9. What value is the function approaching when the function is getting closer to x = 0? Explain

Q: Is the function even, odd, or neither?

A: From the graph of the given function, it is observed that the graph is symmetric about origin. Or it…

Q: Write a function rule for "The output is three less than the input x ." y=ロ

A: The given information contains two variables x and y in which we have to devise the equation in…

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: Move the sliderk so that the graph of y = 2" gets shifted up 3 units. Then type the new function,…

A: We have to slide the k such that graph shifted 3 unit up.

Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and…

A: Let x be the number of stalks she plants and y be the amount of beans, each plant yields. Consider…

Q: Determine whether the relation represents y as a function of x.     x^2 + y^2 = 25   How would I…

A: Given: x2+y2=25 We can write, y2=25-x2⇒y=±25-x2

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: For the function: f(z) = – 5z² + 6, %3D f(z) – f(a) Preview

A: Given f(x) = -5x2+6 then f(a) = -5a2+6

Q: Identify the point of diminishing returns for the input-output function. R is the revenue and x is…

A: The given revenue function is R(x)=-12x3-4x-7  where 0≤x≤2 We know that the point of diminishing…

Q: 1. Consider the shaded area below the graph of the function y = x² + 1, above the x-axis and between…

A: We will use Riemann sum to find area under curve y=f(x) in the interval x∈a,b Area ≈Δxfx0…

Q: 6. Indicate verbally how the graph of each function relates to the graph of one of the six basic…

A: Definitions:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: