Graph and identify the \(x\)-intercept, \(y\)-intercept, and slope: \[2x+y=6\]

Graph and identify the \(x\)-intercept, \(y\)-intercept, and slope: \[y=-2x-3\]

Graph and identify the \(x\)-intercept, \(y\)-intercept, and slope: \[y=\frac{3}{2}x+4\]

Graph and identify the \(x\)-intercept, \(y\)-intercept, and slope: \[x=-2\]

Give the equation of the line through \((-1,\,3)\) that has a slope \(m=2\).

Give the equation of the line through \((3,-2)\) and \((4,-1)\).

Line \(l\) contains the point \((5,-3)\) and has a graph parallel to the graph of \(2x-5y=10\). Find the equation for \(l\).

Line \(l\) contains the point \((-1,-2)\) and has a graph perpendicular to the graph of \(y=3x-1\). Find the equation for \(l\).

Give the equation of the vertical line through \((4,-7)\).

Graph: \[3x-4y<12\]

Graph: \[y\leq -x+2\]

State the domain and range. Indicate whether the relation is a function: \[\left\{(-2,0),(-3,0),(-2,1)\right\}\]

State the domain and range. Indicate whether the relation is a function: \[y=x^2-9\]

Let \(f(x)=x-2\), \(g(x)=3x+4\) and \(h(x)=3x^2-2x-8\). Find: \(f(3)+g(2)\)

Let \(f(x)=x-2\), \(g(x)=3x+4\) and \(h(x)=3x^2-2x-8\). Find: \(h(0)+g(0)\)

Let \(f(x)=x-2\), \(g(x)=3x+4\) and \(h(x)=3x^2-2x-8\). Find: \((f\circ g)(2)\)

Let \(f(x)=x-2\), \(g(x)=3x+4\) and \(h(x)=3x^2-2x-8\). Find: \((g\circ f)(2)\)

Find an equation for the blue line on the graph.

Graph \(y=\lvert x \rvert\) and \(y=\lvert x \rvert -4\)

Mini Lecture
Graph.

1. \(4x+5y=20\)

2. \(y=3x-2\)

3. \(y=-\displaystyle\frac{2}{3}+1\)

Mini Lecture
Are these functions?

1. \(\{(7,-1), (3,-1), (7,4)\}\)

2. \(\{(4,1), (1,4), (-1,-4)\}\)

A balloon has the shape of a sphere with a radius of \(3\) inches. Use \(V(r)=\displaystyle\frac{4}{3}\pi r^3\) and \(S(r)=4\pi r^2\) to find the volume and the surface area.

Mini Lecture
Let \(f(x)=2x-1\) and \(g(x)=x^2-4\) find

Mini Lecture
Let \(f(x)=2x^2-8\), find:

1. \(f(0)\)

2. \(f(-3)\)

3. \(f(a)\)

4. \(f(a-3)\)

5. Graph \(f(x)=x^2\) and find \(f(1)\), \(f(2)\), and \(f(3)\).

Mini Lecture
Let \(f(x)=2x-1\) and \(g(x)=x^2-4\) find

1. Find \(x\) if \(f(x)=0\)

2. Find \(x\) if \(g(x)=0\)

3. Find \(x\) if \(f(x)=g(x)\)

Let \(f(x)=2x-4\), \(g(x)=\dfrac{2}{x}\), and \(h(x)=x^2-4\). Find \((f+h)(x)\), \((f\cdot g)(x)\), and \(\left(\dfrac{f}{g}\right)(x)\).

If \(f(x)=x+7\), \(g(x)=\dfrac{1}{x}\), find \((f\circ g)(x)\) and \((g\circ f)(x)\)

Mini Lecture
Let \(f(x)=2x-1\) and \(g(x)=x^2-4\) find

1. Find \(x\) if \(f(x)=0\)

2. Find \(x\) if \(g(x)=0\)

3. Find \(x\) if \(f(x)=g(x)\)

Mini Lecture

If \(f(x) = 3x - 5\), \(g(x) = x - 2\), and \(h(x) = 3x^2 - 11x + 10\) find:

\(1\). \((f + g)(x)\) \(2\). \(\frac{h}{g}(x)\) \(3\). \((fg)(3)\)

If \(f(x) = x^2 + 3x\) and \(g(x) = 4x - 1\), find:

\(4\). \((f \circ g)(0)\) \(5\). \((g \circ f)(0)\)

\(6\). \((f \circ g)(x)\) \(7\). \((g \circ f)(x)\)

From the chart shown in the text, find the slope of the line connecting the first point \((1981, 10.75)\) with the last point \((2011, 80)\). Explain the significance of the result.

Let \(f(x)=x^2-3x\). Find the average rate of change of \(f(x)\) on the interval \([1,3]\).

Mini Lecture
Find the slope through the given points.

1. \((3,\, 1)\) and \((5,\, 4)\)

2. \((-3,\, 2)\) and \((3,\, -2)\)

3. Find the slope of the line with an \(x\)-intercept of \(4\) and a \(y\)-intercept of \(2\).

4. Find \(a\) if the line through \((5,\, a)\) and \((4,\, 2)\) has a slope of \(3\).

5. Find \(y\) if the line through \((2,\, y^2)\) and \((1,\, y)\) is \(\bot\) to a line with slope \(-\dfrac{1}{6}\).

Mini Lecture

1. Find the equation of the line with the slope \(m=\frac{3}{2}\) and \(y\)-intercept \(b=-1\).

2. Find the slope and \(y\)-intercept for \(4x-5y=20\).

3. Find the equation of the line through \((-2,-5)\) with slope \(m=2\).

Mini Lecture
Graph.

1. \(2x-3<6\)

2. \(y\geq x-5\)

3. \(y<2\)