A mountain climber is scaling a 500-foot cliff. The graph below shows the elevation of a climber over time. a) Identify the slope, y-intercept, and x-intercept.
m=
y=
x=

b) Interpret the slope, x-intercept, and y-intercept of the graph.
Slope:
x-intercept:
y-intercept:

c) Explain two different ways to determine the value of f(3).

d) Determine the value of f(3).
f(3)=

e) Interpret the meaning of f(3).

f) How long does it take the climber to reach the top of the cliff?
Express your answer in Hours and Minutes. Justify your answer.

g) Determine the domain and range based on the graph. Write the domain and range as an inequality.

h) Is the domain continuous or discrete? Explain why the domain is continuous or discrete.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

well what did you do it matters what you did : )

step-by-step explanation: