91Ó°ÊÓ

What is the leading term of \(f(x)=-0.6 x^{2}(10 x+1)^{3}(x-1)^{4} ?\)

Find the constant of variation \(k\). The value of \(y\) equals 4 when \(x=10\). Find \(y\) when \(x=5\) if a. \(y\) varies directly as \(x\). b. \(y\) varies inversely as \(x\).

Determine the vertical asymptotes of the graph of the function. $$ f(x)=\frac{8}{x-4} $$

a. State whether the graph of the parabola b. Determine the vertex of the parabola. opens upward or downward. c. Determine the \(x\) -intercept(s). d. Determine the \(y\) -intercept. e. Sketch the graph. f. Determine the axis of symmetry. g. Determine the minimum or maximum h. State the domain and range. (See Example 3\()\) value of the function. $$ g(x)=-x^{2}+2 x-4 $$

Find the constant of variation \(k\). The value of \(y\) equals 24 when \(x\) is \(\frac{1}{2}\). Find \(y\) when \(x=3\) if a. \(y\) varies directly as \(x\). b. \(y\) varies inversely as \(x\).

If the leading term of a polynomial function is \(a x^{n}\), where \(a\) is negative and \(n\) is odd, determine the end behavior.

a. State whether the graph of the parabola b. Determine the vertex of the parabola. opens upward or downward. c. Determine the \(x\) -intercept(s). d. Determine the \(y\) -intercept. e. Sketch the graph. f. Determine the axis of symmetry. g. Determine the minimum or maximum h. State the domain and range. (See Example 3\()\) value of the function. $$ h(x)=-x^{2}-6 x-10 $$

Determine the vertical asymptotes of the graph of the function. $$ g(x)=\frac{2}{x+7} $$

a. State whether the graph of the parabola b. Determine the vertex of the parabola. opens upward or downward. c. Determine the \(x\) -intercept(s). d. Determine the \(y\) -intercept. e. Sketch the graph. f. Determine the axis of symmetry. g. Determine the minimum or maximum h. State the domain and range. (See Example 3\()\) value of the function. $$ f(x)=5 x^{2}-15 x+3 $$

Determine the end behavior of the graph of the function. \(f(x)=-3 x^{4}-5 x^{2}+2 x-6\)