Test 3 Dual Enrollment Pre Cal Multiple Choice

Which of the following statements is not true about the revenue business​ model? A. A revenue function can never be defined as a function of the price p. B. The revenue function can be represented by R(x)=xp, where x is the quantity sold and p is the price. C. ​Ideally, the graph of a simple revenue function should have a maximum value. D. When the demand equation is​ linear, it can represented by p=mx+b, where x is the quantity sold and p is the price.

A. A revenue function can never be defined as a function of the price p.

Which of the following statements about projectile motion is not​ true? A. An object thrown or shot vertically into the air reaches a maximum height after t seconds​ (when time is measured in​ seconds), where t is the​ k-coordinate of the vertex of the parabola. B. The acceleration of gravity on earth is approximately 9.8 meters per second per second. C. An object thrown or shot vertically into the air reaches a maximum height after t seconds​ (when time is measured in​ seconds), where t is the​ h-coordinate of the vertex of the parabola. D. The acceleration of gravity on earth is approximately 32 feet per second per second.

A. An object thrown or shot vertically into the air reaches a maximum height after t seconds​ (when time is measured in​ seconds), where t is the​ k-coordinate of the vertex of the parabola.

According to the video what is the reason we have been studying one-to-one functions so far in this section? A. Because every​ one-to-one function has an inverse function. B. Because every​ one-to-one function is a​ piece-wise defined function. C. Because every​ one-to-one function has an infinite range. D. Because every​ one-to-one function has a finite domain.

A. Because every one-to-one function has an inverse function.

Which of the following is not true? A. It is possible for a piecewise defined function to have more than one y-intercept depending on how the function is defined. B. Given the graph of a piecewise-defined function, it is sometimes possible to find a rule that describes the graph. C. The domain of a piecewise-defined function can be (-infinity, infinity) D. The range of a piecewise-defined function can be (-infinity, infinity)

A. It is possible for a piecewise defined function to have more than one y-intercept depending on how the function is defined.

Which of the following statements most commonly describes the relationship between the quantity x of a product and the price​ p? A. As the quantity x​ decreases, the price p tends to stay constant. B. As the quantity x​ increases, the price p tends to decrease. C. As the quantity x​ increases, the price p tends to increase. D. As the quantity x​ decreases, the price p tends to decrease.

B. As the quantity x​ increases, the price p tends to decrease.

Which of the following statements is not true? A. A function f is​ one-to-one if for any two range values​ f(u) and​ f(v), f(u)= f(v) implies that u=v. B. Every function that passes the vertical line test is​ one-to-one. C. Every function that passes the horizontal line test is​ one-to-one. D. A function f is​ one-to-one if for any values a not equals b in the domain of​ f, f(a) not equals f(b).

B. Every function that passe the VLT is one-to-one.

Which of the following statements is not true? A. To verify that two​ one-to-one functions, f and​ g, are inverses of each​ other, we must show that (f of g)(x)=(g of f)(x)=x. B. If a function f has an inverse​ function, then we can find the inverse function by replacing​ f(x) with​ y, interchanging the variables x and​ y, and solving for x. C. The function f^-1 exists if and only if the function f is one-to-one. D. The graph of f^-1 is a reflection of the graph of f about the line y=x.

B. If a function f has an inverse​ function, then we can find the inverse function by replacing​ f(x) with​ y, interchanging the variables x and​ y, and solving for x.

Given the graph of a quadratic function with the vertex and the​ y-intercept clearly​ identified, which of the following statements is not ​true? A. The value of c in f(x)=ax^2 + bx + c can easily be determined because it represents the​ y-intercept of the graph. B. The value of b in f(x)=ax^2 + bx + c can easily be determined from the shape of the graph. C. The values of h and k in f(x)=a(x-h)^2+ k can easily be determined because these values represent the x and y coordinates of the vertex respectively. D. The sign of the value of a in f(x)=ax^2 + bx + c​, or equivalently f(x)=a(x-h)^2+ k​, can easily be determined from the shape of the graph.

B. The value of b in f(x)=ax^2 + bx + c can easily be determined from the shape of the graph.

Which of the following statements is not true about the polynomial function f(x)=anx^n........+a0​? A. The number n represents the degree of the polynomial and is a​ non-negative integer. B. The numbers an, an-1, an-2,...a1, and a0 are positive real numbers. C. The number an is called the leading coefficient. D. The number a0 is called the constant coefficient.

B. The numbers an, an-1, an-2,...a1, and a0 are positive real numbers.

Which of the following statements is not true about the profit business​ model? A. The profit function can be represented by P(x)=R(x)-C(x). B. The revenue is always more than the cost. C. If a product costs​ $A to produce and has fixed costs of​ $B, then the cost function can be represented by C(x)=Ax+B. D. ​Ideally, the cost will be less than the revenue.

B. The revenue is always more than the cost.

Which of the following statements is not true? A. If f and f^-1 are inverse​ functions, then the domain of f is the same as the range of f^-1. B. Every​ one-to-one function has an inverse function. C. If f has an inverse​ function, then f^-1(x)=1/f(x). D. If f and f^-1 are inverse functions and f(a)=b, then f^-1 (b)=a.

C. If f has an inverse​ function, then f^-1(x)=1/f(x).

Which of the following is not true about the shape of a power function of the form f(x)=ax^n? A. If a is positive and n is​ odd, the graph approaches negative infinity on the left side and positive infinity on the right side. B. If a is positive and n is​ even, the graph approaches positive infinity on the left side and positive infinity on the right side. C. If n is​ odd, the shape of the graph resembles a parabola. D. If n=1, the graph is a straight line.

C. 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, the​ range, and the intercepts of the​ function? A. The​ x-intercept(s) will be the real zeros of the function. B. The domain will always be (-infinity, infinity). C. One endpoint of the range will always be the​ h-coordinate of the vertex. D. The range will never be (-infinity, infinity).

C. One endpoint of the range will always be the​ h-coordinate of the vertex.

Which of the following statements is not true about the characteristics of the graph of f(x)=ax^2 + bx + c? A. The axis of symmetry has the form x equals h where h is the​ x-coordinate of the vertex. B. The graph of f(x)=ax^2 + bx + c can never have more than one​ y-intercept. C. The graph of f(x)=ax^2 + bx + c can have either no​ x-intercepts or two​ x-intercepts but never just one​ x-intercept. D. Since the standard form of the quadratic function is f(x)=a(x-h)^2 + k​, the vertex is always found at the point left parenthesis (h,k) .

C. The graph of f(x)=ax^2 + bx + c can have either no​ x-intercepts or two​ x-intercepts but never just one​ x-intercept.

The​ right-hand behavior of the graph of a polynomial function of the form f(x)=anx^n........+a0​ can be determined by A. the sign of the constant coefficient a0. B. the degree n of the polynomial function. C. the sign of the leading coefficient an. D. the number of terms in the polynomial function.

C. the sign of the leading coefficient an.

If f and g are inverse functions of one another, then which of the following is not necessarily true? A. (f of g)(x)=x B. (g of f)(x)=x C. If f(-a)=b, then g(b)=-a. D. If f(1)=-b, then g(b)=-1.

D. If f(1)=-b, then g(b)=-1.

Which of the following statements is true about the quadratic function f(x)=ax^2 + bx + c? A. The constant c determines whether the graph opens up or down. B. The constants a​, b​, and c cannot ever be fractions. C. The constants a​, b​, and c must be real numbers with a always positive. D. The constants a​, b​, and c must be real numbers with a not ever equal to zero.

D. The constants a, b, and c must be real numbers with a not ever equal to zero.

The shape of the graph of a polynomial function near the x​-intercepts can be determined by A. examining whether the​ x-intercepts are even or odd. B. examining the sign of the real zeros. C. examining whether the​ x-intercepts are positive or negative. D. examining the multiplicity of the real zeros.

D. examining the multiplicity of the real zeros.