For what values of the constants \(a\) and \(b\) does the function \(f(x)=\ln a+bx^2-\ln x\) have ... \(f\) has a local but not absolute maximum at: \(f\) has a local but not absolute minimum at: ...

establish graphs for linear and quadratic inequalities, and even plot graphs for various kinds of functions like modulus, absolute values ... also the natural log (ln) function, so you can ...

Absolute value is a mathematical concept often used in conjunction with a number line or graph to represent the relative value from zero (modulus). To illustrate this idea in a different way ...

How are they different? By The Learning Network A new collection of graphs, maps and charts organized by topic and type from our “What’s Going On in This Graph?” feature. By The Learning ...

For example, this graph shows the inequality \(x \textless -1\). This can be seen as there is a dashed line at \(x = -1\), and the region where the \(x\) coordinates are less than -1 is shaded.

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...

I haven't always loved abs exercises. My old routine of post-run crunches and planks was not it. Lately, I've found more motivating moves (hi, practicing pilates everyday and a kettlebell abs ...

Musk's decisions around Twitter, and especially his rebranding of this site, have left many loyal Twitter-X users confused and mystified about what Twitter is now and what it is to be in the future.

A top-down 2D arcade shooter with power-ups. Near Dark is one of the best vampire movies of all time, but it’s near-impossible to find it on streaming services We hate to see Juliet go, but here ...

Have you been paying attention to current events recently? See how many of these 10 questions you can get right. Compiled by Michael Gonchar and Jeremy Engle Check out 47 outfits from students ...

the X plank is brilliant at developing posture by targeting your entire body, including the transversus abdominis (deeper ...

Prove that \(\ds \left( -\ln 2,\frac{4}{9}\right)\) is the only inflection point. Find the intervals on which \(f\) is concave up and those on which \(f\) is concave down. Sketch the graph of \(y=f(x) ...