The table below represents a linear function f(x) and the equation represents a function g(x).
x
f(x)
−1
−11
0
−1
1
9
g(x)
g(x) = 5x + 1
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

- anonymous

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- chestercat

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- anonymous

help please i give medals :)

- anonymous

@mathmath333

- anonymous

@Elsa213

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- anonymous

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@triciaal

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- anonymous

Please help me :((((

- triciaal

f(x) plot the points use any 2 points find the slope change in y/ change in x
g(x) given y = m x + b the slope is m

- triciaal

compare the slopes means compare the 2 numbers
approved sentence: the slope of "this function" is greater than (or less than) the slope of "that function".

- triciaal

Part B y-intercept occurs when x = 0
find the y value when x = 0 for each function
look at the 2 values which is greater

- madhu.mukherjee.946

yeah triciaal is correct

- anonymous

im a still a little confused on part A i don't understand how to solve to functions @triciaal

- anonymous

@mathway

- triciaal

|dw:1438875626046:dw|

- anonymous

there are three plots so which do two do i use @triciaal

- madhu.mukherjee.946

once again tell me the values of f(x) and g(x)

- anonymous

x
f(x)
−1
−11
0
−1
1
9
g(x)
g(x) = 5x + 1

- anonymous

wait nvm i understand know thanks

- anonymous

but could you help with another question

- madhu.mukherjee.946

are you asking me?

- anonymous

yes both of you :)

- madhu.mukherjee.946

ok:)

- madhu.mukherjee.946

say and let me see i f i can

- anonymous

The table below represents the distance of a car from its destination as a function of time:
Time
(hours)
x Distance
(miles)
y
0 900
1 850
2 800
3 750
Part A: What is the y-intercept of the function, and what does this tell you about the car? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents. (4 points)
Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

- madhu.mukherjee.946

i' m sorry darling probably i cannot ask tricial

- anonymous

ok thanks anyways :)

- madhu.mukherjee.946

your welcome

- anonymous

@triciaal can you help?

- anonymous

@Kainui

- anonymous

@mathstudent55

- anonymous

@AliceCullen

- anonymous

@200205650

- anonymous

@Luigi0210

- anonymous

can you help me?

- triciaal

sorry I was away

- triciaal

|dw:1438882790573:dw|

- triciaal

Part A y-intercept when x = 0
look at the graph when x = 0 y = 900
y is the distance of a car away from its destination

- triciaal

part B average rate of change of the function
this is the change in distance with time
change in distance y2-y1
change in time x2 - x1
see this is the same as the slope of the line?
between x = 1 and x = 3

- triciaal

|dw:1438883389612:dw|

- anonymous

would it be 2?

- triciaal

change in distance with time is the speed how many miles in what time

- triciaal

x2 -x1 = 2 yes but you need to plug in the y values (from the table) then do all of the computation

- triciaal

Part C the domain is the set of x-values that satisfies the function

- triciaal

the question is asking first to find when y = 0 what is the value of x and then state the values of x in set notation

- anonymous

I'm sorry but this is all confusing part b and c

- triciaal

|dw:1438883984365:dw|

- triciaal

you really need to read the responses then let me know what your question is

- anonymous

ok

- triciaal

start here |dw:1438884361237:dw|

- anonymous

50/2= 25 is this right?

- triciaal

sign

- anonymous

sign?

- triciaal

|dw:1438884802974:dw|

- anonymous

oh i put the y values backwards and what does this represent?

- anonymous

the -50

- triciaal

read the response above !
what is the graph about ?

- anonymous

the distance a car is from its destination but thank you I got it now :) thanks for all your help i appreciate it!

- triciaal

rate is the speed at which it is travelling 50 miles in one hour
you are welcome

- anonymous

thanks again have a nice day bye! :)

- triciaal

you too

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