1.The slope of horizontal tangent lines is undefined. 2.The tangent line to the line f(x)=2x+3 at any point on f is the line itself. 3.The tangent line to g(x)=3x2−12x+1 at the point (2,−11) is vertical.
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Tell whether each statement is true or false. If the statement is true, write TRUE; otherwise, write FALSE and change the underlined word to make the statement true.
1.The slope of horizontal tangent lines is undefined.
2.The tangent line to the line f(x)=2x+3 at any point on f is the line itself.
3.The tangent line to g(x)=3x2−12x+1 at the point (2,−11) is vertical.
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