Part A: The slope of the function f( x ) is one greater than the slope of the function g( x ), f( x ) having 6 as the slope, and g( x ) having 5,
Part B: The function f( x ) has a greater y - intercept.
I believe you meant the table to be the following,
x | f(x)
- 1 - 7
0 - 1
1 5 .... if that is so, we can determine the slope in two ways through the change in the y - axis over the change in the x - axis. f( x ), otherwise known to function of x, is also known as the y - value. Therefore, if f( x ) changes by an additional 6, and x changes by an additional 1, we know that the slope should be , or 6.
Now the function " " is in point - slope form, so we know that the slope is coefficient of x, in this case 5. We can compare the slopes by the following claim -
Part A Solution: The slope of the function f( x ) is one greater than the slope of the function g( x ), f( x ) having 6 as the slope, and g( x ) having 5.
To determine the y - intercept of the function f( x ), we can check the point ( 0, - 1 ). When x is 0, y is - 1, and therefore the y - intercept should be - 1. At the same time the function g( x ) has a y - intercept of - 4, as it is in the form g( x ) = m x + b, where b = y - intercept. Part B Solution: Thus, the function f( x ) has a greater y - intercept.
Written an alternate way it is x^2/3 • 5x^3/3 (because 5x is to the power of one and in order to add fractions, you have to have the same denominator). So when you multiply the like terms, you add the exponents (2/3 and 3/3).