evaluate the function $f(x)=-2x^{2}-3x + 5$ for the input value $-3$.\n-22\n-4\n2\n32

evaluate the function $f(x)=-2x^{2}-3x + 5$ for the input value $-3$.\n-22\n-4\n2\n32

evaluate the function $f(x)=-2x^{2}-3x + 5$ for the input value $-3$.\n-22\n-4\n2\n32

Answer

Explanation:

Step1: Substitute x value

Substitute $x = - 3$ into $f(x)=-2x^{2}-3x + 5$. So we get $f(-3)=-2\times(-3)^{2}-3\times(-3)+5$.

Step2: Calculate the power

First calculate $(-3)^{2}=9$. Then the expression becomes $f(-3)=-2\times9-3\times(-3)+5$.

Step3: Do multiplications

Calculate $-2\times9=-18$ and $-3\times(-3) = 9$. So $f(-3)=-18 + 9+5$.

Step4: Do additions and subtractions

$-18+9=-9$, and $-9 + 5=-4$.

Answer:

B. -4