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Kyle Icban

Using Models Use the model given to answer the questions about the object or process being modeled. The distance $d$ (in mi) driven by a car traveling at a speed of $v$ miles per hour for $t$ hours is given by $$d=v t$$ If the car is driven at 70 milh for 3.5 $\mathrm{h}$ , how far has it traveled?

00:50

Taylor Shimono

Making Models : Write an algebraic formula that models the given quantity. 14. The average $A$ of two numbers $a$ and $b$

00:55

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

00:57

Amy Jiang

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$ __________ legs.

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okay. In this example, we're being asked to evaluate the following if F of X is equal to three Expo seven. So in number one, we're being asked to find F before so f is referring to our f of X function on what they're telling us for is going to be our input. That's what we're going to substitute in place of X. So if we want to find F before, we're going to substitute four in place of X. So when we do that, we'll have three times four plus seven. So know this. We kept our rule. The only difference is we substituted for in place of acts. And now we just evaluate using the order of operations. So first we need to multiply three times four, which is 12. So we're left with 12 plus seven and 12 plus seven is 19. So what we found for this particular function that when four ISS substituted in place of acts that are y value or f of X, value is equal to 19? All right, let's take a look at number two. We're being asked to find f of negative, too. That means we want to find the value of our function when our input is negative. Two. So just like a number one, all we're gonna do is we're gonna substitute negative to in place of X. So we're gonna have three times negative, two plus seven. And now we just need to evaluate. So again, we're gonna multiply three times. Negative two, which is negative. Six and negative. Six plus seven is one. So what we found is the value of our function when X is negative, two is equal toe one. So hopefully the moral of the story is whatever value is inside your parentheses is what you're going to substitute in place of X. That's how you evaluate functions.

Graph Linear Functions

Write Linear Equations

Quadratic Functions

Polynomials

Introduction to Trigonometry

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