Math Exam 3

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according to the video, what is the reason why we have been studying one-to-one functions so far in this section?

because every one-to-one function has an "inverse" function

Which of the following basic functions is equivalent to the piecewise-defined function?

f(x)=|x|

which of the following statements is not true?

"it is not possible" for a piece-wise

Identify the collection of three functions that are all even

"y=-3", y=x^2, and y=|x|

which of the following statements is true about the quadratic function f(x)=ax^2+bx+c?

a not ever equal to zero

which of the following statements is not true about revenue business model?

a revenue function can never be defined as a function

which of the following statements about projectile motion is not true?

an object thrown or shot vertically where t is the "k-coordinate"

which of the following statements most commonly describes the relationship between the quantity x of a product and price p?

as the quantity x increases, the price p tends to decrease

which of the following statements is not true about the characteristics of the graph of f(x)=ax^2+bx+c?

but never just one intercept

the shape of a graph of the polynomial function near the x-intercepts can be determined by

examining the multiplicity of the real zeros

which of the following statements is not true?

if a function f has an inverse function

which of the following statements is not true?

if f has an inverse function, then f-1(x)=1/f(x)

if f and g are inverse functions of one another, then which of the following is not necessarily true?

if f(1)=-b, then g(b)=-1.

which of the following is not true about the shape of a power function of the form f(x)=ax^n?

if n is odd, the shape of the graph resembles a "parabola"

for a quadratic function f(x)=ax^2+bx+c, what is not true about the domain, range, and the intercepts of the function?

one endpoint of the range

given the graph of a one-to-one function, -f, which of the following best describes how to sketch f-1?

reflect the graph of f about the line "y=x" to obtain the graph of f-1.

for the polynomial function y=f(x) below, choose the statements that most accurately describe the function

statements II, IV, and V

which of the following statements is not true about the polynomial function f(x)=an^x^n?

the numbers are positive real numbers

which is not true about the profit business model?

the revenue is always more than the cost

the right-hand behavior of the graph of a polynomial function of the form f(x)=anx^n.. can be determined by?

the sign of the leading coefficient an.

given the graph of the quadratic function with the vertex and the y-intercept clearly identified, which of the following statements is not true?

the value of b


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