91Ó°ÊÓ

Evaluate the function for the given value of \(x .\) (See Examples \(5-6)\) \(f(x)=x^{2}+3 x \quad g(x)=\frac{1}{x} \quad h(x)=5 \quad k(x)=\sqrt{x+1}\) a. \(k(-2)\) b. \(k(-1)\) c. \(k(0)\) d. \(k(1)\) e. \(k(3)\)

Determine if the function is even, odd, or neither. $$ q(x)=\sqrt{16+x^{2}} $$

Evaluate the function for the given value of \(x .\) (See Examples \(5-6)\) \(f(x)=x^{2}+3 x \quad g(x)=\frac{1}{x} \quad h(x)=5 \quad k(x)=\sqrt{x+1}\) $$g(3)$$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form with no fractional coefficients. Passes through (6,-4) and is perpendicular to the line defined by \(x-5 y=1\).

Write the equation in standard form: \((x-h)^{2}+(y-k)^{2}=r^{2}\). Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples \(3-4)\) $$ x^{2}+y^{2}-20 y-4=0 $$

Evaluate the function for the given value of \(x .\) (See Examples \(5-6)\) \(f(x)=x^{2}+3 x \quad g(x)=\frac{1}{x} \quad h(x)=5 \quad k(x)=\sqrt{x+1}\) $$h(-7)$$

Determine if the function is even, odd, or neither. $$ z(x)=\sqrt{49+x^{2}} $$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form with no fractional coefficients. Passes through (5,4) and is perpendicular to the line defined by \(x-2 y=7\) .

Write the equation in standard form: \((x-h)^{2}+(y-k)^{2}=r^{2}\). Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples \(3-4)\) $$ x^{2}+y^{2}+22 x-4=0 $$

Determine if the function is even, odd, or neither. $$ h(x)=5 x $$