a Recall that a zero of a function is a value of x such that f(x)=0. In other words, it is the value of x for which the function intercepts the x-axis. Notice that there are infinitely many possible linear functions that satisfy this condition.
Since the only requirement for the function is that its graph must pass through the point (3,0), the slope of the line can take any value we want. We can choose an arbitrary value for the slope and, since we know a point on the line, we can use the point-slope form to write the equation.
b Now, to find a linear function with a zero at x=4, we will proceed just as we did in Part A. Let's choose a value for the slope, for example m=3. We know that the line must pass through the point (4,0). Therefore, let's substitute these values into the point-slope form.
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.
