Answer:
f(x) = ax + b;
f(0) = -5;
a·0 + b = -5;
b = -5;
f(1) = -3;
a·1 + (-5) = -3;
a - 5 = -3;
a = 5 - 3;
a = 2;
f(x) = 2x - 5;
Step-by-step explanation:
The linear function with the values f(0)=−5 and f(1)=−3 is f(x) = 2x - 5
The linear function can be represented as follows:
y = mx + b
where
m = slope
b = y-intercept
The y-intercept is the value of y when x = 0
Since,
f(0) = -5
Therefore,
b = -5
The equation will be as follows
f(x) = mx - 5
lets find the slope(m) using the f(1)=−3
-3 = m - 5
m = -3 + 5
m = 2
Therefore,
f(x) = 2x - 5
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