Determine whether (a) through (c) are true, and give an explanation or counterexample. a. For linear functions, the slope of any secant line always equals the slope of any tangent line. b. The slope of the secant line passing through the points P and Q is less than the slope of the tangent line at P. c. Consider the graph of the parabola f(x)=x2². For x>0 and h>0, the secant line through (x.f(x)) and (x+h,f(x+h)) always has a greater slope than the tangent line at (x,f(x)). a. Choose the correct answer below. OA. The statement is true. On a linear function, the slope of a secant line through points (x, f(x)), and

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Your Question:
Determine whether (a) through (c) are true, and give an explanation or counterexample.
a. For linear functions, the slope of any secant line always equals the slope of any tangent line.
b. The slope of the secant line passing through the points P and Q is less than the slope of the tangent
line at P.
c. Consider the graph of the parabola f(x)=x2². For x>0 and h>0, the secant line through (x.f(x)) and
(x+h,f(x+h)) always has a greater slope than the tangent line at (x,f(x)).
a. Choose the correct answer below.
OA. The statement is true. On a linear function, the slope of a secant line through points (x, f(x)), and
Transcribed Image Text:Determine whether (a) through (c) are true, and give an explanation or counterexample. a. For linear functions, the slope of any secant line always equals the slope of any tangent line. b. The slope of the secant line passing through the points P and Q is less than the slope of the tangent line at P. c. Consider the graph of the parabola f(x)=x2². For x>0 and h>0, the secant line through (x.f(x)) and (x+h,f(x+h)) always has a greater slope than the tangent line at (x,f(x)). a. Choose the correct answer below. OA. The statement is true. On a linear function, the slope of a secant line through points (x, f(x)), and
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