Question

Graph of y+1+0.1. Mark all the statements that are true.

A. This graph is a function whose range is the set (3)
B. This graph is not a function because the value x = 3 is assigned to more than one y value.
C. This graph is a function because the value of x is the same for every value of y
D. The equation of this X = 3
E. This graph is a function whose domain is the set (3)"

Answer 1

The graph is a linear function with a slope of 1 and a y-intercept of 1. It is a function, but the range is not (3) and the domain is not (3).

Step-by-step explanation:

To analyze the statements, let's first understand the given graph of y = x + 1 + 0.1.

This is a linear function with a slope of 1 and a y-intercept of 1.

The graph is represented by a straight line that passes through the point (0, 1) and has a slope of 1.

Now let's analyze the statements:

A. The graph is a function. Since every value of x corresponds to exactly one value of y, the graph is indeed a function. However, the range of the function is not (3), it is actually (-∞, ∞).

B. This graph is a function because the value of x is the same for every value of y.

This statement is false. In the given function, different values of x correspond to different values of y, so the value of x is not the same for every value of y.

C. The equation of this graph is y = x + 1 + 0.1, not X = 3.

Therefore, statement D is false.

E. The graph is not limited to the domain (3).

The domain of the function is (-∞, ∞), meaning that every real number can be plugged in for x.

In summary, statements A and E are false, while statements B, C, and D are true.