Quiz 1 Function Notation and Analyzing Graphs 0:57:24 remaining X Page 1: Question 1 (2 points) 2 3 Given the following three functions, f(x) = 2x - x2 g(a) = V2-a k (t ) = t + 1 4 5 6 Match the statements on the left with the correct answer on the right. Quiz Information 1. -3 g( -2) = 2. 2 K (0) = 3. * (# ) 4. Undefined or not a real number 5. 0 k( - 1) = 6. Functions g(a) and k(t) Which of these functions have restricted 7. None have restricted mathematical domains? mathematical domains. 8. Only function g(a) has a restricted f( - 1) = domain. 9. All of the functions have restricted 9(3) = mathematical domains. 10. 1Question 2 (2 points) Given that T E 1, +0o) Choose all the correct corresponding statements. Ox> 1 This is a coordinate point. Ox z1 O The interval includes x = 1. O This is an interval. The interval excludes x = 1.Question 3 (2 points) 2 Sketch the following linear function using DESMOS: fx)= - 3_X + 4 Analyze the graph by answering the following questions. Correct notation is expected. For infinity, show +inf or -inf, as appropriate. There should be no spaces in your answers. The number format is specified in each question below. a) State the integer coordinates of the y-intercept: | Y b) State the integer coordinates of the x-intercept: | v c) State the interval for x representing the mathematical domain: | o d) State the interval fory representing the mathematical range, | v e) Is this function increasing or decreasing on its domain? Type in either increasing or decreasing: | v f) Fill in the end-behaviour: as L + 0O Y | o g) Fill in the end-behaviour: as L OQ y Y L Sketch the following quadratic function using DESMOS: fx) = x* + 2x = 3 Analyze the graph by answering the following questions. Correct notation is expected. For infinity, show +inf or -inf, as appropriate. There should be no spaces in your answers. The number format is specified in each question below. a) State the integer coordinates of the y-intercept: | v b) State the integer coordinates of the x-intercepts, in increasing numerical order: c) State the interval representing the mathematical domain, & & v w | | v d) State the interval representing the mathematical range, Y e) State the coordinates of the turning point: A | o State whether this point represents a maxima or a minima (type in the word): f) Enter the interval of increase: & A '.. ' A, and decrease: L ' ' Ay g) Fill in the end-behaviour: as & +00 , Y | v h) Fill in the end-behaviour: L 0Q0, Y | Y Question 5 (1 point) Select all the coordinates that are points on the graph of the function: f(@) = |2* 4] () (0,-4) ~1(0,4) (2,0) (1,3) (-3 (2,2 Question 6 (1 point) Select all the correct properties of the function: | This is an increasing function. f(x) =22 3 ~ | The graph is a line. : This is a decreasing function. ) The x-intercept is (1.5,0) (] The slope of the line is 2. _ | The y-intercept is (0,2) | The slope of the line is -3