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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 range for the standard cubic function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Conditional
Horizontal

2. What is the standard quadratic function?
Piecewise
Identity
Y=10
X^2

3. What type of slope do vertical lines have?
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined
F(x)=suare root of x

4. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching
X=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

5. What does the absolute value function look like?
Y=x - identity function
[0 -+infinity)
A V
Odd

6. What is the domain for the standard cubic function?
(-infinity - +infinity)
Yes - all the domains points to one range
Undefined slope
Any set of ordered pairs

7. Is an identity function even - odd or neither?
Horizontal right
X is the hours to repair the boat. $1603-532=anwser/63 = x
4 -6 -9
Odd

8. What is the standard quadratic function?
Same
X^2
Cannot be drawn in quizlet
Horizontal

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

10. Of the seven of algebra's common graph's how many are neither?
F(x) = x
Absolute Value - Constant and Standard Quadratic
Square Root
(-infinity - +infinity)

11. What is a function?
F(x)=3 square root x
A V
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

12. Of the seven of algebra's common graph's how many are odd?
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.
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
Three odd - cube root - identity - standard cubic
X math 3 graph

13. What is a constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x^1)=f(x^2)
Y
Horizontal

14. How many ranges can you have for each domain?
Only one
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
45 degree angle
The opposite coordinates

15. What is the slope of a perpendicular line?
In a quotient
Piecewise
[0 -+infinity)
Negative inverse

16. What are the calculator instructions for the standard cubic function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
X math 3 graph
2nd catalog (zero key -) abs(x) - graph

17. Why can h not equal zero in the difference of a quotient function formula?
F(x2)-f(x1) / x2-x1
Horizontal left
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

18. What is a range?
In a quotient
The second set of components of an ordered pair
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.
Negative inverse

19. What is the range of the constant function?
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
The single number y=

20. What is an identity function?
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges

21. What does the square root function look like on a graph?
Identity
C>1 - horizontal shrinking
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic

22. y=f(cx) What does this formula represent?
Inconsitent
X=a
The slope of a line containing two points
0<c<1 - horizontal stretching

23. What is the vertex?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
The minimum or maximum points
Math 4 x - graph

24. Is an identity function even - odd or neither?
F(x) = x
Odd
Zero slope
Up

25. Is the standard cubic function odd - even or neither?
F(x)=+c and f(x)-c
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=x^2 - graph
Y
Any set of ordered pairs
1 -2 -3

27. What are the four steps for finding the inverse of a function?
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x^2 - graph
F(x) = x

28. What is a constant function?
Identity
F(x^1)=f(x^2)
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero

29. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola
Neither
Negative inverse

30. What is the vertical line test?
F(x)=x^3
Math 4 x - graph
Even
When does a graph not define y as a function of x?

31. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Line ascending to the right gradually
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.
X=a

32. What is the formula for slope?
F(x)=suare root of x
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined slope

33. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
As equations
4 -6 -9
(-infinity - +infinity)
F(x^1)=f(x^2)

34. What is the formula for an absolute value function?
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
F(x)=IxI
45 degree angle

35. What type of slope do you have when m=? and the line is vertical?
Set the x and y to zero and get the intercepts and then plot the points
Function notation
X^2
Undefined slope

36. What is the domain for the standard cubic function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Parabola - up one and right three

37. What is the formula for the cube root function?
The single number y=
Undefined
X math 3 graph
F(x)=3 square root x

38. Which direction does f(x+c) move
Horizontal left
Negative slope
In a quotient
Because the demintor of a quotient can never equal zero

39. What type of slope do you have when the line is horizontal and m=0?
Only one
Zero slope
Y
(-infinity - +infinity)

40. What is the point slope formula and when do you use it?
F(x)=+c and f(x)-c
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

41. What is the vertical line formula?
X=a
Y=x - identity function
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(x2)-f(x1) / x2-x1

42. What can we substitute for f(x)?
In a quotient
Square Root
Y
Only one

43. What direction does f(x)-c move in standard absolute value formula?
Square Root
(-infinity - +infinity)
Undefined slope
Down

44. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=IxI
The slope of a line containing two points
0<c<1 - horizontal stretching
Up

45. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Down
F(x)=+c and f(x)-c

46. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Equation of a line
Y=b
1 -2 -3
The single number y=

47. What are the calculator instructions for the cube root function?
Math 4 x - graph
F(x)=suare root of x
X = the original sale price and the formula is x - .40x =$276
2nd key - x^2 - graph

48. What is the formula for an identity function?
F(x) = x
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
Set the x and y to zero and get the intercepts and then plot the points

49. What are the four steps for finding the inverse of a function?
Inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x

50. What is the formula in both horizontal stretching and horizontal shrinking?
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
F(x)=+c and f(x)-c