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Course: Calculus

Assignment / Exercises on Function

PART 2 - EVALUATING THE VALUE OF FUNCTION PART 1 FIND THE DOMAIN A - POLYNOMIAL - C 1. DETERMINE TYPES NATIONAL OF FUNCTION 2. ANY LIMITATION C OF THE INPUT FOR DENDMINATDR CANNOT BE 0 THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING THE INPUT 1. MAKE SURE THE VALUE TO BE INSERTED IN THE FUNCTION MUST BE IN THE DOMAIN NO NEGA11VE VALUE inside the radi-nd 2. REPLACE ALL THE VARIABLES IN THE FUNCTION WITH THE VALUE GIVEN 3. SIMPLIFIED OR SOLVE THE ANSWER Find the domain for the given f(x) by choosing the correct types of function and the limitation. Question 1: f(x) = 3x3 + 3x2 + 6x 1. DETERMINE TYPES OF FUNCTION B ND NEGA'HVE VALUE 2. ANY LIMITATION OF THE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING THE INPUT Find the domain for the given f (x) by choosing the B A correct types of function and the limitation. POLYNOMIAL RADICANT OF EVEN ROOTS C D STEPS TO FIND RATIONAL RATIONAL AND THE DOMAIN Question 2: f(x) = V7 - 14x RADICANT C A 1. DETERMINE TYPES NO RESTRICTION DENOMINATOR OF FUNCTION CANNOT BE O B D DENOMINATOR CANNOT BE NO NEGATIVE VALUE ZERO AND NO NEGATIVE 2. ANY LIMITATION inside the radicand VALUE OF THE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING THE INPUTFind the domain for the given f(x) by choosing the correct types of function and the limitation. 3 . x +5x+3 Question 3: f(x) = m 1. DETERMINE TYPES OF FUNCTION N0 NEGA'HVE VALUE 2. ANY LIMITATION OFTHE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING THE INPUT Find the domain for the given f(x) by choosing the correct types of function and the limitation. A 15x2+3x10 1051: Question 4: f (x) : C 1. DETERMINE TYPES DENOMINATOR 0F FUNCTION B N0 N EGA'I1VE VALUE inside the ladiand 2. ANY LIMITATION OF THE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING THE INPUT STEPS TO FIND THE B 7 A DOMAIN (for limitation on Question 5 : f (x) = - POLYNOMIAL RADICANT OF Quadratic Equations) x2-4x-5 EVEN ROOTS D x2 -4x - 5+ 0 C RATIONAL AND 1. DETERMINE TYPES OF FUNCTION Rational RATIONAL RADICANT ( x - 5) ( x +1 ) +0 C 2. ANY LIMITATION OF Denominator + 0 A DENOMINATOR THE INPUT FOR THE NO RESTRICTION FUNCTION X+5 x * - 1 CANNOT BE O 3. WRITE THE EQUATION B D FOR SOLVING 1. Denominator cannot be 0 INEQUALITY OF THE NO NEGATIVE VALUE DENOMINATOR CANNOT BE ZERO AND NO NEGATIVE INPUT inside the radicand 2. Factorize the Equation (you can VALUE use calculator) 3. Solve the value 4. Solution for the domain7 x2 +9x10 Question 6: f(x) : 1. DETERMINE TYPES OF FUNCTION 2. ANY LIMITATION OF THE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING INEQUALITY OF THE B MD NEGATIVE VALUE inside the radi-nd 1. Denominator cannot be 0 INPUT 2. Factorize the Equation [you can use calculator} 3. Solve the value 4. Solution for the domain STEPS TO FIND THE DOMAIN (for limitation on Question 7 : g(x) = Vx2 - 8x + 7 Quadratic Equations) 1. DETERMINE TYPES OF FUNCTION 2. ANY LIMITATION OF THE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION FOR SOLVING 1. Equation in the radical must be INEQUALITY OF THE equal and larger than 0 INPUT 2. Factorize the Equation (you can use calculator) 3. Find the solutionSTEPS TO FIND THE DOMAIN (for limitation on 3 Question 8 : g(x) = - Quadratic Equations) Vx2 -8x+7 1. DETERMINE TYPES OF FUNCTION 2. ANY LIMITATION OF THE INPUT FOR THE FUNCTION 3. WRITE THE EQUATION 1. Equation in the radical must be FOR SOLVING INEQUALITY OF THE equal and larger than 0 4. Solution for the domain INPUT 2. Factorize the Equation (you can use calculator) 3. Find the interval for the inequality satisfyPART 2 EVALUATING THE VALUE OF FUNCTION GIVEN THE FOLLOWING x) 2 x2 + 3 906) : Vx + 5 FUNCTION 1. MAKE SURETHE - . . . . VALUETO BE FInd f(4) FInd g(0) FInd h(10) FInd k(3) FInd f(x + h) INSERTED IN THE FUNCTION MUST BE IN THE DOMAIN 2. REPLACE ALL THE VARIABLES IN THE FUNCTION WITH THE VALUE GIVEN 3. SIMPLIFIED OR SOLVE THE