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Otrada [13]
3 years ago
14

Attempted but just couldnt understand (25Points)​

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

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

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