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Piecewise-Defined Functions

### Write each expression without using absolute value symbols. $$|0|$$

Piecewise-Defined Functions

### An absolute value function with a vertex of (4,14) is negative on the interval $$\displaystyle{\left(−\infty,−{2}\right)}$$. On what other interval is the function negative?

Piecewise-Defined Functions

### Find the absolute maximum and absolute minimum values of f on the given interval. $$\displaystyle{f{{\left({x}\right)}}}={5}+{54}{x}-{2}{x}^{{3}},{x}\in{\left[{0},{4}\right]}$$

Piecewise-Defined Functions

### Rewrite expression without absolute value bars. $$\displaystyle{\left|{\sqrt{{5}}-{13}}\right|}$$

Piecewise-Defined Functions

### Given the piecewise function below, select all of the statements that are true. $$f(x)= \left\{-x + 1, x < 0\right\} \left\{-2, x = 0\right\} \left\{x^{2} -1, x > 0\right\}$$ A. $$f(4)=7$$ B. $$f(-1)=2$$ C. $$f(1)=0$$ D. $$f(-2)=0$$

Piecewise-Defined Functions

### Write properties absolute value.

Piecewise-Defined Functions

### Rewrite the expression without using the absolute value symbol. $$\displaystyle{\left|{{3}{x}-{5}}\right|}$$ if $$\displaystyle{x}\ge\frac{{5}}{{3}}$$

Piecewise-Defined Functions

### Find the absolute maximum and absolute minimum values of function on the given interval. $$\displaystyle{f{{\left({x}\right)}}}={5}+{54}{x}-{2}{x}^{{3}},{\left[{0},{4}\right]}$$

Piecewise-Defined Functions

### Solve. Absolute value of 2x+4 is greater than 6

Piecewise-Defined Functions

### Need to calculate:The value of G(0) for the function $$G(x)=\begin{cases}x-5\ \ if\ x \leq -1\\x\ if\ \succ 1 \end{cases}$$

Piecewise-Defined Functions

### Could you explain how to solve the given type of problem. (c)Absolute value equation: $$|2x-5|=7$$

Piecewise-Defined Functions

### Solve absolute value inequality. $$\displaystyle{\left|{2}{\left({x}-{1}\right)}+{4}\right|}\leq{8}$$

Piecewise-Defined Functions

### The function $$\displaystyle{f{{\left({x}\right)}}}={4}-{7}{x}^{{4}}$$ has an absolute maximum value of ? and this occurs at x equals ?

Piecewise-Defined Functions

### For each of the piecewise-defined functions, determine whether or not the function is one-to-one, and if it is, determine its inverse function. $$\displaystyle{f{{\left({x}\right)}}}={\left\lbrace\begin{array}{cc} {x}&{w}{h}{e}{n}{x}{<}{0}\\{2}{x}&{w}{h}{e}{n}{x}\ge{0}\end{array}\right.}$$

Piecewise-Defined Functions

### Find the absolute value of the following: (b)$$|0|$$

Piecewise-Defined Functions

### Solve the absolute value inequality. $$\displaystyle{8}{<}{\left|{7}-{3}{x}\right|}$$

Piecewise-Defined Functions

### Express the interval in terms of an inequality involving absolute value. (0,4)

Piecewise-Defined Functions

### Express each of the following pairs of signed numbers as absolute values and subtract the smaller absolute value from the larger absolute value. f.-33,7,-29.7

Piecewise-Defined Functions