Finding Increasing and Decreasing Intervals Graphically
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- Increasing and Decreasing Intervals Before we can learn how to find increasing and decreasing intervals graphically, we first have to understand what increasing and decreasing i…
By Anusha Rahman
- (Video) Determining Whether Intervals Are Increasing, Decreasing, Or Constant by Brian McLogan In this video by Brian McLogan, you'll learn how to determine whether intervals of…
By Anusha Rahman
- Finding Increasing and Decreasing Intervals Graphically When we look at a graph, we can see how a function changes as we move from left to right. A function is increasing when t…
By Anusha Rahman
Problems 23
- Select the attacks from Lex that Superman should counter (negate).
- Above is the graph of function f(x)=x3−4xf(x)=x^{3}-4xf(x)=x3−4x. On what interval is the graph increasing?
- Find all real numbers xxx such that ln(x5+1)≥ln(x5−1)\ln(x^5 + 1) \geq \ln(x^5 - 1)ln(x5+1)≥ln(x5−1).
- On the interval (0,2π),(0,2\pi),(0,2π), on which subinterval(s) is the function y=sin(x)y=\sin (x)y=sin(x) decreasing?
- Which of the following functions have both increasing and decreasing sections? Select all that apply.
- True or False\text{True or False}True or False === A local maximum could be a point at the top of a "hill" in a graph.
- True or False\text{True or False}True or False === A local maximum could be a point at the bottom of a "valley" in a graph.
- Which of the following functions are strictly increasing?
- Which of the following domain intervals of the following function are increasing? f(x)=2xcosxf(x)=2x\cos{x}f(x)=2xcosx
- Steve is running up the steepest hill in America, Canton Avenue, in Pittsburgh, Pennsylvania. Once he gets to the top he slides down the steep, snowy hill on a sled. The hill is…
- True or False\text{True or False}True or False === A function is decreasing if f(x1)>f(x2)f(x_1)>f(x_2)f(x1)>f(x2) for only some pairs of numbers x1x_1x1 and x2x_2x2 with x1…
- What can we do to change the graph of the function f(x)=(x−5)8f(x)=(x-5)^8f(x)=(x−5)8 to make it strictly decreasing?
- Jonny is riding a rollercoaster that looks exactly like the picture above. The rollercoaster is going 100100100mph. Jonny throws his hands up and feels the wind in his face, but…
- Which of the following functions would transform f(x)=x3f(x)=x^3f(x)=x3 from an increasing function to a decreasing function?
- What values of aaa would make the following function strictly decreasing? f(x)=ax3−32f(x)= ax^3-32f(x)=ax3−32
- Which of the following functions would be increasing on the domain (−∞,0)(-\infty,0)(−∞,0) and decreasing on the domain (0,∞)(0,\infty)(0,∞)?
- Which of the following functions would be increasing on the domain (−∞,−2](-\infty,-2](−∞,−2] and [0,∞)[0,\infty)[0,∞) and decreasing on the domain (−2,0)(-2,0)(−2,0)?
- Which of the following intervals are increasing on the graph?
- True or False\text{True or False}True or False === If the functions fff and ggg are increasing on the interval (∞,0](\infty, 0](∞,0], then the function f+gf+gf+g will be increas…
- Which of the following are functions f(x)f(x)f(x) and g(x)g(x)g(x) such that they are increasing on the interval [1,∞)[1, \infty)[1,∞) and f(x)−g(x)f(x)-g(x)f(x)−g(x) is increas…
- True or False\text{True or False}True or False === If f(x)f(x)f(x) and g(x)g(x)g(x) are two increasing functions on the interval (−∞,∞)(-\infty, \infty)(−∞,∞), then (f⋅g)(x)(f\c…
- While on top of a building, Amelia throws a bouncy ball upward. The ball lands back on the roof of the same building. The building she's is standing on is 303030 feet off the gr…
- Which of the parts of the function graphed above are decreasing?