Question

The graph of an equation is given.

(a). Find the intercepts.

(b). Indicate whether the graph is symmetric with respect to the x-axis, the y axis, or the origin.

Short answer

(a). Intercepts points -

• 1 tick above (1,0)

(b). The graph is no symmetric about any axis.

Step-by-step solution

Part(a).  Step 1.  Given data

Graph of an equation is given

Part(a).  Step 2.  To Find

Find the intercepts.

Part(a).  Step 3.  Explanation

Finding the intercepts -

Intercepts are the values of x and y, when the graph crosses or touch the coordinate axis.

For x-intercepts -

There is no point on the graph that lies on the y-axis

For y-intercepts -

• 1 tick above (0, 1)

Part(b).  Step 1.  Given Data

Graph of an equation is given

Part(b).  Step 2.  To Find

Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin.

Part(b).  Step 3.  Explanation

If the graph is symmetric with respect to the x - axis, It must have points (x, -y) for every (x, y).

Thus,the graph is not symmetric with respect to the x-axis since there is no reflection about the x-axis.

If the graph is symmetric with respect to the y - axis, It must have points (-x, y) for every (x, y).

Thus,the graph is not symmetric with respect to the y-axis since there is no reflection about the y-axis.

The coordinates of a graph that is symmetric with respect to the origin have their counterpart points whose signs are opposite. Illustratively, the graph has a mirror image on the x-axis of its reflection on y-axis.

Thus, The graph is not symmetric with respect to the origin.