Mathematics, 13.01.2021 01:50, dacey9300

Given a function , evaluate

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answered: janaiartia

$\huge\boxed{f(-1) = -7}$

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.

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

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? -1^4 = -1 (according to my calculator), and $3 \cdot -1 = -3$ , 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 -2^2 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 -1^4 . However, since we're substituting in -1, it looks like (-1)^4 , so the expression reads out as "-1 to the fourth."

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, 3(-1)^4 :

$3(-1\cdot-1\cdot-1\cdot-1)$ 3(1)

Therefore, our first term is 3.

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

Second term: -5x^2

Applying the same logic from our first term:

$-5(-1 \cdot -1)$ -5(1)

Third term:

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

Combining our terms, we have 3-5-2-3 .

This comes out to be -7, hence, the value of f(-1) for our function f(x)=3x^4-5x^2+2x-3 is -7.

Hope this helped!

answered: keaganaplin

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

answered: Guest

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

answered: Guest

a) 7x=7

step-by-step explanation:

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