Graphs of the functions f and g are given. a) Which is larger, f(0) or g(0)?

tugmiddelc0

tugmiddelc0

Answered question

2021-11-17

Graphs of the functions f and g are given.
a) Which is larger, f(0) or g(0)?
b) Which is larger, f(-3) or g(-3)?
c) For which values of x is f(x)=g(x)?

Answer & Explanation

Gladys Fasching

Gladys Fasching

Beginner2021-11-18Added 11 answers

A single variable function can be defined as a relation between the function variable and the function value which varies with the function variable. And if the function has one unique value for each value of x, it is called a one to one function
Step 2
a) f(0) and g(0) implies the value of the function y when the value of x is zero. From the graph at x=0, the value of the function f(x) is 3 and the value of g(x) is around 0.5. Therefore at x=0,f(x)>g(x)
b) As in the above question f(-3) and g(-3) implies the value of the function y, when the value of x is -3. From the graph of the functions, the value of f(x) at x=3 is -1 and the value of g(x) at x=3 is 2. Therefore g(-3) is greater than f(-3)
c) The point where f(x)=g(x) is the point where the graphs of the two functions intersects. From the graph, the two functions intersects at the points x=2,2. Therefore for x=2 and 2, f(x) will be equal to g(x).

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