Example Question - table of values
Here are examples of questions we've helped users solve.
Interpreting Algebraic Expressions from a Blurry Image
Lamentablemente, la imagen proporcionada es un poco borrosa y no puedo discernir todos los detalles con claridad. No obstante, parece ser una tabla de valores relacionados con expresiones algebraicas. Si me proporcionas la información o la expresión específica que necesitas evaluar de esta tabla, estaré encantado de ayudarte a resolverla. Por favor, facilita la instrucción o la pregunta asociada con la imagen para que pueda asistirte adecuadamente.
Determining Interval for Local Maximum of a Function
The question asks us to find on which interval the function f is guaranteed to attain a local maximum, based on the selected values of its first derivative f'(x) given in the table. A local maximum occurs where the derivative changes from positive to negative. Looking at the table of values for f'(x), we see: - f'(0) = -1, meaning the derivative is negative just before x=0. - f'(1) = 2, meaning the derivative is positive at x=1. - f'(2) = -3, meaning the derivative is negative at x=2. - f'(3) = 0, meaning the derivative is zero at x=3. - f'(4) = 5, meaning the derivative is positive at x=4. From these values, we notice that f'(x) goes from positive at x=1 to negative at x=2. This indicates that there is a local maximum somewhere between x=1 and x=2, as per the first derivative test which says that if the derivative changes from positive to negative at some point, then this point is a local maximum. Therefore, the correct interval on which f is guaranteed to attain a local maximum is: (B) (1,2)
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com