Slope need help

Question

Slope of f(x)= 4x²-28

please explain clearly need help. Thank you.

Answer 1

Student, perhaps you meant to ask for the DERIVATIVE of 4x² - 28? Or perhaps the slope of the tangent line at some point (x₁,f(x₁))?

f'(x) = 8x

Slope of tangent line at some point (x₁,f(x₁)) is

m = 8x₁

Answer 2

When finding the slope of a linear equation: y = mx + b, the slope is m

Ex. y = 2x + 5 has a slope m = 2

The equation y = 4x²-28 is a quadratic (squared) function. A quadratic function's slope changes all along the curve. At the vertex the slope = 0.

Answer: A quadratic function's slope changes all along the curve.