Question

AV Use the graph to determine a. the function's domain; b. the function's range, c. the x-intercepts, if any, d. the y-intercept, if any, and e. the missing function value, indicated by the question mark, below. f(1) = ? 4

Answer 1

From the graph, we see that when the value of the x=1, the graph of f passes thorugh the point (1,-3)

Hence, f(1) = - 3

a)

The domain of the function is the all the values of x-coordinate of the graph.

${\color{Blue} \text{Here, domain is }[0,\infty)}$

b)

The range of the function is the all the values of y-coordinate of the graph

${\color{Blue} \text{Here, range is }(-\infty, -4]}$

c)

x-intercept is defined as the value of x-coordinate when the graph of a function crosses x-axis.

Here, the graph doesn't cross x-axis.

Thus, There is no x-intercept

d)

y-intercept is defined as the value of y-coordinate when the graph of a function crosses y-axis or touches y-axis.

Here, the graph touch the y-axis at y=-4

Thus, The y-intercept is -4