91Ó°ÊÓ

Graph each function with a graphing utility using the given window. Then state the domain and range of the function. $$f(x)=3 x^{4}-10 ; \quad[-2,2] \times[-10,15]$$

Graph of a linear function Find and graph the linear function that passes through the points \((1,3)\) and \((2,5)\).

Sketch a graph of a function that is one-to-one on the interval \((-\infty, 0]\) but is not one-to-one on \((-\infty, \infty)\)

Graph each function with a graphing utility using the given window. Then state the domain and range of the function. $$g(y)=\frac{y+1}{(y+2)(y-3)} ; \quad[-4,6] \times[-3,3]$$

Sketch a graph of a function that is one-to-one on the intervals \((-\infty,-2],\) and \([-2, \infty)\) but is not one-to-one on \((-\infty, \infty)\)

Graph of a linear function Find and graph the linear function that passes through the points \((2,-3)\) and \((5,0)\).

State the domain and range of \(\sec ^{-1} x.\) , \(\\{x:|x| \geq 1\\}\)

Use analytical and/or graphical methods to determine the largest possible sets of points on which the following functions have an inverse.erated integral as an iterated integral with the indicated order of integration. $$f(x)=3 x+4$$

Graph each function with a graphing utility using the given window. Then state the domain and range of the function. $$f(x)=\sqrt{4-x^{2}} ; \quad[-4,4] \times[-4,4]$$

Evaluating trigonometric functions Evaluate the following expressions using a unit circle. Use a calculator to check your work. All angles are in radians. $$\cos (2 \pi / 3)$$