6.7k views
5 votes
A function, f(x), passes through the point (0,2). Another function is represented by the equation g(x)=x^2−2x−3. What is the y-intercept of g(x) and which function has the greater y-intercept

User Daniel Apt
by
7.5k points

1 Answer

4 votes

Answer:

  • The y-intercept of function f(x) is 2.
  • The y-intercept of function g(x) is -3.

Therefore, we conclude that function f(x) has a greater y-intercept.

Explanation:

The y-intercept of any function can be determined by checking the value of y at x = 0.

Important Tip

  • A point where the graph meets the y-axis — y-intercept.

Determining the y-intercept of the function f(x)

Given the function f(x) passes through the point (0,2).

It means at x = 0, the value of y = 2

Thus, the y-intercept of function f(x) is 2.

Determining the y-intercept of the function g(x)

Given the function g(x)


g\left(x\right)=x^2-2x-3

substitute x = 0 in the function equation


g\left(0\right)=\left(0\right)^2-2\left(0\right)-3


g\left(0\right)=0-0-3


g\left(0\right)=-3

It means at x = 0, the value of y = -3

Thus, the y-intercept of function g(x) is -3.

Conclusion:

  • The y-intercept of function f(x) is 2.
  • The y-intercept of function g(x) is -3.

As 2 > -3

Therefore, we conclude that function f(x) has a greater y-intercept.

User Thernys
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories