Question 226·Easy·Nonlinear Functions

When you plug in $-1$ for $x$, write it in parentheses: $2(-1)^2-3(-1)+4$. Pay attention to the square on $-1$ and to the minus sign in front of $3x$.

First simplify $(-1)^2$, then do the multiplications, and only then add the three resulting numbers together.

In one expression line, type 2(-1)^2 - 3(-1) + 4 exactly as written. Let Desmos simplify the expression, and read off the final numeric value it displays; that is the value of $g(-1)$.

The function is defined as $g(x)=2x^2-3x+4$.

To find $g(-1)$, replace every $x$ with $-1$:

First, simplify $(-1)^2$:

• $(-1)^2 = 1$ because a negative times a negative is positive.

Now substitute that in:

Next, multiply:

• $2(1)=2$
• $-3(-1)=3$ (negative times negative is positive)

So we have:

Now add the three numbers:

• $2+3=5$
• $5+4=9$

So the value of the function at $x=-1$ is

This matches answer choice D.