Question

The table below represents a linear function f(x) and the equation represents a function g(x):хf(x)-1 -12g(x)0-6g(x) = 2x + 61 0Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)Part B: Which function has a greater y-intercept? Justify your answer. (4 points)(10 points)

Answer 1

the given function is,

g(x) = 2x + 6

compare this with the standard eqation of the line, y = mx + c, here m = slope , C = y intercept

so, the slope of the above function is

m = 2

the equation of the line for the function f(x) can be calculated as,

the slope of the function f(x) is,

`\begin{gathered} m=\frac{-6-(-12)}{0-(-1)_{}} \\ m=(6)/(1) \\ m=6 \end{gathered}`

the equation of function will be,

`\begin{gathered} y-(-6)=6(x-0) \\ y+6=6x \\ y=6x-6 \end{gathered}`

so, the functions are,

f(x) = 6x - 6 , slope = m = 6 and y intercept is = -6

and

g(x) = 2x + 6 slope m = 2 and y intercept is +6

so, +6 > -6

thus, the y intercept of g(x) is greater than f(x)

i have solved your problem in the answer tab.

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