10.2/10.3 Practice - Families of Functions - Inequality Nota

Which equation matches the graph?

• $f\left(x\right)=\left(x-4\right)^2-1$

• $f\left(x\right)=\left(x+4\right)^3-1$

• $f\left(x\right)=^3\sqrt{x-4}$

• $f\left(x\right)=4x-1$

What is the domain of the function?

• $\left(-\infty,\infty\right)$ all real numbers

• $x\ge-4$

• $x\ge0$

• $x\ge-1$

What is the range of the function?

• $\left(-\infty,\infty\right)$ all real numbers

• $y\ge0$

• $y\ge-1$

• $y\le4$

Which equation matches the graph?

• $f\left(x\right)=\left(x+2\right)^2+5$

• $f\left(x\right)=\left(x-2\right)^3+5$

• $f\left(x\right)=\sqrt{x-2}+5$

• $f\left(x\right)=^3\sqrt{x-2}+5$

What is the domain of the function?

• $x\ge0$

• $x\ge3$

• $\left(-\infty,\infty\right)$ all real numbers

• $x\ge5$

What is the range of the function?

•  $y\ge0$ 

•  $y\ge4$ 

• $\left(-\infty,\infty\right)$ all real numbers

•  $y\ge5$ 

What is the equation of the graph?

• $f\left(x\right)=x^2-3$

• $f\left(x\right)=2\sqrt{x+3}$

• $f\left(x\right)=\sqrt{x-3}$

• $f\left(x\right)=2\left(x+3\right)^3$

What is the domain of the function?

• $x\le2$

• $\left(-\infty,\infty\right)$ all real numbers

• $x\ge0$

• $x\ge-3$

What is the range of the function?

•  $y\le2$ 

• $\left[-\infty,\infty\right)$ all real numbers

•  $y\ge0$ 

•  $y\ge-3$ 

Which equation matches the graph?

• $f\left(x\right)=x^2-7$

• $f\left(x\right)=x^3-7$

• $f\left(x\right)=\sqrt{x-7}$

• $f\left(x\right)=\left(x+7\right)^2$