Transformation: Given the function f(x) = 4x3 - 2x + 7, find each of the following....

Transformation: Given the function f(x) = 4x³ - 2x + 7, find each of the following. Then discuss how each expression differs from the other.

a) f(x) + 2

b) f (x + 2)

c) f(x) + f (2)

Unit 6 DQ Follow-up #1: Variation

Unit 6 DQ Follow-up # 1 question: If y varies directly as , explain why doubling x would not cause y to be doubled as well.

Unit 6 DQ Follow-up #2: Variation

Unit 6 DQ1 Follow-up #2 Question: If y varies directly as x and x varies inversely as z, how does y vary with regard to z? Why?

Solutions

Expert Solution

Given function is:

(a) , we get it by shifting f(x) by 2 units in upward direction.

(b) , we get it by shifting f(x) by 2 unit in left direction.

(c)

In this we are adding f(x) and value of function at x = 2

milcah answered 1 year ago

Next > < Previous

Related Solutions

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)=...

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)= f(-7)=

Analyze the function given by f(x) = (2x − x^2 )e^x . That is: find all...

Analyze the function given by f(x) = (2x − x^2 )e^x . That is: find all x- and y-intercepts; find and classify all critical points; find all inflection points; determine the concavity; find any horizontal or vertical asymptotes. Finally, use this information to graph the function.

Consider the following function. f(x) = x^2 − 49 / x − 7 Find each value....

Consider the following function. f(x) = x^2 − 49 / x − 7 Find each value. (If an answer does not exist, enter DNE.) f(−7) = _____ lim x→−7 f(x) = _______ Determine whether the function is continuous or discontinuous at x = −7. Examine the three conditions in the definition of continuity.

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range. f(x) = 2x − 2

For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range.f(x) = 2x − 2

For the following exercises, determine whether or not the given function f is continuous everywhere....f(x) = 2x + 5/x

For the following exercises, determine whether or not the given function f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.f(x) = 2x + 5/x

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

Find all of the real and imaginary zeros for the polynomial function. f(x)= 69 x^4-2x^3+62x^2-2x-7

Given the following rational function: F(X) = (2X^2 - 20) / [( X - 5 )^2]...

Given the following rational function: F(X) = (2X^2 - 20) / [( X - 5 )^2] Find all horizontal and vertical asymptotes Find the first derivative of F(X) and simplify Find the critical values for X and determine if they are at a maximum or minimum, using the First Derivative Sign Test. Find the Second Derivative and Use it to confirm your answers to part c. You may keep the 2nd derivative in “rough” form and simply substitute in the...

For each of the following, find the linear to linear function f(x) satisfying the given requirements....

For each of the following, find the linear to linear function f(x) satisfying the given requirements. (a) f(0) = 0, f(10) = 15, f(20) = 20 (b) f(0) = 15, f(5) = 6, f(20) = 5 (c) f(10) = 8, f(30) = 12,and the graph of f(x) has y = 20 as its horizontal asymptote

Subjects