The graph of an increasing function would go up. How do you know if a function is an increasing function? One way would be to look at the graph of the function. If the graph goes up when looking from left to right, then it is an increasing function. Another way is to see if the...
【题目】Sketch th e graph o f an increasing function f(x) such that both$$ f ^ { \prim e } ( x ) a n d A ( x ) = \int _ { 0 } ^ { x } f ( t ) d t a r e d e c r e a s i n g $$ 相关知识点: ...
Consider the following graph of a function {eq}f {/eq} defined over {eq}\left[ { - 5,5} \right] {/eq}. Find the interval where the function is increasing. Increasing Intervals: Functions with one independent variable are increasing, when the ...
Sketch the graph of a decreasing functionfsuch that bothf′(x)andA(x)=∫0xf(t)dtare increasing. Area Function: Suppose the functionf(x)is continuous and non-negative on the closed interval[a,b].Forx≥a,we can hen define a functionA(x)that ...
If a function has more than one, we say it has local maxima. Similarly, a value of the input where a function changes from decreasing to increasing as the input variable increases is called a local minimum. The plural form is “local minima.” Together, local...
Properties of the exponential functionIf y = abx, a > 0 b > 0, the exponential graph has the following properties: The graph is increasing Domain and range The domain is all real numbers or (-∞, ∞) The range is all positive real numbers (0, ∞)...
This question is testing your ability to visualize a simple function and analyze its tangents. The first step is to visualize the function. If you make the observation that f(x)=√ [3]x is the inverse of the function g(x)=x^3, then the graph is just the graph of g(x) flipped...
A. A curve increasing from left to right B. A curve decreasing from left to right C. A straight line with positive slope D. A straight line with negative slope 相关知识点: 试题来源: 解析 B。对于函数 f(x) = 2^(-x) ,因为底数 2 大于 1 ,-x 使得函数单调递减,所以图像是一条从左...
Some people think the increasing business and cultural contact between countries brings many positive effects. Others say it causes the loss of national identities. Discuss both of these views and give your own opinion. Give reasons for your answer and include any relevant examples from your own ...
The following is the graph of the derivative function,f′(x)of a differentiable functionfdefined on the interval(0,11). At what intervals isfincreasing? Increasing function: If the graph of derivative is compulsorily more...