By critically observing the graph, we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
In conclusion, there are four (4) points of intersection on this graph.
Read more on graphs here: brainly.com/question/25875680
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Answer:
The answer to your question is below
Step-by-step explanation:
Functions
f(x) = 12x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
f⁻¹(-2) = -4
b) f(-4) = 12x
f(-4) = 12(-4)
f(-4) = -48
c) f(f⁻¹(-2)) =
f(f⁻¹(x)) = 12(2x) = 24x
f(f⁻¹(-2)) = 24(-2) = -48
I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
= -4
b) f(-4) = 1/2(-4)
= -2
c) f(f⁻¹(x)) = 1/2(2x)
= x
f(f⁻¹(-2)) = -2
Answer:
its b
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
h(7)= 7²-1= 49-1= 48
f(h(7))= 48/3 -12
= 16-12
= 4
