When \(x=−1\) trace where the function lands on along the vertical y axis. In this case \(f(−1)=3\)

Question

asked 2021-03-05

Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point.
\(f '(x)=5(2x − 1)^{4}, (1, 9)\)

asked 2020-11-06

Find an example of a point (x,y) on the graph of f(x)=2cos(x) where the tangent line has a slope of exactly 1.

asked 2020-12-15

[Graph]

asked 2021-01-06

Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point.
\(\displaystyle{f} '{\left({x}\right)}={5}{\left({2}{x}−{1}\right)}^{{{4}}},{\left({1},{9}\right)}\)

asked 2021-02-09

asked 2021-02-21

[Graph]
The graph is a translation of the graph of f(x) = 2x². Write the function for the graph in vertex form.

asked 2021-02-21

Find \(\displaystyle\lim{x}→{a}{f{{\left({x}\right)}}}\) from the given graph.

asked 2020-11-24

Given that point (x, y) is on the graph of y = 4 - x², express the distance from (3, 4) to (x, y) as a function of x.

asked 2021-01-05

Sketch one cycle of each sine curve. Assume a > 0. Write an equation for each graph. amplitude = 2 period = \((pi/2)\)

asked 2021-01-31

Show that the inverse of any linear function \(f(x)=mx+b\), where \(m\neq 0\), is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.