Properties of functions

9000010601

Level:

Identify a function which has a domain

[- 3; 1]

y = \sqrt{- x^{2} - 2 x + 3}

y = \sqrt{- x^{2} + 2 x - 3}

y = \sqrt{x^{2} + 2 x - 3}

y = \sqrt{x^{2} - 2 x + 3}

y = \sqrt{\frac{x + 3}{x + 1}}

y = \sqrt{\frac{x - 1}{x + 3}}

Level:

Identify a function which has a domain

(- \infty; - \frac{3}{2}]

y = \sqrt{- 2 x - 3}

y = \sqrt{3 x + 2}

y = - \sqrt{2 - 3 x}

y = \sqrt{x + \frac{3}{2}}

y = \sqrt{x^{2} - 3 x}

y = \frac{1}{3 x + 2}

Level:

Identify a function which is a possible inverse to the function graphed in the picture.

y = x^{- 1}

x \in (0; \infty)

y = x

x \in (0; \infty)

y = - x

x \in (0; \infty)

y = - x^{- 1}

x \in (0; \infty)

y = x^{2}

x \in (0; \infty)

y = - x^{2}

x \in (0; \infty)

Level:

Identify a function which is a possible inverse to the function graphed in the picture.

y = x^{2}

x \in (- \infty; 0]

y = x^{- 2}

x \in (- \infty; 0]

y = - x^{2}

x \in [0; \infty)

y = x^{\frac{1}{2}}

x \in [0; \infty)

y = - x^{\frac{1}{2}}

x \in [0; \infty)

y = - 2 x

x \in (- \infty; 0]

Level:

Identify a function which is a possible inverse to the function graphed in the picture.

y = x^{3}

x \in (- \infty; \infty)

y = x^{- 3}

x \in (- 2; 2)

y = x^{\frac{1}{3}}

x \in (0; \infty)

y = - x^{\frac{1}{3}}

x \in (- \infty; \infty)

y = 8 x

x \in (- \infty; \infty)

y = - 4 x

x \in (- \infty; \infty)

Level:

Identify a function which has a domain

[- 3; 5)

y = \sqrt{\frac{x + 3}{5 - x}}

y = \sqrt{(x - 3) (x + 5)}

y = \sqrt{\frac{x - 5}{x + 3}}

y = \sqrt{(x - 5) (x + 3)}

y = \log \frac{x + 5}{x - 3}

y = \log \frac{x + 3}{x - 5}

Level:

Identify a function which has a domain

(- \infty; - 2) \cup (2; \infty)

y = \sqrt{\frac{1}{x^{2} - 4}}

y = \frac{1}{x^{2} - 4}

y = \sqrt{x^{2} + 4}

y = \sqrt{x^{2} - 2}

y = \sqrt{x^{2} - 4}

y = \sqrt{\frac{1}{x^{2} - 2}}

Level:

In the following list identify an odd function.

f (x) = x^{3}

f (x) = | x^{3} |

f (x) = x^{4}

f (x) = | x^{4} |

Level:

In the following list identify a function which is not an odd function.

y = x + 3

y = x^{5}

y = \frac{3}{x}

y = x

Level:

In the following list identify an even function.

f (x) = | x |

f (x) = | x + 1 |

f (x) = x + 1

f (x) = x