Given a function , evaluate

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

WAIT! How is this possible? (according to my calculator), and , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than  being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like . However, since we're substituting in -1, it looks like , so the expression reads out as "-1 to the fourth."

MULTIPLYING -1 by itself 4 times results in .

Applying this logic to our original term, :

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term:

Applying the same logic from our first term:

Third term:

-3 is just -3, no influence of x.

Combining our terms, we have .

This comes out to be -7, hence, the value of for our function is -7.

Hope this helped!

f(-1) = -7

Step-by-step explanation:

f(x) = 3x^4 - 5x^2 +2x -3

Let x = -1

f(-1) = 3 ( -1)^4 - 5(-1)^2 +2(-1) -3

Using the order of operations, do exponents first

f(-1) = 3 ( 1) - 5(1) +2(-1) -3

Then multiply

f(-1) = 3  - 5 -2 -3

Then add and subtract

f(-1) = -7

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole

step-by-step explanation: