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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. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
No because you cannot have one domain pointing at two y's or ranges
X^2
F(x) = x

2. What are the calculator instructions for the standard cubic function?
[0 -+infinity)
F(x)=suare root of x
X math 3 graph
Horizontal left

3. Draw or discuss a decreasing function
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Negative slope
Cannot be drawn in quizlet

4. What shape is the standard quadratic function?
[0 -+infinity)
F(x)=3 square root x
Parabola
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

5. What is the domain of the cube root function?
(-infinity - +infinity)
The single number y=
2nd key - x^2 - graph
[0 -+infinity)

6. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
X math 3 graph
Undefined slope
Equation of a line

7. 4(x-7)=4x-28 is what type of an equation?
X math 3 graph
Identity
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

8. x=no real numbers is what type of an equation?
Y=10
Y
(-infinity - 0]you[0 - +infinity)
Inconsistant

9. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
Inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Postiive slope

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

11. 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
(-infinity - +infinity)
Y=10
0<c<1 - horizontal stretching

12. Of the seven of algebra's common graph's how many are neither?
Even
0<c<1 - horizontal stretching
(-infinity - +infinity)
Square Root

13. What is the range for the standard cubic function?
(-infinity - +infinity)
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
X=a

14. What is the range of the cube root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X is the hours to repair the boat. $1603-532=anwser/63 = x
The opposite coordinates
(-infinity - +infinity)

15. What does the graph of the cube root function look like on the graph?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x

16. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
A line passing through two distinct points
No because you cannot have one domain pointing at two y's or ranges
Parraelle line

17. Is the square root function odd - even or neither?
Line ascending to the right gradually
Neither
(-infinity - +infinity)
Y=x - identity function

18. What is the formula for an absolute value function?
F(x)=IxI
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

19. Draw or discuss a constant function
1 -2 -3
F(x) = x
Cannot be drawn in quizlet
As equations

20. What type of slope do you have when m=? and the line is vertical?
Y= then enter the number then press graph
Any set of ordered pairs
Undefined slope
Yes because two x's or domains can point to one y

21. What is the range for the standard cubic function?
(-infinity - +infinity)
M
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F of g and g of f

22. What is an identity function?
X=a
45 degree angle
When does a graph not define y as a function of x?
Y=IxI

23. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - +infinity)
Negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

24. Draw or discuss a decreasing function
F(x^1)=f(x^2)
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs

25. When is the only time (-infinity - +infinity) is not the domain?
Because the demintor of a quotient can never equal zero
Square Root
In a quotient
Piecewise

26. 4x+5x=8x is what type of an equation?
F(x)=3 square root x
No because you cannot have one domain pointing at two y's or ranges
Parabola
Conditional

27. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Even
X = the original sale price and the formula is x - .40x =$276
Y=IxI

28. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
Odd
1 -2 -3
(-infinity - +infinity)

29. Draw or discuss a constant function
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
F(x2)-f(x1) / x2-x1
Parabola - up one and right three

30. What is the range of a square root function?
F(x)=IxI
Yes because two x's or domains can point to one y
Y=x^2 - graph
[0 -+infinity)

31. What is the formula for the square root function?
Even
F(x)=suare root of x
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=+c and f(x)-c

32. What is an identity function?
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle

33. standard absolute value - horizontal shift formulas for left and right
In a quotient
A line passing through two distinct points
F(x+c) and f(x-c)
A line passing through two distinct points

34. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. Of the seven of algebra's common graph's how many are neither?
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Square Root
Only one

36. What type of line is a constant function?
Horizontal
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
F(x)=IxI

37. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Horizontal right
Math 4 x - graph
Parabola

38. What is the range of a square root function?
Any set of ordered pairs
Y=x^2 - graph
Y=IxI
[0 -+infinity)

39. What are the calculator instructions for the standard cubic function?
F(x+h)-f(x)/h h cannot equal zero
X math 3 graph
45 degree angle
Any set of ordered pairs

40. What is a constant function?
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.
F(x^1)=f(x^2)
Undefined

41. What is the domain of a square root function?
[0 -+infinity)
Piecewise
(-infinity - +infinity)
45 degree angle

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X=a
F(x)=suare root of x
A line passing through two distinct points
The secant line

43. What are the algebra of functions?
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 - 0]you[0 - +infinity)
Postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x

44. Which direction does f(x-c) move
Horizontal right
F(x+c) and f(x-c)
F(x^1)=f(x^2)
Math 4 x - graph

45. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X math 3 graph
Zero slope
[0 -+infinity)
X = the original sale price and the formula is x - .40x =$276

46. Is a constant function even - odd or neither?
Undefined
Even
2nd key - x^2 - graph
Postiive slope

47. What type of slope do you have when the line is horizontal and m=0?
Down
[0 -+infinity)
The secant line
Zero slope

48. How do you calculate a constant function in your calculator?
F of g and g of f
Down
Function notation
Y= then enter the number then press graph

49. What is the range of an identity function?
As many as you like
(-infinity - +infinity)
2nd key - x^2 - graph
Y=x - identity function

50. y=f(cx) What does this formula represent?
Y=IxI
Because the demintor of a quotient can never equal zero
Y= then enter the number then press graph
0<c<1 - horizontal stretching