Chapter 4.3, Problem 51AYU

(a)

To determine

The vertex and the axis of symmetry of the quadratic function $f\left(x\right)=2x^2-x+2$ and to check whether the graph of f is concave up or concave down.

(b)

To determine

The x-intercept and the y-intercept of the quadratic function $f\left(x\right)=2x^2-x+2$.

(c)

To determine

To sketch: The quadratic function $f\left(x\right)=2x^2-x+2$.

(d)

To determine

The domain and the range of the function $f\left(x\right)=2x^2-x+2$.

(e)

To determine

The intervals where the function $f\left(x\right)=2x^2-x+2$ is increasing and decreasing.

(f)

To determine

The intervals where the function $f\left(x\right)>0$ and $f\left(x\right)<0$.