Let x = age in years of a rural quebec woman at the time of her first marriage. in the year 1941, the population variance of x was approximately σ2 = 5.1. suppose a recent study of age at first marriage for a random sample of 41 women in rural quebec gave a sample variance s2 = 3.3. use a 5% level of significance to test the claim that the current variance is less than 5.1. find a 90% confidence interval for the population variance.

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

Step-by-step explanation:

We have been told that f(x) is a linear function and the domain of f(x) is the set of all real numbers. We are asked to find the statement, which is not true for our given function.

Let us check our given choices one by one.

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

We know that graph of a linear function is a straight line. For a horizontal line the graph of f(x) has zero x-intercepts for all the horizontal lines except that is the equation of x-axis.

Therefore, statement A is true.

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

We know that a linear function crosses exactly at one place, therefore, statement B is true as well.

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

We know that a linear function can have at-most one x-intercept, therefore, statement C is not true.

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

When the linear function coincides with x-axis that is , then each point on the line is x-intercept.

Therefore, statement D is true as well.