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Find and simplify the difference quotient for \( f(x)=3x^2+2x-5 \). Enter your final answer using the textbox. Show your work on scratch paper for partial credit consideration.

Let \( f(x)=\frac{2}{x-1} \). Find the equation of \( f^{-1}(x) \). Enter your answer below. Use the forward-slash “/” for fractions. Show your work on scratch paper for partial credit consideration.

Let \( f(x)=\frac{2}{x-1} \). Find the equation of \( f^{-1}(x) \). Enter your answer below. Use the forward-slash “/” for fractions. Show your work on scratch paper for partial credit consideration.

Find the equation in slope-intercept form of a line passing through (0,3) and (1,5).

Use the chart below to answer the questions that follow. 1. Find the rate of change between the years 2016 and 2020 in the average daily time spent using social media. {#1} (Enter as a decimal. Do not round) 2. If t is the number of years since 2016 (t = 0 corresponding to the year 2016), find the equation of the linear function A(t) in slope intercept form that estimates the average daily time spent using social media for the year corresponding to t. Use the slope found in part 1. {#2} 3. Using the function from part 2, in what year does the model predict the average daily time spent using social media will be 162 minutes? {#3}

Let \( f(x)=1+2x \) and \( g(x)=2x^2-x+2 \). Find \( (g \circ f)(x) \). Enter your final answer using the textbox. Use the ^ symbol to denote an exponent (e.g. \( x^2 \) = x^2) Write your work on scratch paper for partial credit consideration.

All questions on this test have you answer either with a numerical response, short answer, or multiple choice selection. In order to receive partial credit, you must show work on scratch paper. This scratch paper should be submitted in-person. Note: If work shown on scratch paper is not consist with the final answer submitted with the quiz, no partial credit will be awarded for that question.

Graph the function \( f(x)=x^3-3x \) using Desmos. Use the graph to answer the questions that follow. 1. What is the value of the relative maximum of the function? {#1} 2. What is the value of the relative minimum of the function? {#2} 3. What is the domain? {#3} 4. Is the function even, odd, or neither? {#4}

Provide an appropriate response.If a roof with a pitch of 1 in 10 rises in the horizontal direction for 1.3 feet, how high is it vertically?

Solve the problem.The students in Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. Round your answer to the nearest tenth.