Question

Question 10 of 10

Mark all of the statements that are true.
A. The range for this function is the set {3}.
B. All real numbers are in the range of this function.
C. This graph is not a function because the value of y is the same for
every value of x.
D. The domain for this function is the set (3).
E. The domain for this function is all real numbers.

Answer 1

answer : a and b

We have the graph of a function (say f(x)).
We have to determine which of the given statements are correct w.r.t this graph of f(x).
What do you mean by domain and range of a function?
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
According to the question, we have the equation of this line as -
y = 3.
The value of y is constant for every value of x. Therefore, the range of the function is Set → {3}.
The function has same value → y= 3for all values of x, ranging from →
- ∞ to + ∞, Therefore, its domain is the set of all Real numbers.
A function can have same value of y for different values of x.
Hence, Option A and B are correct.