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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 formula for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
A V
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=x^3

2. What does the absolute value function look like?
A V
(-infinity - +infinity)
Up
Neither

3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
Y= then enter the number then press graph
M

4. Draw or discuss an increasing function
Undefined slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd
Cannot be drawn in quizlet

5. What is the range of a square root function?
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
(-infinity - +infinity)
[0 -+infinity)
Y=IxI

6. What is the domain and range of a constant function?
(-infinity - +infinity)
Parabola
Set the x and y to zero and get the intercepts and then plot the points
Parabola

7. What is the domain of an identity function?
As equations
Piecewise
F(x)=suare root of x
(-infinity - +infinity)

8. What can we substitute for f(x)?
A line passing through two distinct points
A V
Y
Undefined

9. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x+c) and f(x-c)
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. What is the range for a standard quadratic function?
Y=10
(-infinity - 0]you[0 - +infinity)
Horizontal left
4 -6 -9

11. What are the four steps for solving a linear equation?
Yes because two x's or domains can point to one y
Only one
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.
Neither

12. What type of line is a constant function?
Inconsistant
Zero slope
Horizontal
X=a

13. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
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
Conditional
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

14. What is the range of an identity function?
Down
Perpendicular line
(-infinity - +infinity)
F(x)=suare root of x

15. What are the calculator instructions for a square root function?
No because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair
2nd key - x^2 - graph
Horizontal right

16. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Horizontal
F of g and g of f
Absolute Value - Constant and Standard Quadratic

17. What are the four steps for finding the inverse of a function?
Neither
(-infinity - +infinity)
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

18. What are two examples of composit functions?
F of g and g of f
Cannot be drawn in quizlet
The minimum or maximum points
Parabola - up one and right three

19. Is an absolute value function even - odd or neither?
Even
Same
Inconsistant
Undefined

20. What is another way of writing the absolute value function?
The opposite coordinates
Y=10
Undefined
Y=IxI

21. What shape is the standard quadratic function?
F(x^1)=f(x^2)
The first set of components of an ordered pair
Parabola
Approach neg toward x through zero and above positive close to x

22. What are the calculator instructions for the cube root function?
Math 4 x - graph
Same
20+.05x=5+.10x x=minutes
X math 3 graph

23. What is the formula for the cube root function?
Zero slope
Mirror image neg quadrant to that of the positive quandrant
Because the demintor of a quotient can never equal zero
F(x)=3 square root x

24. Of the seven of algebra's common graph's how many are even?
X^2
Absolute Value - Constant and Standard Quadratic
45 degree angle
(-infinity - 0]you[0 - +infinity)

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

26. What is a function?
A line passing through two distinct points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent
F(x)=+c and f(x)-c

27. Of the seven of algebra's common graph's how many are even?
Undefined
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Yes - all the domains points to one range

28. What is the range of the 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)
[0 -+infinity)
The single number y=

29. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
Math 4 x - graph
Undefined
Parabola - up one and right three

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

31. A flat line underlining one vertical line is a symbol for...
Same
45 degree angle
(-infinity - 0]you[0 - +infinity)
Perpendicular line

32. Which direction does f(x+c) move
Horizontal left
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
Because the demintor of a quotient can never equal zero

33. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Negative slope
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Three odd - cube root - identity - standard cubic
1 -2 -3
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Zero 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.
1 -2 -3
The secant line

36. What is the formula for to calculate the difference of a quotient function?
F(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero

37. What are the calculator instructions for absolute value?
As equations
F(x)=+c and f(x)-c
F(x)=IxI
2nd catalog (zero key -) abs(x) - graph

38. How many domains can you have pointing to one range?
As many as you like
Line ascending to the right gradually
Postiive slope
Undefined slope

39. What are two examples of composit functions?
F of g and g of f
Math 4 x - graph
Mirror image neg quadrant to that of the positive quandrant
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

40. What is the point slope formula and when do you use it?
Y= then enter the number then press graph
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points

41. What is another way of writing the absolute value function?
Y=IxI
Cannot be drawn in quizlet
Any set of ordered pairs
X math 3 graph

42. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
A line passing through two distinct points
Equation of a line
F(x) = x

43. What is a domain?
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The first set of components of an ordered pair
C>1 - horizontal shrinking

44. What shape is the standard quadratic function?
Odd
Parabola
(-infinity - +infinity)
F(x)=+c and f(x)-c

45. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Parraelle line
Conditional
X = the original sale price and the formula is x - .40x =$276
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - +infinity)
Piecewise
F(x+h)-f(x)/h h cannot equal zero

47. What is the range for a standard quadratic function?
Same
(-infinity - 0]you[0 - +infinity)
Conditional
[0 -+infinity)

48. Is an identity function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
Odd
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 single number y=

49. What does linear equation mean?
F(x^1)=f(x^2)
Equation of a line
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.
Yes because two x's or domains can point to one y

50. How would this formula move f(x)=(x+1)^2-3
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.
Horizontal left
The slope of a line containing two points
Parabola - up one and right three