Answer:
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
Step-by-step explanation:
x : 0 2 4
f(x) : 1 4 7
The table x , f(x) represents a linear function
The linear function has the form y = mx + c
where m is the slope and c is y-intercept
m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5
y-intercept is the value of y at which x = 0
From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1
∴ f(x) = 1.5x + 1
And given g(x) = 2x + 1
We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
So, y-intercept of f(x) = y-intercept of g(x) = 1
And The slope of g(x) is greater than The slope of f(x)
