Rational functions | math4u.vsb.cz

9000014209

Level:

B

Consider the function

f (x) = \frac{3 x + 1}{x - 2}

. Find all

x

such that

f (x) > 0

.

x \in (- \infty; - \frac{1}{3}) \cup (2; \infty)

x \in (- \frac{1}{3}; \infty)

x \in (2; 3)

x \in (- \infty; - 3) \cup (2; \infty)

9000014210

Level:

B

Consider the function

f (x) = \frac{2 x + 1}{x + 3}

. Find all

x

such that

f (x) < 0

.

x \in (- 3; - \frac{1}{2})

x \in (- \infty; - 3) \cup (\frac{1}{2}; \infty)

x \in (- 3; \infty)

x \in (- \infty; - \frac{1}{2})

9100002909

Level:

B

Identify a possible graph of the function

f (x) = \frac{1}{x + 2}

.

9100003203

Level:

B

Identify a possible graph of the function

f (x) = 1 - \frac{2}{x}

.

9100003204

Level:

B

Identify a possible graph of the function

f (x) = - 2 - \frac{1}{x}

.

9100003205

Level:

B

Identify a possible graph of the function

f (x) = \frac{1}{x - 2}

.

9100003206

Level:

B

Identify a possible graph of the function

f (x) = \frac{2}{x + 1}

.

9100003207

Level:

B

Identify a possible graph of the function

f (x) = 2 + \frac{1}{x + 1}

.

9100003208

Level:

B

Identify a possible graph of the function

f (x) = 2 - \frac{1}{x - 1}

.

9100003209

Level:

B

Identify a possible graph of the function

f (x) = - 2 + \frac{1}{x + 1}

.