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MEDIUM
SUBJECT

Analyzing Functions Calculus Maths Problems and Solutions

Many students find Analyzing Functions for Calculus particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Analyzing Functions from for Calculus preparation.

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Question
Level
Action
Complete the table using the function $$f(x)=2(x+2)+4x$$ ![](http://admin.getprephub.com/media/edito......
Level 1
Which table represents $$y$$ as a function of $$x$$ ? ......
Level 1
The equations of two functions are given. $$f(x)=3 x+4$$ $$g(x)=7 {x}-2$$ What value of $$x$$ ma......
Level 1
Let $$g(x)=2^{x}$$.Can we use the mean value theorem to say the equation $$g^{\prime}(x)=16$$ has a ......
Level 1
Let $${f}({x})=\frac{1}{2} x^{4}-4 x^{3}$$, For what values of $${x}$$ does the graph of $${f}$$ ha......
Level 2
Let $${f}({x})=\frac{x+1}{x-3}$$, Where does $${f}$$ have critical points? ......
Level 2
Let $$g$$ be a polynomial function and let $$g^{\prime}$$, its derivative, be defined as $$g^{\prime......
Level 2
Let $${g}({x})=x^{3}-12 x+7$$,The absolute maximum value of g over the closed interval $$[-4,5]$$ ? ......
Level 2
Let $$f$$ be a twice differentiable function, and let $$f(-3)=-4, f^{\prime}(-3)=0$$ and $$f^{\prim......
Level 2
Let $$h$$ be a twice differentiable function, and let $$h(8)=5, h^{\prime}(8)=0$$ and $$h^{\prime \......
Level 2
Let $${f}({x})=2 x^{3}-9 x^{2}+12$$, Where does $${f}$$ have critical points? ......
Level 2
Let $${f}({x})=x \sqrt{4-x}$$, for $${x}<3$$. Where does $${f}$$ have critical points? ......
Level 2
The table gives selected values of the continuous function $$g$$. ![](http://admin.getprephub.com/m......
Level 2
The table gives selected values of the differentiable function $${h}$$. ![](http://admin.getprephub......
Level 2
Let $$h(x)=2 x^{4}+6 x^{3}-12 x^{2}+8$$. On which intervals is the graph of $$h$$ concave up? ......
Level 3
Let $${f}({x})=3 x^{4}+4 x^{3}-12 x^{2}+5$$. What is the absolute minimum value of $${f}$$ ? ......
Level 3
$$\text { Let } h{x})=x^5+x^4 \text {, For what value of f(x) does h have a relative maximum ? }$$......
Level 3
The function $${f}$$ is defined as $$f({x})=2 {x}+3$$. What is the $${x}$$-coordinate of the point o......
Level 3
In a restaurant, the daily menu is mounted on wallboard. The printed region with today's entrees inc......
Level 3
Consider the function $${f}({x})=9-x^{2}$$ for $$f(x) \geq 0$$ only. The shaded region is an isosce......
Level 3