Question

Please help! Need answered! Please and thank you.

Answer 1

Answer: (a) 5

Step-by-step explanation:

$\lim_{x \to 2} 5$ means what is the y-value when x = 2 .

The given equation is: y = 5 so the y-value is 5 for all values of x

Answer: (c) 13

Step-by-step explanation:

f(x) = x² + 5x

f'(x) = 2x + 5

f'(4) = 2(4) + 5

      = 8 + 5

      = 13

Answer: (c) 2

Step-by-step explanation:

The question is asking what the y-value is when x = -2.  The graph shows that the coordinate (-2, 2) is on the curve. So, when x = -2, y = 2.

Answer 2

Answer:

lim x→2   5     =5

The slope is 13

lim x→-2   x^2 -2  =2

Step-by-step explanation:

lim x→2   5     =5

The limit of a constant is the constant

f(x) = x^2 +5x

We need to take the derivative

f'(x) = 2x+5

Then evaluate the derivative at x=4  (4,36)

f'(4) = 2*4 +5

     = 8+5

    = 13

The slope is 13

lim x→-2   x^2 -2  =2

Looking at the graph, the value of the function at -2  is about 2

We can also calculate it   (-2)^2 -2 =  4-2 = 2