Plot all points on the coordinate plane and combine these points by lines to get triangle ABC (see attached picture for details).
Write the equation of side AB:
To find y-intercept you have to substitute x=0, then:
The point is the point where line AB intersects y-axis.
Answer:
The correct options are A, D and E.
Step-by-step explanation:
We are given the function
From the graph below, we see that,
Domain and range of the function is the set of all real numbers.
<em>As y-intercept is the point where the graph of the function crosses y-axis.</em>
That is, y-intercept is obtained when x= 0.
So, on substituting, we have,
i.e.
i.e. y= 1
Thus, the y-intercept is (0,1).
<em>Also, x-intercept is the point where the graph of the function crosses x-axis.</em>
That is, x-intercept is obtained when y= 0.
So, on substituting, we have,
i.e.
i.e.
i.e. x= -7
Thus, the x-intercept is (-7,0).
Hence, the correct options for the function are,
A. The graph has a domain of all real numbers.
D. The graph has a y-intercept at (0, 1)
E. The graph has an x-intercept at (–7, 0).
