Use the graph of f (x) = below to find a number 8 such that |f (x) – 0.25| < 0.1 whenever 0 < |x – 4| < 8.

Q: Sketch the graph off. At each point of discontinuity, state whether f is left- or right-continuous.

A:

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: The given function is:.To Do: Determine the intervals on which the graphs of the function is concave…

Q: LET f(z) –1* and g(x) –1-2. DETERMINE oquations for both (fog(r) and (gof)(z).

A: Given:-              f(x) = x2               g(x) = x - 2

Q: Sketch the graph off. At each point of discontinuity, state whether f is left- or right-continuous.

A:

Q: A state's income tax for a single person in a recent year was determined by the rule below, where x…

A: The given function, hx=0.02x,if 0≤x&lt;6000120+0.03x-6000if 6000≤x&lt;10,000240+0.04x-10,000if…

Q: Consider the function ex - 4 f(x) = x2 - 1 and answer the following. (h) On what intervals is f…

A: f(x) = ex-4x2-1For finding increasing and decreasing intervals. f(x) is increasing, f'(x) &gt; 0f(x)…

Q: Make a graph of the function f(x) = x³ – x – 1. Use the graph to estimate a zero of the function…

A: According to the given information, it is required to first graph the given function.

Q: Consider the following function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

Q: B1(a): Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 6x – k x < 4 f(x) =…

A:

Q: Find the intervals on which f(x) = x(x + 3)(x – 1) is positive by plotting a graph. (Enter your…

A: Given - A function To Find - Interval for f(x)&gt;0

Q: Determine the intervals on which the function f(x)=e√x is convex upward and convex downward.

A: We find f"(x)

Q: Given the function f(x) = x4 – 8x³ + 18x², determine all intervals on which f is both increasing and…

A: Differentiate the function and equate with 0 and factorize the equation.…

Q: A snack company is preparing two mixtures of snacks from a supply of 110 pounds pretzels, 30 pounds…

A: Given that, A snack company is preparing two mixtures of snacks from a supply of 110 pound pretzels,…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.