The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range

Answer: OPTION B

Step-by-step explanation:

The red graph depicts the fundamental form of a quadratic function (the most basic version), with its vertex located at the origin.

The function g(x) results from moving the parent function 2 units to the right and 1 unit upwards.

As a consequence, considering this, the transformation takes the following structure:

The horizontal displacement is dictated by the value of h, while the vertical shift is determined by k.

<pThus, the resulting function is:

Answer:

The charge for the first three hours is $4 per hour.

Subsequently, the rate decreases to $2 per hour until the sixth hour.

Between the sixth and tenth hours, the cost is reduced further to $1 per hour.

The maximum charge for renting the bike is $30.

Step-by-step explanation:

The incline on the graph indicates the hourly rate for the bike rental.

During the initial three hours, the rental fee rises by $4 for each hour.

From the third to the sixth hour, the graph’s slope indicates a rate of $2 per hour for the rental.

The charge drops to $1 per hour from the sixth to the tenth hour.

After the tenth hour, the price, P, remains constant. The highest fee for the bike rental is $30.

Answer:

(1, 1), (2, 2.333) and (3, 3.666).

Step-by-step explanation:

To solve this equation, we can select various values for x and then compute the corresponding y values.

<pFor instance, when x = 1, we find:

4*1 - 3y = 1

3y = 3

y = 1

When x = 2, we discover:

4*2 - 3y = 1

3y = 7

y = 2.333

Then for x = 3, we have:

4*3 - 3y = 1

3y = 11

y = 3.666

Therefore, the coordinates we will plot are (1, 1), (2, 2.333), and (3, 3.666).

Refer to the attached image for the plot.

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

<span>Starting with the equation f = v + at

Subtract v on both sides:

f - v = at

Divide both sides by a:

(f - v) / a = t

Swap the sides:

t = (f - v) / a

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