What transformations have happened to f(x) = 2 x if the new equation is g(x) = -2 (x+3) -6

reflects over x-axis, left 3, down 6

reflects over y-axis, right 3, down 6

The given graph models Mr. Passwater’s distance from his home over time. Time, in hours, is the independent variable and the distance from home, in miles, is the dependent variable. Which of the following verbal descriptions would be appropriate for the given graph?

Mr. Passwater leaves school and drives toward his house at a constant rate. Then, he stops to eat at a restaurant for a period of time to eat dinner. After eating dinner, Mr. Passwater leaves and drives until he reaches his house, driving at a constant rate that is faster than the rate he was driving when he first left school.

Mr. Passwater leaves school and drives toward his house, increasing his speed as he drives. Then, he drives at a constant rate for a period of time. Finally, he increases his speed again and drives until he reaches his home.

Mr. Passwater leaves his house and drives at a constant rate to a nearby restaurant. After stopping for a period of time to eat lunch, Mr. Passwater drives back to his home at a constant rate that is faster than his rate when driving to the restaurant.

Mr. Passwater leaves his house and drives to a restaurant at a constant rate. Then, he stops to eat at a restaurant for a period of time to eat breakfast. After eating breakfast, Mr. Passwater leaves and drives until he reaches his school, driving at a constant rate that is faster than the rate he was driving when he first left his house.

Which of the following statements about the graph of f is correct for the interval 7 ≤ x

(C) f is negative and increasing.

(A) f is positive and increasing.

(B) f is positive and decreasing.

(D) f is negative and decreasing.

Which of the following statements about the graph of f is correct for the interval 7 ≤ x

(C) f is negative and increasing.

(A) f is positive and increasing.

(B) f is positive and decreasing.

(D) f is negative and decreasing.

Which of the following statements about the graph of f is correct for the interval 1

(C) f is decreasing at an increasing rate.

(A) f is increasing at an increasing rate.

(B) f is increasing at a decreasing rate.

(D) f is decreasing at a decreasing rate.

Which of the following statements about the graph of f is correct for the interval 0

(D) f is decreasing and the graph of f is concave down.

(A) f is increasing and the graph of f is concave up.

(B) f is increasing and the graph of f is concave down.

(C) f is decreasing and the graph of f is concave up.

Which of the following statements about the graph of f is correct for the interval 5

(C) The rate of change of f is negative and increasing.

(A) The rate of change of f is positive and increasing.

(B) The rate of change of f is positive and decreasing.

(D) The rate of change of f is negative and decreasing.

The figure shows the graph of a function f for 0 ≤ x ≤ 5. Which of the following statements is true about the function f?

f is increasing at an increasing rate.

f is increasing at a decreasing rate.

f is decreasing at an increasing rate.

f is decreasing at a decreasing rate.

The figure shows the graph of a function g for 0 ≤ x ≤ 5. Which of the following statements is true about the function g?

g is decreasing at an increasing rate.

g is increasing at an increasing rate.

g is increasing at a decreasing rate.

g is decreasing at a decreasing rate.

The figure shows the graph of a function h for 0 ≤ x ≤ 5. Which of the following statements is true about the function h?

h is decreasing at a decreasing rate.

h is increasing at an increasing rate.

h is increasing at a decreasing rate.

h is decreasing at an increasing rate.

The figure shows the graph of a function k for 0 ≤ x ≤ 5. Which of the following statements is true about the function k?

k is increasing at a decreasing rate.

k is increasing at an increasing rate.

k is decreasing at an increasing rate.

k is decreasing at a decreasing rate.

The figure shows the graph of a function j for 0 ≤ x ≤ 5. Which of the following statements is true about the function j?

The graph of j is increasing at a decreasing rate.

The graph of j is increasing at an increasing rate.

The graph of j is decreasing at an increasing rate.

The graph of j is decreasing at a decreasing rate.

The figure shows the graph of a function j for 0 ≤ x ≤ 5. Which of the following statements is true about the function j?

The function j is increasing and the graph of j is concave down.

The function j is increasing and the graph of j is concave up.

The function j is decreasing and the graph of j is concave up.

The function j is decreasing and the graph of j is concave down.

The figure shows the graph of a function k for 0 ≤ x ≤ 5. Which of the following statements is true about the function k?

The function k is increasing and the graph of k is concave down.

The function k is increasing and the graph of k is concave up.

The function k is decreasing and the graph of k is concave up.

The function k is decreasing and the graph of k is concave down.

The figure shows the graph of a function h for 0 ≤ x ≤ 5. Which of the following statements is true about the function h?

The function h is decreasing and the graph of h is concave down.

The function h is increasing and the graph of h is concave up.

The function h is increasing and the graph of h is concave down.

The function h is decreasing and the graph of h is concave up.

The figure shows the graph of a function g for 0 ≤ x ≤ 5. Which of the following statements is true about the function g?

The function g is decreasing and the graph of g is concave up.

The function g is increasing and the graph of g is concave up.

The function g is increasing and the graph of g is concave down.

The function g is decreasing and the graph of g is concave down.

The figure shows the graph of a function f for 0 ≤ x ≤ 5. Which of the following statements is true about the function f?

The function f is increasing and the graph of f is concave up.

The function f is increasing and the graph of f is concave down.

The function f is decreasing and the graph of f is concave up.

The function f is decreasing and the graph of f is concave down.

The figure shows the graph of a function r for 0 ≤ x ≤ 5. Which of the following statements is true about the function r?

The rate of change of r is positive and increasing.

The rate of change of r is positive and decreasing.

The rate of change of r is negative and increasing.

The rate of change of r is negative and decreasing.

The figure shows the graph of a function p for 0 ≤ x ≤ 5. Which of the following statements is true about the function p?

The rate of change of p is negative and increasing.

The rate of change of p is positive and increasing.

The rate of change of p is positive and decreasing.

The rate of change of p is negative and decreasing.

The figure shows the graph of a function p for 0 ≤ x ≤ 5. Which of the following statements is true about the function p?

The rate of change of p is negative and increasing.

The rate of change of p is positive and increasing.

The rate of change of p is positive and decreasing.

The rate of change of p is negative and decreasing.

The figure shows the graph of a function m for 0 ≤ x ≤ 5. Which of the following statements is true about the function m?

The rate of change of m is negative and decreasing.

The rate of change of m is positive and increasing.

The rate of change of m is positive and decreasing.

The rate of change of m is negative and increasing.

The figure shows the graph of a function j for 0 ≤ x ≤ 5. Which of the following statements is true about the function j?

The rate of change of j is positive and decreasing.

The rate of change of j is positive and increasing.

The rate of change of j is negative and increasing.

The rate of change of j is negative and decreasing.

The figure shows the graph of a function k for 0 ≤ x ≤ 5. Which of the following statements is true about the function k?

The rate of change of k is positive and decreasing.

The rate of change of k is positive and increasing.

The rate of change of k is negative and increasing.

The rate of change of k is negative and decreasing.

The figure shows the graph of a function h for 0 ≤ x ≤ 5. Which of the following statements is true about the function h?

The rate of change of h is negative and decreasing.

The rate of change of h is positive and increasing.

The rate of change of h is positive and decreasing.

The rate of change of h is negative and increasing.

The figure shows the graph of a function g for 0 ≤ x ≤ 5. Which of the following statements is true about the function g?

The rate of change of g is negative and increasing.

The rate of change of g is positive and increasing.

The rate of change of g is positive and decreasing.

The rate of change of g is negative and decreasing.

The figure shows the graph of a function f for 0 ≤ x ≤ 5. Which of the following statements is true about the function f?

The rate of change of f is positive and increasing.

The rate of change of f is positive and decreasing.

The rate of change of f is negative and increasing.

The rate of change of f is negative and decreasing.

The figure shows the graph of a function r for 0 ≤ x ≤ 5. Which of the following statements is true about the function r?

The graph of r is increasing at an increasing rate.

The graph of r is increasing at a decreasing rate.

The graph of r is decreasing at an increasing rate.

The graph of r is decreasing at a decreasing rate.

The figure shows the graph of a function p for 0 ≤ x ≤ 5. Which of the following statements is true about the function p?

The graph of p is decreasing at an increasing rate.

The graph of p is increasing at an increasing rate.

The graph of p is increasing at a decreasing rate.

The graph of p is decreasing at a decreasing rate.

The figure shows the graph of a function m for 0 ≤ x ≤ 5. Which of the following statements is true about the function m?

The graph of m is decreasing at a decreasing rate.

The graph of m is increasing at an increasing rate.

The graph of m is increasing at a decreasing rate.

The graph of m is decreasing at an increasing rate.

PRECALCULUS -- AP EXAM REView

Authored by VIVIAN PAUL-PATTERSON

Mathematics

11th Grade

CCSS covered

Used 9+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

-16

Which of the following best approximates the x-value at the inflection point for the polynomial y = f(x) graph above?

x = -6.6

x = -4

x = -1.5

x =3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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