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svp [43]
2 years ago
12

1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In e

ach case, explain how you know. (1 point each)​

Mathematics
1 answer:
Helen [10]2 years ago
6 0

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

__

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

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Answer:

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

Step-by-step explanation:

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Assume x be the width of the rectangle.

The length of the rectangle is to be 6 cm more than twice the width.

The length of the rectangle is= (2x+6) cm

Then the diagonal of the rectangle is \sqrt{length^2+width^2}

                                                             =\sqrt{(2x+6)^2+x^2}

                                                            =\sqrt{4x^2+24x+36+x^2}

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According to the problem,

\sqrt{5x^2+24x+36}=15

Squaring both sides

\Rightarrow{5x^2+24x+36}=15^2

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\Rightarrow{5x^2+24x+36-225=0

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⇒x+9=0  or,   5x-21=0

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Since the width of a rectangle can not negative.

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The width of rectangle is = 4.2 cm

The length of the rectangle is =(2×4.2+6)

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She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

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