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

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

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

CThey both have the same y-intercept.

DThe relationship between y-intercepts cannot be determined.

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 funct class=

Verified Answer :

diene

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.

calculista

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

\(m=\frac{(y2-y1)}{(x2-x1)}\)

\(m=\frac{(6-3)}{(4-1)}\)

\(m=1\)

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


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