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3 years ago

HELP ASAP

Mathematics

1 answer:

Ksivusya [100]3 years ago

3 0

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

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