MTH101 Quiz 1 by Iqra Azhar

A function f(x) = x / |x| is continous at x=1 or not it is not continuous at x=1.

The instantaneous velocity of any object can be represented geometrically by_________

the slope of the tangent line

Point slope form of the tangent line is y-3=6(x-3)then its standard slope-intercept form is y=6x−15

If the function f and g are continuous at c then f/g is continuous at c if g(x) is not equal to zero and is discontinuous at c if

G(x) is equal to zero

Is the function f(x)=2(x−3) continuous at x = 3? If not, why?

f is not defined at x = 3 f is continuous at x = 3 : f is continuous at x = 3.

The function f(x) = |x| has no derivative at x = 0 because there is a _______________ at that point. corner or cusp

If f(x) approaches to L as x approaches to a from left and right, then f(x) is in the interval (a−ϵ,a+ϵ), whereϵ is a small positive number.