Question

Answer the following in the space below the problem. Show work to support your answers to receive full credit. 1. Use the graph below to complete the following Stope = run a. Find the slope of the graph. Slope = y2-yi m= 6-1-3 -3 X₂-x; -60- (0,37-6,0 m==+ overe CVIO) b. Find the slop-intercept form for y = f(x) yemxib y = f(x) Y= x+3) c. Identify any zeros off:-D a. Identify the interval(s) where f is positive or negative. Write your answer in interval notation. Positive: Negative: b. Identify the interval(s) where fis increasing or decreasing. Write your answer in interval notation. Increasing: Decreasing: c. Use the graph to solve (x) = -4. Mark the graph to support your answer. d. Use the graph to solve f(-4). Mark the graph to support your answer.

need help on bottom part a, b, c, and d

Answer 1

Since $y=f(x)$, $f$ is positive or negative accordingly as $y$ is positive or negative.

From the graph, see that $y$ is positive when $x$ lies on the interval $\left ( -\infty,-6 \right )$ , and $y$ is negative when $x$ lies on the interval $\left ( -6,\infty \right )$ .

So,

a. $f$ is positive on $\left ( -\infty,-6 \right )$ .

  $f$ is negative on $\left ( -6, \infty \right )$ .

Since the slope of the line is negative, the function $f$ is decreasing at every point of its domain.

b. Increasing: $\phi$ (empty set).

Decreasing: $\left ( -\infty, \infty \right )$ .

c. From the graph, see that $y=-4$ when $x=2$.

So, $f(2)=-4$.

The required point on the graph is $(2,-4)$.

d. Again, from the graph, see that when $x=-4$, we have $y=-1$.

So, $f(-4)=-1$.

The required point on the graph is $(-4,-1)$.

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