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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. How many domains can you have pointing to one range?
Identity
1 -2 -3
As many as you like
A line passing through two distinct points

2. How do you calculate a constant function in your calculator?
F(x+c) and f(x-c)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M
Y= then enter the number then press graph

3. What is the domain and range of a constant function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Undefined slope
The second set of components of an ordered pair

4. What type of slope do horizontal lines have?
(-infinity - +infinity)
Identity
Same
F(x^1)=f(x^2)

5. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Parabola
(-infinity - 0]you[0 - +infinity)
45 degree angle

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
A line passing through two distinct points
Zero slope
4 -6 -9
When does a graph not define y as a function of x?

7. standard absolute value - horizontal shift formulas for left and right
Negative inverse
F(x)=3 square root x
F(x+c) and f(x-c)
(-infinity - +infinity)

8. What is the slope of a perpendicular line?
Negative inverse
F(x) = x
(-infinity - +infinity)
Identity

9. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations
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
The opposite coordinates

10. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
M
20+.05x=5+.10x x=minutes
Y

11. What points do you use to plot the inverse on a graph?
Negative slope
Identity
X math 3 graph
The opposite coordinates

12. Why can h not equal zero in the difference of a quotient function formula?
Inconsitent
Zero slope
X math 3 graph
Because the demintor of a quotient can never equal zero

13. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates

14. Two vertical lines side by side are a symbol for what
C>1 - horizontal shrinking
Even
Parraelle line
The secant line

15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
X^2
Mirror image neg quadrant to that of the positive quandrant
X=a

16. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=x^3
0<c<1 - horizontal stretching
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.

17. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
Function notation
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph

18. What are two examples of composit functions?
Horizontal
Cannot be drawn in quizlet
F of g and g of f
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.

19. What is the vertical line test?
The secant line
Only one
When does a graph not define y as a function of x?
Y= then enter the number then press graph

20. What is the range for the standard cubic function?
Parabola - up one and right three
(-infinity - +infinity)
X math 3 graph
20+.05x=5+.10x x=minutes

21. What is the horizontal line formula?
Y=10
Odd
The secant line
Y=b

22. What is another way of writing the absolute value function?
Postiive slope
Y=IxI
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points

23. What is the vertical line test?
1 -2 -3
When does a graph not define y as a function of x?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

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

25. What does the absolute value function look like?
Horizontal
(-infinity - +infinity)
A V
Horizontal left

26. What is the range of the constant function?
The single number y=
Any set of ordered pairs
M
Yes because two x's or domains can point to one y

27. What does the average rate of change formula solve?
The slope of a line containing two points
Inconsitent
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

28. f(x) = x^2+3x+5 - what type of formula is this?
M
Yes - all the domains points to one range
0<c<1 - horizontal stretching
Function notation

29. Of the seven of algebra's common graph's how many are even?
F(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
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
Conditional

30. Which direction does f(x+c) move
Horizontal left
Conditional
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
Math 4 x - graph

31. What is the range of the constant function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
Equation of a line
The single number y=

32. What is the slope of a perpendicular line?
Negative inverse
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
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
Yes because two x's or domains can point to one y

33. 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.
(-infinity - +infinity)
Even
F(x+h)-f(x)/h h cannot equal zero

34. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Any set of ordered pairs
Three odd - cube root - identity - standard cubic
Inconsitent
X = the original sale price and the formula is x - .40x =$276

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Undefined slope
(-infinity - +infinity)
(-infinity - +infinity)
1 -2 -3

36. What type of line is a constant 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
Horizontal
M

37. What shape is the standard quadratic function?
(-infinity - +infinity)
Horizontal right
Parabola
Odd

38. y=f(cx) - What does this formula represent?
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
Identity
(-infinity - +infinity)
C>1 - horizontal shrinking

39. When is the only time (-infinity - +infinity) is not the domain?
Undefined
F(x)=suare root of x
In a quotient
Zero slope

40. Draw or discuss a constant function
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% = $6000
Cannot be drawn in quizlet
(-infinity - +infinity)

41. What shape is the standard quadratic function?
Cannot be drawn in quizlet
Parabola
Parabola - up one and right three
45 degree angle

42. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Odd
Three odd - cube root - identity - standard cubic
Horizontal right

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x^1)=f(x^2)
Yes - all the domains points to one range
(-infinity - +infinity)
(-infinity - +infinity)

44. What is a relation?
Perpendicular line
Cannot be drawn in quizlet
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1

45. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Negative inverse
Yes because two x's or domains can point to one y
Undefined slope
X = the original sale price and the formula is x - .40x =$276

46. Why can h not equal zero in the difference of a quotient function formula?
The first set of components of an ordered pair
Parabola - up one and right three
Because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points

47. What is a domain?
Equation of a line
The first set of components of an ordered pair
In a quotient
45 degree angle

48. What is the formula for the square root function?
X^2
F(x)=suare root of x
Any set of ordered pairs
Equation of a line

49. What is a domain?
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 first set of components of an ordered pair
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

50. What is the vertical line formula?
(-infinity - +infinity)
Conditional
Y= then enter the number then press graph
X=a