3 years ago

Find the equation of the straight line which passes through (3,5) and makes y-inter-intercept.

Mathematics

1 answer:

elixir [45]3 years ago

6 0

Answer:

Please restate your question.

It needs the y-intercept to be decipherable.

Step-by-step explanation:

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F(x) = x^2-3<br> What is the average rate of change on the interval [-5, 2] ?

Mumz [18]

Answer:

$(-3)$ .

Step-by-step explanation:

Over this interval, the change in the value of this function is:

$f(-5) - f(2) = 22 - 1 = 21$ .

The corresponding change in the value of $x$ :

$(-5) - 2 = -7$ .

The average rate of change of function $f$ over this interval is equal to the change in the function value divided by the corresponding change in $x$ :

$\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}$ .