Question

Attempted but just couldnt understand (25Points)​

Answer 1

Answer:

a) Function:Yes

b) Domain: $-5\:$

c) Range:  $-5\le y\le 3$

Step-by-step explanation:

The given graph passes vertical line test hence it is a function

The given function has x-intercepts at $x=-4.5, x=-1,x=3.5$

We can therefore write this function in factored form as $y=a(2x+9)(x+1)(2x-7)$

There is a y-intercept at (0,-2)

$-2=a(2*0+9)(0+1)(2*0-7)$

$-2=-63a$

$a=\frac{2}{63}$

The required function is

$y=\frac{2}{63}(2x+9)(x+1)(2x-7)$

b) The domain refers to all values of x for which this function is defined.

The domain from the graph is $-5\:$ because there are holes at the end of the graph.

c) The range is the value of y for which x is defined or the graph exists.

From the graph the range is $-5\le y\le 3$