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 domain for a standard quadratic function?
Down
45 degree angle
(-infinity - +infinity)
Horizontal


2. Draw or discuss an increasing function
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs
Cannot be drawn in quizlet


3. 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?
M
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse
F(x+c) and f(x-c)


4. What is another way of writing the absolute value function?
Y=IxI
Parraelle line
[0 -+infinity)
Down


5. 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
Parraelle line
Conditional
C>1 - horizontal shrinking


6. What is the range for an absolute value function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)
2nd key - x^2 - graph
Because the demintor of a quotient can never equal zero


7. Two vertical lines side by side are a symbol for what
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parraelle line


8. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The secant line
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
F(x) = x
F(x)=+c and f(x)-c


9. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=IxI
F(x)=IxI


10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=IxI
The secant line


11. What is the vertex?
The minimum or maximum points
Line ascending to the right gradually
45 degree angle
Yes because two x's or domains can point to one y


12. What is the range of the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
4 -6 -9
F(x)=suare root of x


13. f(x) = x^2+3x+5 - what type of formula is this?
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left
F(x)=+c and f(x)-c
Function notation


14. What is a function?
In a quotient
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


15. standard absolute value - horizontal shift formulas for left and right
Cannot be drawn in quizlet
F(x+c) and f(x-c)
(-infinity - +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.


16. 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
(-infinity - +infinity)
The opposite coordinates
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


17. What shape is the standard quadratic function?
Parabola
45 degree angle
F(x)=IxI
Horizontal right


18. What is the point slope formula and when do you use it?
Horizontal
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


19. What is the domain of an identity function?
X math 3 graph
(-infinity - +infinity)
Perpendicular line
Y=IxI


20. What type of function would you use to calculate the most advantageous cell phone plan?
Cannot be drawn in quizlet
Horizontal right
F(x+c) and f(x-c)
Piecewise


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 slope
1 -2 -3
X^2
X is the hours to repair the boat. $1603-532=anwser/63 = x


22. What is the domain for the standard cubic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-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
Horizontal left


23. Is an identity function even - odd or neither?
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
Odd
Equation of a line
(-infinity - +infinity)


24. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Piecewise
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Odd


25. What is the domain and range of a constant function?
Odd
Parabola
Up
(-infinity - +infinity)


26. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Parraelle line
Y=10
1 -2 -3


27. What type of line is a constant function?
Horizontal
Any set of ordered pairs
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 is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


28. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Perpendicular line
Square Root
As equations


29. What does the graph of the cube root function look like on the graph?
Y
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
(-infinity - +infinity)


30. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=IxI
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points


31. How would this formula move f(x)=(x+1)^2-3
2nd catalog (zero key -) abs(x) - graph
Y=IxI
Parabola - up one and right three
20+.05x=5+.10x x=minutes


32. What is the formula for the square root function?
Set the x and y to zero and get the intercepts and then plot the points
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=suare root of x


33. Which direction does f(x)=+c move in standard absolute value formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
Up
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


34. What are the algebra of functions?
C>1 - horizontal shrinking
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=suare root of x
Horizontal left


35. What is the domain for a standard quadratic function?
Horizontal
Horizontal left
Square Root
(-infinity - +infinity)


36. Is the standard cubic function odd - even or neither?
(-infinity - 0]you[0 - +infinity)
Horizontal
F(x+c) and f(x-c)
Odd


37. What is the domain of the cube root function?
(-infinity - +infinity)
Y= then enter the number then press graph
Even
Y=10


38. What type of slope do you have when m=? and the line is vertical?
Undefined slope
45 degree angle
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


39. What points do you use to plot the inverse on a graph?
X = the original sale price and the formula is x - .40x =$276
F(x)=3 square root x
(-infinity - +infinity)
The opposite coordinates


40. 4x+5x=8x is what type of an equation?
Negative inverse
Cannot be drawn in quizlet
Conditional
X = the original sale price and the formula is x - .40x =$276


41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
A line passing through two distinct points
Even
1 -2 -3
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 range of the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
F(x)=IxI


43. What type of line is a constant function?
Horizontal
1 -2 -3
F(x)=x^3
Cannot be drawn in quizlet


44. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
[0 -+infinity)
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)=+c and f(x)-c
Even


45. What are the calculator instructions for a square root function?
(-infinity - +infinity)
Function notation
Set the x and y to zero and get the intercepts and then plot the points
2nd key - x^2 - graph


46. Is the square root function odd - even or neither?
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y
Y=x - identity function
Neither


47. Which direction does f(x+c) move
Horizontal left
Identity
The minimum or maximum points
The single number y=


48. How would this formula move f(x)=(x+1)^2-3
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
Cannot be drawn in quizlet
0<c<1 - horizontal stretching


49. What does the absolute value function look like?
A V
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes
X=a


50. Is the square root function odd - even or neither?
Neither
The secant line
45 degree angle
Parabola