Find the values of {eq}k {/eq} so that the function {eq}f(x) = \left\{\begin{matrix} 2k^2x + 1 & x \gt 1 \\ k- 2 & x \lt 1 \end{matrix}\right. {/eq} is continuous. Piecewise Function: A piecewise function is a ...
Find the exponential function f(x) = Ca^x whose graph is given below: f(x) = ___. Exponential Functions: Exponential functions are functions wherein the independent variable is an exponent of some other value (which can be either a constant or its own variable). Typically,...
Find the condition onaandbso that the function will be continuous. Continuity: In order to make a piecewise function continuous, we need to ensure that the pieces in and of themselves are continuous, and also that we ...
Thus, the piecewise function is:y={xif x<24−xif x≥2 Step 2: Analyze the second curve y=3|x|This function is also piecewise:- For x>0: y=3x- For x<0: y=−3x Step 3: Find the intersection points of the curves For x>0:Set x=3x (from y=x and y=3x):x2=3⟹x=...
The functioncan be expressed in piecewise form: - Forx>0:f(x)=x2 - Forx=0:f(x)=0 - Forx<0:f(x)=−x2 Step 2: Determine the range off - Forx∈(0,1),f(x)ranges from0to1. - Forx=0,f(0)=0. - Forx∈(−1,0),f(x)ranges from−1to0. ...
The following examples are based on this graph of a piecewise function which has a jump at x = 1: Example question 1: What is the limit of f(x) as x approaches 2? Solution:“f(x)” is the function value at 2 (a.k.a. the y-value). We want to know what’s happening to the...
A piecewise function is a function that has multiple pieces, each with their own restrictions. The domain of a function is the set of input, or x, values for which the function is defined. There are two methods to determine the domain of a piecewise function. The first is to look at ...
Solution Share Answered by Advanced math expert Step 1 Find the exponential Fourier transform of the given piecewise function f(x) Explanation: First write it in its periodi...View the full answer Step 2 Unlock Answer UnlockPrevious question Next questionNot...
If there is no such premise, the derivative of the piecewise function can be equal 1, the main test site 1, function in wiping a little guide. Is his absolute value function derivable at this point? Solution: remember that the derivative of the absolute value of a function is equal to ...
Inventory problemsPWLPiecewise linear functionexamples/opl/sailco sailco.mod sailcopw.mod Knapsack problemsIP CPLEX priorities External knapsack algorithm examples/opl/knapsack knapsack.mod knapsackp.mod javaknapsack.mod Miscellaneous examplesIPint-to-float and float-to-int conversion of variablesexamples/...