Question

Use the drawing tools to form the correct answer on the number line.Function fis a quadratic function passing through the points (-4,0), (0,–12) and (3,0). Function gis modeled by the graph.1016V4-2-Х-8 6-4 -2 02-246810-4-6--8-Over which interval are both functions negative?Drawing Toolskona tool to be

Answer 1

step 1

Plot the given points of the function f(x)

see the attached figure below

Please wait a minute to draw the figure

The function f(x) is negative in the interval [-4,-3]

The function g(x) is negative in the interval (-infinite, -5] U (1, infinite)

therefore

Both functions are negative in the interval [1,3]

In a number line, the solution is the shaded area at the right of x=1 (closed circle) and at the left of x=3 (closed circle)

see the figure below