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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 a range?
0<c<1 - horizontal stretching
The second set of components of an ordered pair
A V
odd

2. What is the range of an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)

3. What can we substitute for f(x)?
Y
0<c<1 - horizontal stretching
(-infinity - 0]U[0 - +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.

4. Of the seven of algebra's common graph's how many are even?
f(x)=IxI
The opposite coordinates
Absolute Value - Constant and Standard Quadratic
x = the original sale price and the formula is x - .40x =$276

5. Standard absolute value - horizontal shift formulas for left and right
inconsistant
45 degree angle
f(x+c) and f(x-c)
Conditional

6. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
4 -6 -9
Y=x - identity function
even

7. What is the vertex?
(-infinity - +infinity)
The minimum or maximum points
The secant line
odd

8. Is the standard cubic function odd - even or neither?
Piecewise
odd
undefined slope
Y=10

9. What type of line is an identity function?
45 degree angle
inconsistant
Three odd - cube root - identity - standard cubic
odd

10. What is an identity function?
horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
up

11. Draw or discuss an increasing function
no because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
negative inverse

12. 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
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - +infinity)

13. What are the algebra of functions?
identity
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations

14. What does the graph of the cube root function look like on the graph?
As many as you like
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
0<c<1 - horizontal stretching

15. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As many as you like
Line ascending to the right gradually
f of g and g of f

16. What type of function would you use to calculate the most advantageous cell phone plan?
C>1 - horizontal shrinking
math 4 x - graph
Piecewise
even

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

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18. What shape is the standard quadratic function?
Y=10
f(x)=3 square root x
Y=x - identity function
parabola

19. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Yes because two x's or domains can point to one y
math 4 x - graph
The secant line
The second set of components of an ordered pair

20. 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
4 -6 -9
As many as you like
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

21. what is the formula for slope?
(-infinity - +infinity)
x=a
f(x^1)=f(x^2)
Change in y / change in x = rise / run = y2-y1 / x2-x1

22. What is the domain of a square root function?
Piecewise
in a quotient
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

23. Is an absolute value function even - odd or neither?
even
parabola - up one and right three
same
Y=b

24. What is a constant function?
horizontal left
f of g and g of f
f(x^1)=f(x^2)
f(x)=IxI

25. What is the domain for a standard quadratic function?
function notation
(-infinity - +infinity)
Line ascending to the right gradually
math 4 x - graph

26. What is a domain?
2nd key - x^2 - graph
The first set of components of an ordered pair
only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
neither
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
Y=IxI

28. f(x) = x^2+3x+5 - what type of formula is this?
4 -6 -9
function notation
[0 -+infinity)
The minimum or maximum points

29. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

30. What type of slope do you have when m=? and the line is vertical?
even
inconsistant
x math 3 graph
undefined slope

31. Of the seven of algebra's common graph's how many are odd?
x=a
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
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.

32. Which direction does f(x-c) move
Mirror image neg quadrant to that of the positive quandrant
As many as you like
horizontal right
(-infinity - +infinity)

33. y=f(cx) - what does this formula represent?
The secant line
C>1 - horizontal shrinking
The first set of components of an ordered pair
(-infinity - +infinity)

34. What are two examples of composit functions?
Y=IxI
The minimum or maximum points
f of g and g of f
inconsitent

35. What type of slope do vertical lines have?
(-infinity - +infinity)
parabola
parraelle line
undefined

36. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Approach neg toward x through zero and above positive close to x
4 -6 -9
because the demintor of a quotient can never equal zero
The minimum or maximum points

37. Of the seven of algebra's common graph's how many are neither?
2nd catalog (zero key -) abs(x) - graph
As equations
f(x+c) and f(x-c)
Square Root

38. What is the formula for the square root function?
horizontal right
horizontal
f(x)=suare root of x
(-infinity - 0]U[0 - +infinity)

39. A flat line underlining one vertical line is a symbol for
down
odd
perpendicular line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. What is the range of the constant function?
Three odd - cube root - identity - standard cubic
parabola
The single number y=
f(x^1)=f(x^2)

41. What is the formula for an identity function?
f(x) = x
(-infinity - +infinity)
0<c<1 - horizontal stretching
in a quotient

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?
x2-x1 because the demonaitor of a quotient can never equal zero
down
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
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.

43. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
up
2nd catalog (zero key -) abs(x) - graph

44. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
2nd key - x^2 - graph
f(x)=+c and f(x)-c
Y= then enter the number then press graph

45. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
even

46. What equation does every line have? Discuss the variables.
only one
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.
x2-x1 because the demonaitor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. 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
1 -2 -3
f(x)=x^3
45 degree angle

48. What is the formula for an absolute value function?
f(x)=IxI
undefined
45 degree angle
Equation of a line

49. What type of slope do you have when a line falls left to right and m<0?
f(x)=x^3
Any set of ordered pairs
negative slope
Equation of a line

50. What is the range for an absolute value function?
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly