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College Algebra Test

Subjects : math, algebra

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. Why can h not equal zero in the difference of a quotient function formula?
Identity
X=a
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

2. What type of slope do you have when a line rises from left to right and m>0?
In a quotient
Parabola
Equation of a line
Postiive slope

3. What is the vertex?
The minimum or maximum points
C>1 - horizontal shrinking
Identity
(-infinity - +infinity)

4. f(x) = x^2+3x+5 - what type of formula is this?
(f+g) - (f-g) - (fg) - (f/g) all of x
Function notation
Undefined
Absolute Value - Constant and Standard Quadratic

5. What type of slope do you have when m=? and the line is vertical?
Undefined slope
X2-x1 because the demonaitor of a quotient can never equal zero
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% = $6000
Negative slope

6. y=f(cx) What does this formula represent?
F(x+c) and f(x-c)
0<c<1 - horizontal stretching
As equations
(-infinity - 0]you[0 - +infinity)

7. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Inconsistant
Parabola - up one and right three
Math 4 x - graph

8. Two vertical lines side by side are a symbol for what
Odd
Identity
Parraelle line
Function notation

9. Of the seven of algebra's common graph's how many are neither?
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative inverse
Odd

10. What type of line is a constant function?
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.
Horizontal
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range

11. x=no real numbers is what type of an equation?
Equation of a line
Inconsistant
(-infinity - 0]you[0 - +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

12. How are functions normally written?
Equation of a line
Neither
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
As equations

13. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

14. What are the calculator instructions for the standard cubic function?
Undefined
2nd catalog (zero key -) abs(x) - graph
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. What is the range of a square root function?
[0 -+infinity)
M
X math 3 graph
X2-x1 because the demonaitor of a quotient can never equal zero

16. How do you calculate a constant function in your calculator?
A line passing through two distinct points
Y= then enter the number then press graph
Even
Undefined slope

17. What is an identity function?
Same
45 degree angle
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

18. What points do you use to plot the inverse on a graph?
F(x) = x
The opposite coordinates
X math 3 graph
(-infinity - +infinity)

19. x= a real number is what type of equation?
F of g and g of f
Down
Conditional
Y

20. Which direction does f(x+c) move
In a quotient
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal left

21. Draw or discuss a decreasing function
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.
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
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.

22. What type of slope do you have when a line falls left to right and m<0?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined slope
Negative slope
Approach neg toward x through zero and above positive close to x

23. What is the formula for the standard cubic function?
Even
The slope of a line containing two points
F(x)=x^3
(-infinity - +infinity)

24. What shape is the standard quadratic function?
Set the x and y to zero and get the intercepts and then plot the points
Parabola
4 -6 -9
F(x)=+c and f(x)-c

25. 4(x-7)=4x+28 is what type of an equation?
A line passing through two distinct points
Inconsitent
Odd
Perpendicular line

26. What is an identity function?
45 degree angle
(-infinity - +infinity)
The first set of components of an ordered pair
F of g and g of f

27. Is an absolute value function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Math 4 x - graph
Piecewise

28. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Negative inverse
Yes - all the domains points to one range
The single number y=
(-infinity - +infinity)

29. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
0<c<1 - horizontal stretching
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
Identity
Y=x^2 - graph

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Conditional
Y
2nd key - x^2 - graph
4 -6 -9

31. What is the domain of an identity function?
Parabola - up one and right three
0<c<1 - horizontal stretching
(-infinity - +infinity)
Horizontal right

32. What is the slope of a perpendicular line?
Any set of ordered pairs
Parraelle line
Negative inverse
No because you cannot have one domain pointing at two y's or ranges

33. What is a range?
Only one
(-infinity - 0]you[0 - +infinity)
The second set of components of an ordered pair
F(x)=suare root of x

34. x=all real numbers is what type of an equation?
[0 -+infinity)
Y=x^2 - graph
F(x)=IxI
Identity

35. What is the slope of a perpendicular line?
Negative inverse
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
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% = $6000
Y=IxI

36. What is a domain?
The first set of components of an ordered pair
[0 -+infinity)
Yes - all the domains points to one range
(-infinity - +infinity)

37. What type of line is a constant function?
In a quotient
X=a
(-infinity - +infinity)
Horizontal

38. What type of line is a constant function?
Horizontal
Cannot be drawn in quizlet
As many as you like
(-infinity - 0]you[0 - +infinity)

39. What are the calculator instructions for the cube root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X math 3 graph
The secant line
Math 4 x - graph

40. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points
Y=10
(f+g) - (f-g) - (fg) - (f/g) all of x

41. How would this formula move f(x)=(x+1)^2-3
Cannot be drawn in quizlet
Parabola - up one and right three
0<c<1 - horizontal stretching
The secant line

42. Is the square root function odd - even or neither?
Negative slope
Perpendicular line
(-infinity - +infinity)
Neither

43. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Math 4 x - graph
Neither
Even

44. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)
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
The second set of components of an ordered pair

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

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46. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
F(x)=+c and f(x)-c
X=a
As many as you like

47. What is the domain for the standard cubic function?
Down
(-infinity - +infinity)
Negative slope
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

48. x= a real number is what type of equation?
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
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Conditional

49. What equation does every line have? Discuss the variables.
Even
Up
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.
M

50. What type of slope do horizontal lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x^1)=f(x^2)
Same
As equations