Mathematics, 18.01.2020 04:31 heber9609

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −9 0 −1 1 7 g(x) g(x) = 3x − 2 part 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)

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Answer from: vDxrk

Part A: The slope of function f(x) is greater than the slope of g(x) .

Part B: The function f(x) has a greater y-intercept.

Given:

The table of values for the function f(x) is:

f(x) :

The equation of second function is g(x)=3x-2 .

To find:

Part A: Find the slope of f(x) and g(x) and then compare them.

Part B: Find the y-intercepts of both functions and then compare them.

Explanation:

Part A:

From the given table it is clear that the function passes through the points (-1,-9) and (0,-1) . So, the slope of the function f(x) is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-1-(-9)}{0-(-1)}$

$m=\dfrac{-1+9}{0+1}$

m=8

Slope of the function f(x) is .

The slope-intercept form of a line is:

y=mx+b

Where, is slope and is y-intercept.

Comparing g(x)=3x-2 with slope-intercept form, we get

m=3

Slope of the function g(x) is .

Since , therefore the slope of function f(x) is greater than the slope of g(x) .

Part B:

The function f(x) passes through the point (0,-1) . So, y-intercept of f(x) is .

Comparing g(x)=3x-2 with slope-intercept form, we get

b=-2

So, y-intercept of g(x) is .

Since -1-2 , therefore the function f(x) has a greater y-intercept.

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The table below represents a linear function f(x) and the equation represents a function g(x): x f(

Answer from: ngilliam1444

Part A: The slope of f(x) is greater than the slope of g(x)

Part B: F(x) has a greater y-intercept.

========================================

Step-by-step explanation:

The table for f(x) is as shown in the attached figure with red color.

g(x) = 3x-2

Part A: Write a sentence to compare the slope of the two functions?

The slope of the line =(y2 - y1)/(x2 - x1)

So, using any two points to find the slope of f(x)

The slope of f(x) is = $\frac{-1-(-9)}{0-(-1)} =\frac{8}{1} =8$

For the function g(x) = 3x-2

The slope of g(x) = 3

So, the slope of f(x) is greater than the slope of g(x)

=================================================

Part B: Which function has a greater y-intercept?

To find y-intercept put x = 0

For the function f(x)

When x = o ⇒ f(x) = -1 (From the table)

And for the function g(x)

when x = 0 ⇒ g(x) = 3*0 - 2 = -2

So, F(x) has a greater y-intercept.

Answer from: Quest

by definition, an arc subtended by a central angle of some given measure has the same measure. so $(3x+18)^\circ=147^\circ$ .

Answer from: Quest

A) 144.44 sq inches i believe
20 points angela decides to recycle a large oatmeal container by using it to hold a friends birthd

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