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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. What is the domain of a square root function?
Y=b
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
Line ascending to the right gradually

2. standard absolute value - vertical shift formulas for positve and negative
The minimum or maximum points
F(x)=+c and f(x)-c
Odd
Negative slope

3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
A line passing through two distinct points
Zero slope
45 degree angle
Yes - all the domains points to one range

4. In an identity function if f(10)=x than What is y?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Horizontal right
Even

5. How many domains can you have pointing to one range?
As many as you like
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal right

6. What type of slope do horizontal lines have?
Line ascending to the right gradually
Same
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd

7. 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
Up
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Same

8. Is a constant function even - odd or neither?
Y
(-infinity - 0]you[0 - +infinity)
45 degree angle
Even

9. Is the square root function odd - even or neither?
(-infinity - +infinity)
Neither
Cannot be drawn in quizlet
(-infinity - +infinity)

10. What is the horizontal line formula?
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
Y=b

11. How do you calculate a constant function in your calculator?
X^2
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph

12. How many domains can you have pointing to one range?
Equation of a line
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
Y=IxI

13. What type of slope do you have when a line falls left to right and m<0?
Negative slope
F(x) = x
45 degree angle
Cannot be drawn in quizlet

14. What is the range for an absolute value function?
The secant line
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
Conditional

15. How do you graph Ax+By+C=0?
F(x)=x^3
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
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points

16. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
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
(-infinity - 0]you[0 - +infinity)

17. What is the vertical line test?
Parabola - up one and right three
When does a graph not define y as a function of x?
45 degree angle
In a quotient

18. What is the formula for to calculate the difference of a quotient function?
Equation of a line
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
F(x+h)-f(x)/h h cannot equal zero
Even

19. What are the four steps for solving a linear equation?
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.
Identity
F(x)=x^3
F(x)=IxI

20. What is the range of a square root function?
(-infinity - 0]you[0 - +infinity)
M
The second set of components of an ordered pair
[0 -+infinity)

21. What is a relation?
X = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
F of g and g of f
Any set of ordered pairs

22. How would this formula move f(x)=(x+1)^2-3
Same
Parabola - up one and right three
Any set of ordered pairs
F(x)=+c and f(x)-c

23. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Conditional
Because the demintor of a quotient can never equal zero
Zero slope

24. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Math 4 x - graph
Undefined slope
2nd catalog (zero key -) abs(x) - graph

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

26. 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
Y= then enter the number then press graph
Identity
The secant line

27. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Zero slope
1 -2 -3
(-infinity - +infinity)
Up

28. What is the domain of a square root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)

29. What is the formula for the square root function?
Equation of a line
Y
4 -6 -9
F(x)=suare root of x

30. How many ranges can you have for each domain?
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x
Only one
Square Root

31. 4(x-7)=4x-28 is what type of an equation?
Identity
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
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1

32. What is the range of a square root function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
F(x2)-f(x1) / x2-x1

33. What are the calculator instructions for the standard cubic function?
F(x) = x
Inconsistant
(-infinity - +infinity)
X math 3 graph

34. What can never equal zero in the slope formula and why?
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero

35. What points do you use to plot the inverse on a graph?
Down
The opposite coordinates
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
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

36. Of the seven of algebra's common graph's how many are even?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
Same

37. What does the average rate of change formula solve?
Because the demintor of a quotient can never equal zero
C>1 - horizontal shrinking
The slope of a line containing two points
(-infinity - 0]you[0 - +infinity)

38. What is a range?
Horizontal right
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair
4 -6 -9

39. What is the letter used to represent slope?
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
M
F(x)=IxI

40. What are the algebra of functions?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=10
Same

41. What type of function would you use to calculate the most advantageous cell phone plan?
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
Piecewise
F(x)=3 square root x
Parraelle line

42. What direction does f(x)-c move in standard absolute value formula?
Only one
Down
(-infinity - 0]you[0 - +infinity)
1 -2 -3

43. What does the standard cubic function look like on a graph?
Function notation
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

44. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
The slope of a line containing two points
Identity
X=a

45. x= a real number is what type of equation?
A V
[0 -+infinity)
Conditional
Zero slope

46. Is the standard cubic function odd - even or neither?
Odd
F(x)=suare root of x
(-infinity - +infinity)
Postiive slope

47. What does the average rate of change formula solve?
1 -2 -3
Undefined slope
The slope of a line containing two points
F(x)=suare root of x

48. What does linear equation mean?
Y=10
Inconsitent
Equation of a line
(-infinity - +infinity)

49. What is the horizontal line formula?
Y=x - identity function
Y=b
F of g and g of f
Because the demintor of a quotient can never equal zero

50. What are two examples of composit functions?
In a quotient
F of g and g of f
(-infinity - +infinity)
Any set of ordered pairs