Question

write a linear function that satisfies the given conditions. f(0)=4, f(1)=7 and h(0)=13, h(3)=1

Answer 1

Question: Write a linear function that satisfies the given conditions.

$$f(0)=4, f(1)=7 \quad \text{and} \quad h(0)=13, h(3)=1.$$

Answer.

$$f(0)=4, f(1)=7$$ $$f(x)=kx+b$$ $$\left\{ \begin{array}{l} 4 = 0 + b \\ 7 = k + b \end{array} \right.$$ $$k = 3, b = 4$$ $$f(x) = 3x + 4$$ $$h(0)=13, h(3)=1$$ $$h(x)=kx+b$$ $$\left\{ \begin{array}{l} 13 = 0 + b \\ 1 = 3k + b \end{array} \right.$$ $$k = -4, b = 13$$ $$h(x) = -4x + 13$$