Consider the following.f(x)=74 – x2Find the x-values at which f is not continuous. Which of the discontinuities are removable?
1 answer:
Answer
given,
f(x) = 74 - x²
A function is continuous when it is differential at all the points.
so, the given function is continuous for all the value of x.
We should know that if a function is quadratic then it is differential at all the point. And if it is differential then it is definitely continuous.
Hence, there is no discontinuous point present in the equation.
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graph each inequality y-3x<-4
First we solve the inequality for y
Add 3x on both sides, so inequality becomes
y < 3x -4
Now we graph it
for graphing , replace < symbol with = sign
y= 3x - 4
Now make a table, assume some number for x and find out y
x y
-1 y=3(-1)-4 = -7
0 y=3(0)-4 = -4
1 y=3(1)-4 = -1
Now plot (-1,-7), (0,-4) ,(1,-1) on graph
Join all the points and make a dotted line ( dotted line for < or > symbol)
now we do shading
for < symbol we shade down
for > symbol we shade up
The graph is attached below
