Question

use the graph of the function to answer the questions. answers may vary.
(a) estimate f(2).
f(2) = -2
(b) estimate x such that f(x)= - 10.
x = 4
(c) state the domain and range for f(x). (enter your answers using interval notation.)
domain -2,6
range -10,8
(d) estimate the vertical and horizontal intercepts for f(x). (round your answers to one deci

Explanation:

Step1: Find f(2)

Locate x = 2 on x - axis, then find corresponding y - value on the graph. The line passes through (2,-2) so f(2)=-2.

Step2: Find x when f(x)=-10

Locate y = - 10 on y - axis, then find corresponding x - value on the graph. The x - value is 4 when y=-10.

Step3: Determine domain

The domain is the set of all x - values for which the function is defined. Looking at the graph, the left - most x - value is - 2 and the right - most x - value is 6. So the domain is [-2,6].

Step4: Determine range

The range is the set of all y - values for which the function is defined. The lowest y - value is - 12 and the highest y - value is 8. So the range is [-12,8].

Step5: Find vertical intercept

The vertical intercept is the point where the graph crosses the y - axis. The graph crosses the y - axis at y = 2. So the vertical intercept is 2.

Step6: Find horizontal intercept

The horizontal intercept is the point where the graph crosses the x - axis. The graph crosses the x - axis at x = 1. So the horizontal intercept is 1.

Answer:

(a) f(2)=-2
(b) x = 4
(c) domain: [-2,6], range: [-12,8]
(d) vertical intercept: 2, horizontal intercept: 1