Analyzing function behavior

9000142004

Level:

Identify a correct statement related to the function

f

shown in the picture.

concave up on

(- \infty; 1)

, concave down on

(1; \infty)

, no inflection

concave up on

(- \infty; 1)

, concave down on

(1; \infty)

, inflection at

x = 1

concave up on

(1; \infty)

, concave down on

(- \infty; 1)

, inflection at

x = 1

concave up on

(1; \infty)

, concave down on

(- \infty; 1)

, no inflection

9000142005

Level:

Identify a correct statement related to the function

f

shown in the picture.

concave up on

(- 1; 0)

and

(1; \infty)

, concave down on

(- \infty; - 1)

and

(0; 1)

, inflection at

x_{1} = - 1

x_{2} = 0

and

x_{3} = 1

concave up on

(- 1; 0) \cup (1; \infty)

, concave down on

(- \infty; - 1) \cup (0; 1)

, inflection at

x_{1} = - 1

x_{2} = 0

and

x_{3} = 1

concave up on

(- \infty; - 1)

and

(0; 1)

, concave down on

(- 1; 0)

and

(1; \infty)

, inflection at

x_{1} = - 1

x_{2} = 0

and

x_{3} = 1

concave up on

(- \infty; - 1) \cup (0; 1)

, concave down on

(- 1; 0) \cup (1; \infty)

, inflection at

x_{1} = - 1

x_{2} = 0

and

x_{3} = 1

9000142006

Level:

Identify a correct statement related to the function

f

shown in the picture.

concave up on

(- \infty; 0)

and

(1; \infty)

, concave down on

(0; 1)

, a unique inflection at

x = 0

concave up on

(- \infty; 0)

and

(1; \infty)

, concave down on

(0; 1)

, inflection at

x_{1} = 0

and

x_{2} = 1

concave up on

(- \infty; 0) \cup (1; \infty)

, concave down on

(0; 1)

, a unique inflection at

x = 0

concave up on

(0; 1)

, concave down on

(- \infty; 0)

and

(1; \infty)

, inflection at

x_{1} = 0

and

x_{2} = 1

1003259601

Level:

Find all the asymptotes of the graph of the function

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

x = 3

y = 2 x

y = 3

y = 2 x

x = 3

y = - 2 x

x = 2

y = 3 x

x = 3

y = 2

1003259602

Level:

Find all the asymptotes of the graph of the function

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

x = - 1

x = 1

y = x

x = - 1

x = 1

y = 1

x = - 1

x = 1

y = x + 1

x = - 1

x = 1

x = - 1

x = 1

y = 0

1003259603

Level:

Find all the asymptotes of the graph of the function

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

y = 0

there is no an asymptote

x = 0

x = - 1

y = 0

1003259604

Level:

Find all the asymptotes of the graph of the function

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

x = 1

x = - 1

y = 0

x = 1

x = - 1

x = 1

x = - 1

y = 1

y = 1

y = - 1

y = 0

x = 1

y = 0

1003259605

Level:

Find all the asymptotes of the graph of the function

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

x = 2

y = x - 1

x = 2

y = x

x = 2

x = 2

y = 1

x = 2

y = - 1

1003259606

Level:

Find all the asymptotes of the graph of the function

f (x) = e^{\frac{1}{x}}

x = 0

y = 1

x = 0

y = 0

x = 0

there is no an asymptote

x = 0

y = - 1

1003259607

Level:

Find all the asymptotes of the graph of the function

f (x) = x e^{\frac{1}{x}}

x = 0

y = x + 1

x = 0

y = x - 1

x = 0

there is no an asymptote

x = 0

y = 1

Analyzing function behavior

9000142004

9000142005

9000142006

1003259601

1003259602

1003259603

1003259604

1003259605

1003259606

1003259607

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