F(x)= 3sin(2x) Can someone help me find these and explain how they did it. Will FAN and MEDAL! even/odd: symmetric about: x intercepts: y intercepts:

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In general, the sin function is an odd function. cos and sec are even and the other 4 trig functions are odd. The y-intercept is just found by plugging in x = 0. 3sin(2*0) = 3sin(0) = 0. So you get a y-intercept of (0,0) The x-intercepts are a bit trickier. We want to solve the equation 3sin(2x) = 0. To make this easier, we can divide by 3 and just solve sin(2x) = 0. To solve this, lets first consider the equation sinx = 0. Can you tell me the x values that make sinx = 0?

I thought to find the y intercept you had to replace the x with y

I'm not actually sure what doing that would give you. Replacing x with y sounds like what you would do for finding an inverse. But think of it this way: A y-intercept is a spot where you cross the y-axis and will always be when x = 0. Any y-intercept will look like (0,y). So to find a y-intercept in any equation, its always best to just replace x with 0 and solve.

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