Question
8) points Given f(r)2x + 1.0hCompute 47 f(r)
8) points Given f(r) 2x + 1. 0h Compute 47 f(r)
Answers
Consider the points $(7,2)$ and $(-4,1) .$ If we let $x_{1}=7,$ then what is $y_{2} ?$
We need to evaluate the following. So we're first going to label are points. This one's X one, Y one X two, Y 2. So we replace why two is negative four. We have minus why one is four. And on the bottom of part of our fraction we have to minus negative three. So the top becomes negative eight, the bottom becomes five, and so our fraction is negative 8/5.
We have a number 30 and this we need to find all the points of the farm. X comma minus one and Okay. Expected -1 which are four units from 0.3 comma to basically we need to find distance formula and find D. So D is X -3 whole square place -1 -2 Whole Square. And the road. and this distance is given as four. So four will be equal to X -3 Whole Square. Less than nine, squaring both sides will be getting 16 equal to x minus three whole square plus nine. Subtract nine from both the sides. Seven will be equal to x minus three whole square. Or other way around This could Britain has X -3 squared equal to seven. It means X -3 Will be able to plus 907. X will be three plus minus 107. So there are two points 3 0 7, comma minus win and three Place and out 7:00 -1. This should be the answer. Thank you.
To evaluate this function of two variables at the top Here. We want to replace exes and wise, and so it's just like a normal function, except we have multiple substitution. So the first one would replace that export to plus and then replacing the why, with two as well multiplied by the two, which is them Cube. So then the right side here to cube is eight times to 16 plus the two in the front, and therefore this point evaluates to 16 plus 2 18 and then the next point. Substitute one negative one for X plus. Why? Which is four bonds negative. One cube negative. One cube is still negative one. So this is negative one minus four, which evaluates to negative five. So that's the idea with functions of several variables, and it extends to functions of three variables and four and so on.
The equation were given is why squared equals eight X. Based on the structure of this equation, we know that the graph must look something like a sideways parable like this. And the point we're given is too common, negative four. So say right here and using symmetry to find another point on this graph. We know that the X axis is a line of symmetry. So if we simply just go right across, then we know that another point on this craft would simply be to come before