AP PRECALCULUS UNIT 1A LATEST EXAM QUESTIONS AND SOLUTIONS -
VERIFIED ANSWERS 2026
Let f be a continuous function.
What can we say about the graph of f on the open interval (a, b) if the rate of
change of f is growing on the open interval?
F is curved upward.
Let f be a continuous function.
What can we say about the f graph on the open interval (a, b) if the rate of
change of f is falling at that interval?
F is curved downward.
Let f be a continuous function.
Next, f(b)-f(a) divided by b-a yields the average rate of change of f on the
closed interval [a,b].
Let f be a function that is continuous.
What kind of function is f if its rate of change is constant?
A linear function is f.
Let f be a function that is continuous.
What kind of function is f if its average rate of change continues to be constant?
A quadratic function is f.
Let f be a function that is continuous.
, What can we say about x=a if f(a)=0?
With respect to the graph of f, x=a is zero.
Let f be a function that is continuous.
What can we say about x-a if x=a is a zero for the graph of f?
A factor of f is x-a.
Let f be a function that is continuous.
Where on the plane does the zero occur, and what are its coordinates, if x=a is a
zero for the graph of f?
The coordinates of the zero, which is located on the x-axis, are (a, 0).
Consider the polynomial function f.
What degree does f have?
The greatest power of x
Consider the polynomial function f.
Which term is the leading one for f?
The phrase with the largest power of x
Consider the polynomial function f.
Which leading coefficient does f have?
The leading term's coefficient, which is the word with the largest power of x
Consider the polynomial function f.
What can we say about the final behavior of f if its degree is even and its
leading coefficient is positive?
As x gets closer to negative infinity, y gets closer to positive infinity.
As x gets closer to positive infinity, y gets closer to positive infinity.
VERIFIED ANSWERS 2026
Let f be a continuous function.
What can we say about the graph of f on the open interval (a, b) if the rate of
change of f is growing on the open interval?
F is curved upward.
Let f be a continuous function.
What can we say about the f graph on the open interval (a, b) if the rate of
change of f is falling at that interval?
F is curved downward.
Let f be a continuous function.
Next, f(b)-f(a) divided by b-a yields the average rate of change of f on the
closed interval [a,b].
Let f be a function that is continuous.
What kind of function is f if its rate of change is constant?
A linear function is f.
Let f be a function that is continuous.
What kind of function is f if its average rate of change continues to be constant?
A quadratic function is f.
Let f be a function that is continuous.
, What can we say about x=a if f(a)=0?
With respect to the graph of f, x=a is zero.
Let f be a function that is continuous.
What can we say about x-a if x=a is a zero for the graph of f?
A factor of f is x-a.
Let f be a function that is continuous.
Where on the plane does the zero occur, and what are its coordinates, if x=a is a
zero for the graph of f?
The coordinates of the zero, which is located on the x-axis, are (a, 0).
Consider the polynomial function f.
What degree does f have?
The greatest power of x
Consider the polynomial function f.
Which term is the leading one for f?
The phrase with the largest power of x
Consider the polynomial function f.
Which leading coefficient does f have?
The leading term's coefficient, which is the word with the largest power of x
Consider the polynomial function f.
What can we say about the final behavior of f if its degree is even and its
leading coefficient is positive?
As x gets closer to negative infinity, y gets closer to positive infinity.
As x gets closer to positive infinity, y gets closer to positive infinity.
