Use the four functions below for this question:

f(x)

g(x)

h(x)

j(x)

Jesse got $5 from his dad and he makes $2 each time he walks the neighbor's dog.

x

g(x)

–2

–1

2

–9

6

–17

j(x) = 2x – 5

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.

Function f(x) is not provided, so we cannot analyze it.

Function g(x) is also not provided in the problem, so we cannot analyze it either.

Function h(x) is not provided in the problem, so we cannot analyze it as well.

Function j(x) is given as j(x) = 2x - 5. The slope of this function is 2, meaning for every increase of 1 in x, the value of the function increases by 2. The y-intercept is -5, meaning when x=0, the value of the function is -5. This linear function represents a line that rises with a constant slope of 2 and crosses the y-axis at -5, which can represent a situation such as Jesse's, where he starts with $5 (negative in this case as a debt) and earns $2 for each successful task.

In conclusion, since functions f(x), g(x), and h(x) are not provided, we can only analyze function j(x). Function j(x) has a slope of 2 and a y-intercept of -5. Since the other functions are not given, we cannot make any comparisons or contrasts with them.

To compare and contrast the four functions, let's analyze their slope and y-intercept first, and then discuss any additional properties.

1. f(x)
Unfortunately, the function f(x) is not given in the question, so we cannot compare its slope and y-intercept to the other functions.

2. g(x)
The slope of function g(x) represents the amount Jesse makes when he walks his neighbor's dog, which is $2. The y-intercept is not given, so we cannot compare it to other functions. However, we know that the initial amount Jesse received from his dad, which can be considered as the y-intercept, is $5.

3. h(x)
The function h(x) is not mentioned in the question, so we don't have any information to compare its slope and y-intercept with the other functions.

4. j(x) = 2x – 5
The slope of function j(x) is 2, indicating that for every unit increase in x, the function increases by 2. The y-intercept is -5, implying that the function crosses the y-axis at -5.

In summary, we cannot compare the slope and y-intercept of f(x) and h(x) as they are not provided. However, for g(x), the slope represents the amount Jesse makes for walking the neighbor's dog ($2), and the y-intercept represents the initial amount he received from his dad ($5). For j(x), the slope is 2, indicating a constant increase, and the y-intercept is -5, showing where the function crosses the y-axis.