3. Functions

State the inputs and outputs of the following relation. Is it a function? {$\(\left\)(-3,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(3,5\(\right\))$}

Is the equation $y=-2x+10$ a function? If so, rewrite it in function notation and evaluate at $f\(\left\)(3\(\right\))$.

State the inputs and outputs of the following relation. Is it a function? {$\(\left\)(2,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(2,9\(\right\))$}

Find the domain of $f\(\left\)(x\(\right\))=\(\frac{1}{x^2-5x+6}\)$ . Express your answer using interval notation.

Find the domain of $f\(\left\)(x\(\right\))=\(\sqrt{x+4}\)$ . Express your answer using interval notation.

Find the domain and range of the following graph (write your answer using interval notation).

Is the equation $y^2+2x=10$ a function? If so, rewrite it in function notation and evaluate at $f\(\left\)(-1\(\right\))$.