Question

Which rule describes the function whose graph is
shown?
f(x) ={x+6 x<-4
x^2, -2 6- x, x>4
g(x)={x+6, x<-2
x^2, -2 6-x, x>2
h(x)={x+4, x<-2
x^2, -2 4-x, x>2

Answer 1

b. g(x)...

domain: a. (-infinity, infinity)

range: b. (-infinity, 4}

Answer 2

Option (B) is the correct option.

What is the graphing function?

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation".

For the given situation,

$f(x) ={x+6 x < -4x^2, -2 6- x, x > 4$

$g(x)={x+6, x < -2x^2, -2 6-x, x > 2$

$h(x)={x+4, x < -2x^2, -2 4-x, x > 2$

Plot the graph for the given functions $f(x), g(x), h(x)$.

After plotting all the functions, the function $g(x)$ describes the graph shown.

Hence, option (B) is the correct option.

Learn more about  graphing functions here

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