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. Which direction does f(x-c) move
Only one
F(x+h)-f(x)/h h cannot equal zero
Horizontal right
X math 3 graph


2. 4x+5x=8x is what type of an equation?
Cannot be drawn in quizlet
Odd
The single number y=
Conditional


3. What is the domain for the standard cubic function?
Only one
Same
(-infinity - +infinity)
Parabola - up one and right three


4. What are the calculator instructions for a standard quadratic equation?
Math 4 x - graph
Y=x^2 - graph
F(x) = x
Identity


5. What is a range?
F of g and g of f
The single number y=
The second set of components of an ordered pair
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


6. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
F(x)=3 square root x
2nd catalog (zero key -) abs(x) - graph


7. What is the domain for the standard cubic function?
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.
(-infinity - +infinity)
When does a graph not define y as a function of x?
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.


8. What is the domain for an absolute value function?
(-infinity - +infinity)
Down
Y=10
Yes because two x's or domains can point to one y


9. Is an identity function even - odd or neither?
Even
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The first set of components of an ordered pair


10. What are the calculator instructions for the standard cubic function?
X math 3 graph
F(x+c) and f(x-c)
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


11. What type of line is a constant function?
45 degree angle
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
The slope of a line containing two points


12. standard absolute value - vertical shift formulas for positve and negative
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)=+c and f(x)-c
(-infinity - +infinity)
When does a graph not define y as a function of x?


13. What is the domain of a square root function?
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
Conditional


14. What is the formula for an identity function?
F(x) = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
Line ascending to the right gradually


15. What type of slope do you have when a line rises from left to right and m>0?
45 degree angle
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually


16. Of the seven of algebra's common graph's how many are neither?
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.
(-infinity - +infinity)
Square Root
(-infinity - +infinity)


17. How many ranges can you have for each domain?
Undefined slope
Only one
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity


18. What is slope?
F(x)=x^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
Any set of ordered pairs
A line passing through two distinct points


19. What is the range of the constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=
(-infinity - +infinity)
Cannot be drawn in quizlet


20. 4(x-7)=4x+28 is what type of an equation?
Identity
Yes because two x's or domains can point to one y
Mirror image neg quadrant to that of the positive quandrant
Inconsitent


21. What is the formula in both horizontal stretching and horizontal shrinking?
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
X math 3 graph


22. Draw or discuss an increasing function
(-infinity - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


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


24. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
(-infinity - +infinity)
The opposite coordinates
2nd key - x^2 - graph


25. In an identity function if f(10)=x than What is y?
Same
Horizontal left
Y=10
F(x+c) and f(x-c)


26. What does the standard cubic function look like on a graph?
F(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes
F(x)=3 square root x


27. What is the range of the cube root function?
Undefined
F(x^1)=f(x^2)
(-infinity - +infinity)
C>1 - horizontal shrinking


28. Of the seven of algebra's common graph's how many are odd?
Because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
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)


29. Is an identity function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd
2nd catalog (zero key -) abs(x) - graph
Y=b


30. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet


31. Is a standard quadratic function even - odd or neither?
2nd key - x^2 - graph
Y=x - identity function
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1


32. What are the calculator instructions for the cube root function?
F(x)=suare root of x
Even
Math 4 x - graph
The secant line


33. Two vertical lines side by side are a symbol for what
Parraelle line
C>1 - horizontal shrinking
Down
(-infinity - +infinity)


34. What shape is the standard quadratic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Inconsistant
Parabola
Undefined slope


35. What equation does every line have? Discuss the variables.
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.
Conditional
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)


36. Is the square root function odd - even or neither?
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)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Neither


37. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Cannot be drawn in quizlet
Parraelle line
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276


38. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
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
Conditional


39. Draw or discuss a decreasing function
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero


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


41. What does the absolute value function look like?
The slope of a line containing two points
(-infinity - +infinity)
A V
X2-x1 because the demonaitor of a quotient can never equal zero


42. What does linear equation mean?
Odd
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
Cannot be drawn in quizlet


43. What type of slope do vertical lines have?
Odd
2nd key - x^2 - graph
Undefined
Zero slope


44. How many ranges can you have for each domain?
(-infinity - +infinity)
X=a
Only one
(-infinity - +infinity)


45. What type of slope do vertical lines have?
Undefined
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
Y=IxI
(-infinity - +infinity)


46. What is the domain of an identity function?
X = the original sale price and the formula is x - .40x =$276
F(x^1)=f(x^2)
(-infinity - +infinity)
1 -2 -3


47. What does the graph of the cube root function look like on the graph?
Y=x^2 - graph
The single number y=
Identity
Approach neg toward x through zero and above positive close to x


48. What equation does every line have? Discuss the variables.
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)
X=a


49. Draw or discuss a decreasing function
(-infinity - +infinity)
Cannot be drawn in quizlet
Y
X=a


50. What direction does f(x)-c move in standard absolute value formula?
Down
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Conditional