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Dimas [21]
3 years ago
5

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

Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer:

(A)

Slope for f(x) is 3

Slope for g(x) is 4

(B)

So, y-intercept for f(x) is greater

Step-by-step explanation:

(A)

Slope of f(x):

we can select any two points

(-1,-6)

so, x1=-1 and y1=-6

(0,-3)

so, x2=0 , y2=-3

now, we can use slope formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{-3+6}{0+1}

m=3

Slope of g(x):

we can compare with

y=mx+b

g(x)=4x-5

so, m=4

so, slope is 4

(B)

For f(x):

we can select point as

x=0 , y=-3

so, y-intercept is -3

For g(x):

g(x)=4x-5

we can compare with

y=mx+b

where

b is y-intercept

we get

b=-5

we know that -3 is greater than -5

So, y-intercept for f(x) is greater

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<em>Answer is option d</em><em> </em>

<em>Answer is </em><em>given below with explanations</em><em>. </em>

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