Question

Answer this graph based Question I will provide you 50 points + make you brainliest.​

Answer 1

Part a: The value of y is 11 for x = 2.

Part b: The graph for the function y = x² + 4x -1 is drawn.

Part c: Range; (-∞,-3.75]∪[-0.25,∞)

Part d: The function is  y =  -5 - (x + 2)².

Part e: The approximate value of √3  is 1.732.

What is defined as the term function?

• A function is an expression, rule, or law in mathematics that defines a relationship between one dependent variable (a independent variable) and also one more variable (the dependent variable).
• Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

For the given function;

y = x² + 4x -1, the values of y for the corresponding x is given in tables shown.

Part a: value of y when x = 2.

Put x = 2 in the function;

y = x² + 4x -1

y = 2² + 4×2 -1

y = 11

The value of y is 11 for x = 2.

Part b: The graph for the function y = x² + 4x -1 is drawn using the scale of 10 small divisions as 1 unit along x and y axis.

Part c: Range of value of x for which y ≥ -2.

Locate the point of x from the graph for which the value of y  y ≥ -2.

Range; (-∞,-3.75]∪[-0.25,∞)

Part d: The function in the form of y = k - (x - h)², where k and h are the vertex.

The vertex from the graph is found as (-2, -5) (h, k)

Putt in the equation;

y = k - (x - h)²

y = -5 - (x - (-2))²

y =  -5 - (x + 2)²

Part e: 2 - √3 is the root of the equation 0 = x² + 4x -1.

It  2 - √3 is the root of the equation, then by putting this value at x the equation becomes zero.

The approximate value of √3  is 1.732 which is found by long division method.

To know more about the function, here

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