Respuesta :

Answer:

Statements A and D

Step-by-step explanation:

A. Since all of the values surrounding x = 0.5 reflect across that point, there is a line of symmetry at x = 0.5

B. This is not a y intercept since in the point (-12,0) the x value is not zero and at y intercepts, it should be zero.

C. Same thing from statement B, the y value for the x intercepys should be zero, not 4 or -3.

D. To help visualize this, take the slope of the secant line from x = -4 to x = 0.

(8 - (-10))/(-4 - 0) = 18/(-4) or -9/2. Since the slop is negative, the function is decreasing on this interval.

Option (A) there is a line of symmetry at [tex]x=0.5[/tex] and (D) in the interval from [tex]x=-4[/tex] to [tex]x= 0[/tex], f(x) is decreasing is the correct answer.

What is a graph?

A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.

For the given situation,

Plot these points in the graph as x in x-axis and f(x) in the y-axis as shown.

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

The graph shows the symmetry, that is at [tex]x = 0.5[/tex] if we draw a line, it divides the graph equally and it is similar on both sides.

From the graph, it is clearly seen that the graph is decreasing from the interval [tex]-4[/tex] to [tex]0[/tex] and starts increasing from [tex]1[/tex] to [tex]5[/tex].

Hence we can conclude that option (A) there is a line of symmetry at [tex]x=0.5[/tex] and (D) in the interval from [tex]x=-4[/tex] to [tex]x= 0[/tex], f(x) is decreasing is the correct answer.

Learn more about graphs here

https://brainly.com/question/7563606

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