Question

If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

A The graph of f(x) has zero x-intercepts.

B The graph of f(x) has exactly one x-intercept.

C The graph of f(x) has exactly two x-intercepts.

D The graph of f(x) has infinitely many x-intercepts.

Answer 1

Answer:

B

Step-by-step explanation:

A linear graph passes through the X - axis exactly once

Answer 2

Answer:

B:The graph of f(x) has exactly one x- intercept.

Step-by-step explanation:

We are given that f(x) is a linear function and domain of f(x) is the set of real numbers .

We have to find the statement which is not true about given function.

Linear function: It is defined as the function of degree 1.

Suppose,$f(x)=x+1$

x-intercept: it is defined as the value of x  when y=0.

When f(x)=0

Then, $x+1=0$

$x=-1$

Hence, x=-1 is the x -intercept of given function.

Therefore, linear function have only one x- intercept.

Answer:B:The graph of f(x) has exactly one x- intercept.