graph
parraelle line
f(x)=x^3