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Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?

(A) The function f(x) has a higher y-intercept.

(B) The function g(x) has a higher y-intercept.

(C) They both have the same y-intercept.

(D) The relationship between y-intercepts cannot be determined.

Below are two different functions, f(x) and g(x). What can be determined about their-example-1
User Konsolas
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2 Answers

3 votes

we have that


f(x)=4x-1

In the table

Let


A(1,3)\\B(4,6)\\C(7,9)

Step
1

Find the equation of the line of g(x)

Find the slope AB

slope m is equal to


m=((y2-y1))/((x2-x1))


m=((6-3))/((4-1))


m=1

with the slope m and the point
A(1,3) find the equation of the line


y-y1=m(x-x1)


y-3=1*(x-1)


y=x-1+3


y=x+2


g(x)=x+2

Step
2

Find the y-intercept of f(x) and g(x)

we know that

the y-intercept is the value of the y-coordinate when the value of x is equal to zero


f(x)=4x-1

for
x=0


f(x)=4*0-1


f(x)=-1

the y-intercept of f(x) is equal to
-1


g(x)=x+2

for
x=0


g(x)=0+2


g(x)=2

the y-intercept of g(x) is equal to
2

therefore

the answer is the option

(B) The function g(x) has a higher y-intercept


User Farhan Syah
by
7.9k points
2 votes
f(x) = 4x-1, so the y-intercept is 4(0)-1 = -1
g(x) = x+2, so the y-intercept is (0)+2= 2
(B) The function g(x) has a higher y-intercept.
User Drawnonward
by
7.9k points

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