Question

Determinar o conjunto imagem da função f(x) = - 5x2 + 2x – 1.

Answer 1

• $\underbrace{\small{f(x)=-5x^{2}+2x-1}}$

▶️ Coeficientes

• $\small{a=-5}$

• $\small{b=+2}$

• $\small{c=-1}$

*

• $\small{\Delta=b^{2}-4.a.c}$

• $\small{\Delta=(2)^{2}-4.(-5).(-1)}$

• $\small{\Delta=4-20}$

• $\small{\Delta=-16}$

*

• $\small{yv=-\dfrac{\Delta}{4a}}$

• $\small{-\dfrac{(-16)}{4.(1)}}$

• $\small{\dfrac{16}{4}}$

• $\small{4}$

▶️Conjunto imagem: {y e IR /y≤ 4}