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

f(x) = 4x − 1

chart:
x g(x)
1 3
4 6
7 9

answer choices:
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

It can be determined about their y-intercepts that b. The function g(x) has a higher y-intercept.

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates

General formula

or

y = mx + c

Where

m = straight-line gradient which is the slope of the line

x1, y1 = the Cartesian coordinate that is crossed by the line

c = constant

The formula for a gradient (m) between 2 points in a line

m = Δy / Δx

To find the equation of the line which has the point of intersection with the highest line of y then we enter the value of x in the equation = 0, so we know which value of y is greater

In the problem there is one known line equation (f (x)) and one line equation known for the value of x and its function (g (x))

For equation f (x) the value of the intersection with the y axis is: (x = 0)

f (x) = 4x - 1 (f (x) = y)

y = 4x - 1

y = 4.0 - 1

y = -1

For equation g (x), we first look for the equation by finding the gradient first

we specify the points: (4, 6) and (7, 9)

then the price gradient (m)

m = 3/3

m = 1

We enter in the general equation with point (4,6)

y-6 = 1 (x-4)

y-6 = x-4

y = x + 2

y = g (x) = x + 2

We enter the value x = 0 to get the value of the intersection with the y axis:

y = x + 2

y = 2

These two results show that: b. The function g (x) has a higher y-intercept.

F (x) = x2 + 1 g (x) = 5 - x

htps: //link

the inverse of the function f (x) = 2x-10

link

domain of the function

link

Keywords: function, y-intercept.

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate