Table:
y = x²
can also be written as: f(x) = x²
Plug in each x value and calculate the output:
f(-4) = (-4)² = 16
f(-3) = (-3)² = 9
f(-2) = 4
f(-1) = 1
f(-
) = 
f(0) = 0
f() =
f(1) = 1
f(2) = 4
f(3) = 9
f(4) = 16
Answers:
a) graph shown in picture
b) vertex is at (0, 0)
B= 60
To find b you must do the pythagorean theorem because it is a right triangle
65^2 - 25^2=b^2
3600=b^2
60=b
x= 18
To find x you must know that a triangle is made up of 180 degrees.
x= 180-(72+90)
x=180-162
x=18
hope this helped :)
The answer would be x = -7.
Hope this helps!
9) We need to find the limit as x approaches 2 of f(x) - g(x).
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.
Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.
![\lim_{x \to 2} [f(x) - g(x)] = \lim_{x \to 2}[\frac{3x + 2}{4} - x^{2} + 3]](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%202%7D%20%5Bf%28x%29%20-%20g%28x%29%5D%20%3D%20%5Clim_%7Bx%20%5Cto%202%7D%5B%5Cfrac%7B3x%20%2B%202%7D%7B4%7D%20-%20x%5E%7B2%7D%20%2B%203%5D)
Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.
