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(a)

Observe the graph.

At $\"x=-4\"$ the function is $\"2\"$ units below $\"x-\"$ axis.

Therefore the point $\"(-4,$ lies on the graph $\"f(x)\"$ .

Hence, $\"f(-4)=-2\"$ .

At $\"x=3\"$ the function is $\"4\"$ units above $\"x-\"$ axis.

Therefore the point $\"(3,$ lies on the graph $\"g(x)\"$ .

Hence, $\"g(3)=4\"$ .

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(b)

Find the value of $\"x\"$ where the graph $\"f(x)=g(x)\"$ .

Observe the graph.

The values of $\"x\"$ for which the $\"y\"$ values of both the functions are equal.

At $\"x=-2\"$ , the functions $\"f\"$ and $\"g\"$ are $\"1\"$ unit above $\"x-\"$ axis.

Therefore the point $\"(-2,$ lies on the graph.

Hence, $\"f(-2)=1\"$ and $\"g(-2)=1\"$ .

At $\"x=2\"$ , the functions $\"f\"$ and $\"g\"$ are $\"2\"$ units above $\"x-\"$ axis.

Therefore the point $\"(2,$ lies on the graph.

Hence, $\"f(2)=2\"$ and $\"g(2)=2\"$ .

The values of $\"x\"$ are $\"-2\"$ and $\"2\"$ .

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(c)

Find the value of $\"x\"$ where the graph $\"f(x)=-1\"$ .

Observe the graph.

$\"f(x)=-1\"$ at $\"x=-3\"$ and $\"x=4\"$ .

Hence, $\"f(-3)=-1\"$ and $\"f(4)=-1\"$ .

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(d)

Observe the graph.

$\"f(x)\"$ decreases for all values of $\"x\"$ between $\"0\\leqslant$ .

$\"f(x)\"$ decreases on the interval $\"\\left$ .

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(e)

The domain of $\"f\"$ consists of all values of $\"x\"$ on the graph of $\"f\"$ .

$\"f(x)\"$ is defined for $\"-4\\leqslant$ .

The domain of $\"f\"$ is $\"\\left$ .

The range of $\"f\"$ consists of all values of $\"y\"$ on the graph of $\"f\"$ .

$\"f\"$ takes all the value from $\"-2\"$ to $\"3\"$ .

The range of $\"f\"$ is $\"\\left$ .

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(f)

The domain of $\"g\"$ consists of all values of $\"x\"$ on the graph of $\"g\"$ .

$\"g(x)\"$ is defined for $\"-4\\leqslant$ .

The domain of $\"g\"$ is $\"\\left$ .

The range of $\"g\"$ consists of all values of $\"y\"$ on the graph of $\"g\"$ .

$\"g\"$ takes all the value from $\"0.5\"$ to $\"4\"$ .

The range of $\"g\"$ is $\"\\left$ .

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(a) $\"f(-4)=-2\"$ and $\"g(3)=4\"$ .

(b) The values of $\"x\"$ are $\"-2\"$ and $\"2\"$ .

(c) $\"x=-3\"$ and $\"x=4\"$ .

(d) $\"\\left$ .

(e) Domain of $\"f\"$ is $\"\\left$ and range of $\"f\"$ is $\"\\left$ .

(f) Domain of $\"g\"$ is $\"\\left$ and range of $\"g\"$ is $\"\\left$ .