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.

1 answer

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.