Sketch the graph of the exponential function
WebbUse the graph of y = e x and transformations to sketch the exponential function f (x) = e x − 6. Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the graphing tool to graph the function. WebbExpert Answer. Total: 27 marks Name: UNIT 6: EXPONENTS AND LOGARITHMS Sketching / Graphing Assignment Lesson 1: Exponential Functions 1. Sketch the graph of y = (31)x and state the domain, range, horizontal asymptote, and intercepts. (6 marks) - domain: - range: - equation of horizontal asymptote: - Intercepts: 2.
Sketch the graph of the exponential function
Did you know?
WebbThree cycles of a trigonometric function with period of 10 and amplitude of 3 . The domain of the function is − 10 ≤ x ≤ 20, x ∈ R. State the following key features for the function: range, intercepts, maximum/minimum values, sinusoidal axis of symmetry. b. An exponential function with range y < 1, y ∈ R and a y-intercept of 0 . WebbUse the graph of y = e x and transformations to sketch the exponential function f (x) = e x − 6. Determine the domain and range. Also, determine the y-intercept, and find the …
WebbBefore doing so, describe how the graph of the function can be obtained from the graph of a basic exponential function. f(x) = 2x+5- 1 Describe how the graph of the function can be obtained from the graph of a basic exponential function. Start with the graph of y: Shift it 5 units and then shift it 1 unit.... WebbExtra Practice Exponential Growth and Decay Sketch the graph of each of the following functions. Label the key point for each. 1. ( ) 12 4xf x += − 2. () 41 23 x f x − = + 3. ( ) 3 2xf x = − − 4. () 21 2 x f x + = 5. ( ) 32 1xf x −= + 6. () 13 2 x f x − = Solve each of the following equations for x.
WebbBecause we know the graph of y=2^x has a horizontal asymptote as y=0 The graph y=2^ (-x) reflects y=2^x over the y-axis y=2^ (-x)-5, the -5 is the vertical shift, so it moves the … WebbThe graph of an exponential function is a strictly increasing or decreasing curve that has a horizontal asymptote. Let's find out what the graph of the basic exponential function …
WebbFör 1 dag sedan · Sketching the inverse of a logarithmic or an exponential function - Identifying and sketching related functions - Higher Maths Revision - BBC Bitesize Identifying and sketching...
WebbReview. We first start with the properties of the graph of the basic exponential function of base a, f (x) = ax , a > 0 and a not equal to 1. The domain of function f is the set of all real numbers. The range of f is the … traducir snooze lightWebbGraphing exponential functions allows us to model functions of the form a x on the Cartesian plane when a is a real number greater than 0.. Common examples of … traducir stood upWebbUse the graph of y = 2^x and transformations to sketch the exponential function. Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. F (x) = (1/2)^x-3 Use the graphing tool to graph the function. This problem has been solved! traducir srpski