public interface IHealthCheckFunction : IFunction<ILogger>
{
}

public class HealthCheckFunction : FunctionBase<ILogger>, IHealthCheckFunction
{
    ...
    // Dependency injections here

    public override async Task<TOutput> InvokeAsync<TInput, TOutput>(
        TInput input,
        functionOptionsBase options = null)
    {
        var result = (IActionResult)null;
        var requestUri = $"{this._settings.BaseUri.TrimEnd('/')}/{this._settings.Endpoints.HealthCheck.TrimStart('/')}";
        using (var response = await this._httpClient.GetAsync(requestUri).ConfigureAwaitfalse))
        {
            try
            {
                response.EnsureSuccessStatusCode();
                result = new OkResult();
            }
            catch (Exception ex)
            {
                var error = new ErrorResponse(ex);
                result = new ObjectResult(error) { StatusCode = (int)response.StatusCode };
            }
        }

        return (TOutput)result;
    }
}