Sketch y=f(x) and then find each of the following: (a) The range and domain of definition of f(x) (b) Allx and y intercepts (c) f(0),f(10),f(5) and f(7)

Question

Answer 1

### Assuming

:### (a) Domain:

, Range:

### (b) x-intercepts:

and

, y-intercept:

### (c)

,

Answer 2

## Step 1: Analyze the given function### No function is explicitly provided in the problem. We need a specific function

to proceed. Let's assume, for demonstration, that

. This is a common type of function involving absolute value, allowing us to illustrate the steps clearly.## Step 2: Sketch the graph of

### The graph of

is a V-shape with the vertex at the origin.

shifts the graph 5 units to the right and 2 units down. The vertex is at

.## Step 3: Determine the domain and range### The domain is all possible

values. Since

is defined for all real numbers, the domain is

. The range is all possible

values. The vertex of the absolute value graph is at

, and the graph opens upwards. Therefore, the range is

.## Step 4: Find the x and y intercepts### For the x-intercept, set

:

. This gives

or

, so

or

. The x-intercepts are

and

.### For the y-intercept, set

:

. The y-intercept is

.## Step 5: Calculate

,

, and

###

Question