Cameron adds 4 new hats to his collection each year. He started with only 3. Compare and contrast these four functions using complete sentences. Focus on the slope and y-intercept first, and then on any additional properties of each function. (10 points)

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The slope of f(x) is 4 and y-intercept is -3. It is an decreasing function.

The slope of g(x) is -4 and y-intercept is -3. It is an decreasing function.

The slope of h(x) is -4 and y-intercept is 3. It is an increasing function.

The slope of j(x) is 4 and y-intercept is 3. It is an increasing function.

Step-by-step explanation:

The slope intercept form of a line is

Where, m is slope and b is y-intercept.

If a line passing though two points, then the equation of line is

From the given information it is noticed that the function f(x) passing through the points (1,1) and (2,5).

The slope of f(x) is 4 and y-intercept is -3. It is an decreasing function.

From the given information it is noticed that the function g(x) passing through the points (0,-3) and (-2,5).

The slope of g(x) is -4 and y-intercept is -3. It is an decreasing function.

The function h(x) is

The slope of h(x) is -4 and y-intercept is 3. It is an increasing function.

It is given the initial amount of hat is 3 and number of hats increased by 4. So the function j(x).

The slope of j(x) is 4 and y-intercept is 3. It is an increasing function.