Use the graph of the function ( y=h(x) ) below to answer the questions. (a) Is ( h(-2) ) negative? Yes ( igcirc ) No (b) For which value(s) of ( x ) is ( h(x) geq 0 ) ? Write your answer using interval notation. (c) For which value(s) of ( x ) is ( h(x)=0 ) ? If there is more than one value, separate them with commas.
Added by Partyka F.
Close
Step 1
If the y-value (h(x)) at that point is below the x-axis (i.e., has a negative value), then h(-2) is negative. Looking at the graph, we can see that at x = -2, the function is indeed below the x-axis. So, h(-2) is negative. The answer is Yes. (b) Show more…
Show all steps
Your feedback will help us improve your experience
Tim Thornhill and 61 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The graph of the function H(x) is shown below. Use the graph to answer the following. (a) What is the domain of H(x)? (Enter the domain using interval notation.) (b) Determine H(-2). H(-2) = (c) Determine the value of x so that H(x) = -5 x =
Babita K.
Graph each of the following functions. Check your results using a graphing calculator. $$h(x)=\left\{\begin{array}{ll} 2 x-1, & \text { for } x<2 \\ 2-x, & \text { for } x \geq 2 \end{array}\right.$$
More on Functions
Increasing, Decreasing, and Piecewise Functions; Applications
The graph of a function h is given. (a) Find h(-2), h(0), h(2), and h(3). h(-2) = 1 h(0) = -1 h(2) = 3 h(3) = 4 (b) Find the domain and range of h. (Enter your answers using interval notation.) domain [-3,4] range [-1,4] (c) Find the values of x for which h(x) = 3. (Enter your answers as a comma-separated list.) x = -3, 2 (d) Find the values of x for which h(x) ≤ 3. [-3, 2] and 4 [2, 4] and -3 (2, 4) (-3, 2) -3, 2, 4
Suman Saurav T.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD