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Advanced Algebra Ch. 2 Name____________________
Chapter Review (
st half)
Identify the domain and range of each. State if the relation is a function.
Domain:______________
Range:________________
Function: yes or no
Domain:_________________
Range:__________________
Function: yes or no
State whether the graphs below are functions.
State whether each equation or function is a linear function. Explain why.
- (^) y = 2x + 1 6.
2 y = x โ 3
Evaluate the function at the given values.
2
f x x 2
a) Find f ( โ 4 ). b) Find f ( ) 5.
3
f x = โ 3x โ 2x + 1 a) Find f ( โ 2 ). b) Find f ( โ y).
Write each equation in standard form. Then find the x and y intercepts.
- y = 7x โ 5 10.
x y 5 4
Standard form:_______________________ Standard form:_______________________
x-int:_____________ y-int:_____________ x-int:______________ y-int:____________
- โ2y = 3x + 12 12. 9x โ 15 = โy
Standard form:_______________________ Standard form:_______________________
x-int:_____________ y-int:_____________ x-int:______________ y-int:____________
- 2y = 4x โ 8 14.
x 4 y 2 4
Standard form:_______________________ Standard form:_______________________
x-int:_____________ y-int:_____________ x-int:______________ y-int:____________
Write the equation in slope intercept form.
25. m = โ 5, through ( โ3, โ 8 ) 26. ( )
m , through 10, 3 5
27. through ( 4, 3 ) and ( 7, โ 2 ) 28. through ( โ6, โ 3 ) and ( 0, 4)
29. through^ ( 5,^3 )and
to y 2x 9
30. through^ ( 6, 0^ )and
to 3x y 4
31. through ( 4, 1 ) and
to 2y 3x 9
32. through ( 3, 2) and
to x 5y 2
Write the equation in standard form.
m , y int : 9 8
= โ โ 34.^ x โ int : โ 5, y โint : 7
- x โ int : 3, y โint : 1
- The Cody Company ran a study on its sales force and learned that the average number of years of
experience for each sales team was in direct relation to annual sales volume. Use the data below to
answer the following.
Annual Sales
(in thousands)
Average years
of experience
46 6
35 4
51 8
Let annual sales represent the independent variable and the average years represent the dependent
variable.
a) Draw a scatter diagram of the data (on the graph to the upper right).
b) Write the equation of the line of best fit relating annual sales and average years of experience.
c) Interpret the slope.
d) Predict the annual sales for 10 years of experience.
- (^) 3x + 8y = 72 34. (^) 7x โ 5y = โ 35 35. (^) x + 3y = 3
- a. b) ๐ฆ = 0.241๐ฅ โ 4.
c) For every one thousand dollars of
increase in annual sales the
average years of experience
increased by .241 years.
d) $61,
- a) (^) y = โ .448x + 19.190 b) 8%
