Question

Please help me on my assignment The ? Options are x and y

Answer 1

x, x

1.7

$\lbrack1,7\rbrack$

Explanation

Step 1

we can see in the graph, that :

the solutions of the equation f(x)=0, are the values where y =0 , it is when the line crosses the x-axis, so the solution of the first blank is

x

Step 2

and, the solution of the inequality

$f(x)>0$

is the set of values wich the graph is above the x-axis

Step 3

now, for the next question, let's check the points where the line crosses the x-axis, and the intervals where the lines is above the x-axis

we can see the solution of f(X)=0 are

$\begin{gathered} x=1\text{ and x=7} \\ so \\ Input\text{ in the blank} \\ 1,7 \end{gathered}$

Finally, check the interval where the graph is above the x-axis, it is from a to 7, in interval notation

$\lbrack1,7\rbrack$

I hope this helps you