College Algebra Test

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 a standard quadratic function?
Negative slope
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)


2. What are the calculator instructions for a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x) = x
2nd key - x^2 - graph
Even


3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
Y= then enter the number then press graph
Y
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


4. Draw or discuss a constant function
45 degree angle
Piecewise
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic


5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
Yes - all the domains points to one range


6. What is the slope of a perpendicular line?
X^2
Negative inverse
In a quotient
Approach neg toward x through zero and above positive close to x


7. How many ranges can you have for each domain?
Conditional
F(x2)-f(x1) / x2-x1
Only one
Set the x and y to zero and get the intercepts and then plot the points


8. f(x) = x^2+3x+5 - what type of formula is this?
Undefined
No because you cannot have one domain pointing at two y's or ranges
Function notation
Mirror image neg quadrant to that of the positive quandrant


9. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
4 -6 -9
The single number y=
Y=10


10. What points do you use to plot the inverse on a graph?
Parabola
Square Root
Odd
The opposite coordinates


11. What are the calculator instructions for the cube root function?
Zero slope
Math 4 x - graph
Y=b
45 degree angle


12. What is the domain of an identity function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes


13. What does the absolute value function look like?
The opposite coordinates
F(x^1)=f(x^2)
A V
Odd


14. 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.
Because the demintor of a quotient can never equal zero
45 degree angle
Horizontal right


15. Is the square root function odd - even or neither?
Parabola
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
Neither


16. What does the square root function look like on a graph?
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
When does a graph not define y as a function of x?
Y=x - identity function


17. 4(x-7)=4x-28 is what type of an equation?
Identity
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.
[0 -+infinity)
C>1 - horizontal shrinking


18. What is the line called that illustrates the straight line between the two points when showing average rate of change?
When does a graph not define y as a function of x?
The secant line
Cannot be drawn in quizlet
Even


19. y=f(cx) - What does this formula represent?
Negative slope
Only one
The first set of components of an ordered pair
C>1 - horizontal shrinking


20. What is the range of a square root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Function notation
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)


21. What is the formula for an identity function?
A V
Any set of ordered pairs
F(x) = x
F(x)=x^3


22. Is a constant function even - odd or neither?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
The single number y=
Even


23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y=IxI
(-infinity - 0]you[0 - +infinity)
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.


24. What are the calculator instructions for absolute value?
Y= then enter the number then press graph
Down
Horizontal left
2nd catalog (zero key -) abs(x) - graph


25. What type of line is a constant function?
Horizontal
Horizontal left
F(x)=+c and f(x)-c
Odd


26. Is a standard quadratic function even - odd or neither?
Negative inverse
Cannot be drawn in quizlet
1 -2 -3
Even


27. What is another way to write f(x)=x - what type of function is this?
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
Y=x - identity function
F(x)=+c and f(x)-c


28. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=suare root of x


29. What are the steps for solving a word problem?
Up
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
Yes - all the domains points to one range
4 -6 -9


30. What is a relation?
Any set of ordered pairs
F(x+h)-f(x)/h h cannot equal zero
M
The first set of components of an ordered pair


31. What is the range of the cube root function?
The opposite coordinates
Parraelle line
Horizontal
(-infinity - +infinity)


32. What is the average rate of change formula?
The second set of components of an ordered pair
F(x)=+c and f(x)-c
Inconsistant
F(x2)-f(x1) / x2-x1


33. What is the domain of the cube root function?
(-infinity - +infinity)
As many as you like
Y=b
(-infinity - 0]you[0 - +infinity)


34. In an identity function if f(10)=x than What is y?
Because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
Y=10
2nd catalog (zero key -) abs(x) - graph


35. What type of function would you use to calculate the most advantageous cell phone plan?
Function notation
(-infinity - +infinity)
Piecewise
Same


36. 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
The secant line
F(x)=3 square root x
(-infinity - +infinity)


37. What type of function would you use to calculate the most advantageous cell phone plan?
Parabola - up one and right three
Piecewise
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)


38. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
Identity


39. What is the domain for a standard quadratic function?
(-infinity - +infinity)
4 -6 -9
C>1 - horizontal shrinking
Odd


40. What does linear equation mean?
Inconsistant
Only one
Undefined
Equation of a line


41. What does linear equation mean?
Horizontal
Equation of a line
As many as you like
Y=10


42. What are the steps for solving a word problem?
(-infinity - +infinity)
Even
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


43. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
As many as you like
X math 3 graph
(-infinity - +infinity)


44. How many domains can you have pointing to one range?
X=a
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
(-infinity - 0]you[0 - +infinity)


45. What is a function?
(-infinity - 0]you[0 - +infinity)
Equation of a line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=IxI


46. What is slope?
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
M
Undefined slope


47. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola - up one and right three
(-infinity - +infinity)
Line ascending to the right gradually


48. When is the only time (-infinity - +infinity) is not the domain?
X=a
In a quotient
Three odd - cube root - identity - standard cubic
Parabola


49. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsitent
Because the demintor of a quotient can never equal zero


50. A flat line underlining one vertical line is a symbol for...
Y=IxI
Perpendicular line
F(x^1)=f(x^2)
Set the x and y to zero and get the intercepts and then plot the points