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Answer:
The new graph has a steeper slope and a y-intercept of 8.
Step-by-step explanation:
From Analytical Geometry, we define a straight line by following first order polynomial (linear function):
(1)
Where:
- Independent variable.
- Dependent variable.
- y-Intercept.
- Slope.
And the slope represents the change in dependent variable () divided by the change in independent variable (
). That is:
If and
, then the new line is steeper with respect to the original line.
Let , its slope and y-intercept are 5 and 0, respectively. If slope is changed into 9 and y-intercept becomes 8, then the new graph has a steeper slope and a y-intercept of 8.
ANSWER
EXPLANATION
The given function is a piecewise defined function.
is the y-value that corresponds to
To determine that y-value, we need to trace from
to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of
This implies that, when
Therefore
See graph.
EXPLANATION
The given function is a piecewise defined function.
is the y-value that corresponds to
To determine that y-value, we need to trace from
to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of
This implies that, when
Therefore
See graph.