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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 can we substitute for f(x)?
Line ascending to the right gradually
Y
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
Same

2. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
45 degree angle
Perpendicular line
F(x)=IxI

3. What is the range of an identity function?
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
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
X math 3 graph

4. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse
Function notation
(-infinity - +infinity)

5. What does the square root function look like on a graph?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
Line ascending to the right gradually
Even

6. What are the four steps for finding the inverse of a function?
Conditional
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. What shape is the standard quadratic function?
Undefined slope
Parabola
Neither
Line ascending to the right gradually

8. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
1 -2 -3
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

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

10. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Postiive slope
Undefined
(-infinity - +infinity)

11. standard absolute value - vertical shift formulas for positve and negative
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=+c and f(x)-c
Perpendicular line

12. What type of slope do vertical lines have?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Undefined
Because the demintor of a quotient can never equal zero

13. What is another way of writing the absolute value 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.
The minimum or maximum points
Y=IxI
(-infinity - +infinity)

14. y=f(cx) - What does this formula represent?
F(x)=x^3
The secant line
Only one
C>1 - horizontal shrinking

15. Is a constant function even - odd or neither?
A line passing through two distinct points
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x
Even

16. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Even
The first set of components of an ordered pair
Cannot be drawn in quizlet

17. What is the domain for the standard cubic 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.
4 -6 -9
(-infinity - +infinity)
Same

18. What is a range?
Parabola
The second set of components of an ordered pair
Negative slope
Because the demintor of a quotient can never equal zero

19. What direction does f(x)-c move in standard absolute value formula?
A V
F(x)=3 square root x
Down
(-infinity - +infinity)

20. What is the horizontal line formula?
X=a
X math 3 graph
Y=b
Because the demintor of a quotient can never equal zero

21. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Negative inverse
(-infinity - +infinity)
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

22. 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
A V
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant

23. What is the range of the cube root function?
Neither
C>1 - horizontal shrinking
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

24. What is the range of an identity function?
A V
45 degree angle
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

25. A flat line underlining one vertical line is a symbol for...
Identity
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line
Absolute Value - Constant and Standard Quadratic

26. What can we substitute for f(x)?
Function notation
Y
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

27. What is the formula for the square root function?
Piecewise
Zero slope
Function notation
F(x)=suare root of x

28. What shape is the standard quadratic function?
Because the demintor of a quotient can never equal zero
Parabola
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Undefined slope
M
F(x)=+c and f(x)-c

30. What is the formula for the cube root function?
Yes because two x's or domains can point to one y
F(x)=3 square root x
Horizontal
F(x+h)-f(x)/h h cannot equal zero

31. f(x) = x^2+3x+5 - what type of formula is this?
F(x+h)-f(x)/h h cannot 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
Function notation
Only one

32. Of the seven of algebra's common graph's how many are neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Square Root
Three odd - cube root - identity - standard cubic
The minimum or maximum points

33. What is the domain for the standard cubic function?
(-infinity - +infinity)
Inconsistant
Parabola - up one and right three
4 -6 -9

34. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Mirror image neg quadrant to that of the positive quandrant
Parraelle line
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Three odd - cube root - identity - standard cubic
Odd
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

36. What points do you use to plot the inverse on a graph?
Parraelle line
The opposite coordinates
Odd
The second set of components of an ordered pair

37. What type of slope do you have when m=? and the line is vertical?
When does a graph not define y as a function of x?
Undefined slope
Y
X2-x1 because the demonaitor of a quotient can never equal zero

38. Two vertical lines side by side are a symbol for what
Horizontal
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parraelle line

39. What is a constant function?
Undefined slope
F(x^1)=f(x^2)
F(x)=suare root of x
Identity

40. Which direction does f(x)=+c move in standard absolute value formula?
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph
Up

41. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Odd
4 -6 -9
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
Equation of a line
Yes - all the domains points to one range

43. What type of slope do you have when a line falls left to right and m<0?
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
45 degree angle

44. What are two examples of composit functions?
F(x)=+c and f(x)-c
Y=x - identity function
F of g and g of f
[0 -+infinity)

45. 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.
45 degree angle
F(x+c) and f(x-c)
The single number y=

46. What is the vertex?
The single number y=
Neither
As equations
The minimum or maximum points

47. Is the square root function odd - even or neither?
(-infinity - +infinity)
Identity
F(x+c) and f(x-c)
Neither

48. Draw or discuss a decreasing 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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

49. What direction does f(x)-c move in standard absolute value formula?
Same
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
Down

50. What are two examples of composit functions?
(-infinity - +infinity)
F of g and g of f
X = the original sale price and the formula is x - .40x =$276
Zero slope