Draw the Graph for following function over the indicated interval.

$$h(x)=x\left(2^x\right) ;[-5,0]$$

$$n(x)=-0.15 x^2-0.90 x+3.3$$

first, write each function in vertex form; then find each of the following (to two decimal places): (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range

find the equation of the following horizontal asymptote.

$$f(x)=\frac{x^2+x^4+1}{x^3+2 x-4}$$

Graph the function over the indicated interval.

$$y=3^x ;[-3,3]$$

Determine the domain and range of the function.

$$f(x)=3+\sqrt{x}$$

Write the problem in equivalent exponential form.

$$\log _e 1=0$$

Find the vertex form of the quadratic function by completing the square.

$$f(x)=x^2-12 x-8$$

solve the problem and use point-by-point plotting to sketch the graph of the equation.

$$y=x^2$$

Given $f(x)=x^3(x+5)$ polynomial function finds the following: (A) Degree of the polynomial (B) All x-intercepts (C) The y-intercept

find the equation of the following horizontal asymptote.

$$f(x)=\frac{x^2+6 x+1}{x-5}$$

$$f(x)=-0.12 x^2+0.96 x+1.2$$

first, write each function in vertex form; then find each of the following (to two decimal places): (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range

$$m(x)=0.20 x^2-1.6 x-1$$

first, write each function in vertex form; then find each of the following (to two decimal places): (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range

find the equation of the following horizontal asymptote.

$$f(x)=\frac{3+5 x}{x^2+x+3}$$

Solve the Problem for $x$ to four decimal places.

$$35=7\left(3^x\right)$$