Answer:
When x = 0, the value of f(x) is -3
Each time x increases by 1, f(x) increases by 2
f(x) = 2x - 3
Step-by-step explanation:
✔️From the graph given, values of x is plotted in the horizontal axis while values of f(x) is plotted on the vertical axis.
Thus:
When x = 0, the value of f(x) is -3. => (0, -3)
✔️Each time x increases by 1, f(x) increases by 2. i.e. when x increases from 3 to 4 on the y axis, f(x) increases from 3 to 5 on the why axis.
✔️The equation that models the function can he written in the form of f(x) = ax + b, where:
a = rate of change = rise/run
b = y-intercept = the point on the y-axis that the line intercepts.
Rate of change between the two points on the line (0, -3) and (4, 5):
Rate of change (a) = rise/run = (5 - (-3))/(4 - 0) = 8/4
a = 2
b = y-intercept = -3
✅To write the equation, substitute a = 2 and b = -3 into f(x) = ax + b:
f(x) = 2x + (-3)
f(x) = 2x - 3
